Answer:
168
Step-by-step explanation:
photos are enlarged by a certain factor, divide the new width by the old width and youll get the factor (12).
You can then multiply the original height by 12 to get the answer
12 X 14 =168
Answer:
D: 168.
Step-by-step explanation:
Divide the new width by the old width to find the scale factor of 12. Then multiply 12 by the old length of 14 to get 168 the new length.
Achley Company began the year with owner's equity of 5175000 . During the year, the company recoeded cevenues of $225,000, esgenses of $165,000, and had owner dowings of 550.000. What was Aaivey Comphny's owner's engiety at the end of the year?
At the end of the year, Achley Company's owner's equity is $4,685,000 and can be calculated by starting with the beginning owner's equity, adding the revenues, subtracting the expenses, and subtracting the owner's withdrawals.
To calculate Achley Company's owner's equity at the end of the year, we start with the beginning owner's equity of $5,175,000. We then add the revenues of $225,000 and subtract the expenses of $165,000. This gives us the net income, which is the difference between revenues and expenses, and represents the increase in owner's equity.
So, net income = revenues - expenses = $225,000 - $165,000 = $60,000. Next, we subtract the owner's withdrawals of $550,000 from the net income. Owner's withdrawals are personal expenses or cash withdrawals made by the owner and reduce the owner's equity.
Owner's equity at the end of the year = Beginning owner's equity + Net income - Owner's withdrawals.Owner's equity at the end of the year = $5,175,000 + $60,000 - $550,000. Calculating the above expression, we find that Achley Company's owner's equity at the end of the year is $4,685,000.
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roatate triangle p 90* clockwise about the point (2,-1)
Answer:
hope this helps
Step-by-step explanation:
help pleaseee its timed thank you
Answer:
It's the first one
Step-by-step explanation:
Which of the following is a solution of the differential equation xy' + y = 14x? · y = 14x – 8x-1 o y = 8x-1 - 7x · y = 7x – 8x-1 · y = 16x-1 - 7x · y = 14x + 8x-1
Option D is a solution to the given differential equation. To check which of the options is a solution of the given differential equation.
we can simply substitute y and y' from each option into the equation and see if it satisfies the equation.
Let's begin with option A:
y = 14x – 8x^(-1)
y' = 14 + 8x^(-2)
Substituting these values into the differential equation xy' + y = 14x, we get:
x(14 + 8x^(-2)) + (14x - 8) = 14x
Simplifying this expression, we get:
14x + 8 - 8 + 14x(-1) = 0
This simplifies to:
14x - 14x = 0
Therefore, option A is not a solution to the given differential equation.
We can repeat this process for each option, but I can already tell you that option D is the correct answer. Here's the proof:
y = 14x + 8x^(-1)
y' = 14 - 8x^(-2)
Substituting these values into the differential equation xy' + y = 14x, we get:
x(14 - 8x^(-2)) + (14x + 8x^(-1)) = 14x
Simplifying this expression, we get:
14x + 8x^(-1) = 14x
Therefore, option D is a solution to the given differential equation.
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Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.
This question is incomplete, the complete question is;
Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.
Is the sampling distribution of the difference in sample means approximately normal?
a) Yes, because Alicia selected a random sample
b) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size.
c) Yes, because the size of each sample is at least 30
d) No, because the distribution of Brand A shoes has outliers
e) No, because the shape of the population distribution is unknown.
Answer:
the sampling distribution of the difference in sample means is approximately normal because the size of each sample is al least 30
Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.
Step-by-step explanation:
Given the data in the question;
sample size of brand A shoes \(n_A\) = 40
sample size of brand B shoes \(n_B\) = 33
As we can notice,
\(n_A\) = 40 > 30
\(n_B\) = 33 > 30
Hence, we consider both samples to be large.
Therefore, the sampling distribution of the difference in sample means is approximately normal because the size of each sample is al least 30.
Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.
two points are marked at random on a unit segment. what is the probability that the three obtained segments can be arranged into a triangle?
The probability that the three segments can be arranged to form a triangle is 1 - 1/6 = 5/6. Answer: 5/6
Let's consider a unit segment that is 1 unit in length. Assume two points A and B are chosen arbitrarily on the segment. Now, we need to determine the probability that the three segments formed by these two points can be arranged to form a triangle. Let these segments be AB, AC, and BC,
where C is any point that lies between A and B.There are several techniques for solving this problem. We'll use the geometric probability approach.
First, we'll draw a diagram of the segment AB and then a point C between A and B. Let the lengths of segments AB, AC, and BC be represented by x, y, and z, respectively, as shown in the figure below. \(\overline{AB}\) is a unit segment and C lies between A and B.
The lengths of \(\overline{AC}\) and \(\overline{BC}\) are x and y units respectively.Let's use the Triangle Inequality theorem to see if these segments can form a triangle.
According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, or a + b > c, where a, b, and c are the lengths of the sides.
Using this theorem, we can write the following inequalities:x + y > zx + z > yz + y > xAdding these three inequalities together, we get:2x + 2y + 2z > x + y + z, orx + y + z > 1.
Hence, the probability that the three segments can be arranged to form a triangle is 1 - P(x + y + z ≤ 1). Let's compute P(x + y + z ≤ 1) by determining the area of the region where x + y + z ≤ 1. This area is a tetrahedron with a base of area 1/2 and a height of 1/3, giving a volume of 1/6.
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What is 3. 9 x 7. 1 because Im confused on what to do
Answer:
27.69
Do not worry about the decimal point until you get your answer.
Just multiply like there is no decimal at all.
When you do get your answer, count how many decimal places are after the decimal point. In this case, we have two decimal places.
3.9
7.1
x-----
I hope this helps!
Formalize the following in terms of atomic propositions r, b, and w, first making clear how they correspond to the
English text. (a) Berries are ripe along the path, but rabbits have not been seen in the area.
(b) Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
(c) If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
(d) It is not safe to walk along the path, but rabbits have not been seen in the area and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to
pave been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area and berries are ripe along the path.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path. This is formalized by using the →(if-then) and ∧(logical and) operators.
Given information and corresponding atomic propositions:
We need to formalize the given statements in terms of atomic propositions r, b, and w, which are defined as follows:
r: Rabbits have been seen in the area.
b: Berries are ripe along the path.
w: Walking on the path is safe.
Now, let us formalize each of the given statements in terms of these atomic propositions:
a) Berries are ripe along the path, but rabbits have not been seen in the area.
b: Rabbits have not been seen in the area, and walking on the path is safe, but berries are ripe along the path.
c: If berries are ripe along the path, then walking is safe if and only if rabbits have not been seen in the area.
d: It is not safe to walk along the path, but rabbits have not been seen in the area, and the berries along the path are ripe.
e) For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
Walking is not safe on the path whenever rabbits have been seen in the area, and berries are ripe along the path.
The formalizations in terms of atomic propositions are:
a) b ∧ ¬r.b) ¬r ∧ w ∧
b.c) (b → w) ∧ (¬r → w).
d) ¬w ∧ ¬r ∧
b.e) (¬r ∧ ¬b) → w.b ∧
Berries are ripe along the path, but rabbits have not been seen in the area.
This is formalized by using the ∧(logical and) operator.
(¬r ∧ ¬b) → w: It means For walking on the path to be safe, it is necessary but not sufficient that berries not be ripe along the path and for rabbits not to have been seen in the area.
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Line m contains the points a(-2,6) and b(4,8) while line n contains the c(8,12) and d(x,24). given m and n are perpendicular lines solve for the solve of x. given m and n are parallel lines, solve for the value of x
4 is the value of x ,on solving that m and n are in perpendicular lines. calculating the slope of AB is explained below,
in order to find the slope of AB. the formula is used as
m=(y2-y1)/(x2-x1)
on substituting we get,
m=(8-6)/(4-(-2))
m=2/6
m=1/3
Calculating CD in which it is perpendicular to AB
hence, it should contains the negative reciprocal of the slope of AB, mathematically as ,
m1 * m2= - 1 ,condition is applied when m and n lines to be perpendicular
hence,
m/3=-1
m = - 3
therefore CD will have a slope of -3
in which CD can be expressed as part of the each line:
y=-3x+b, on solving for b using point C, (8,12)...
12 = - 3(8) + b
12= - 24 + b
36=b
hence, the line of CD is :
y = - 3x + 36
the x coordinate is calculated for (x,24),
hence,
y=24
24=-3x+36
3x+24=36
3x=12
x=4
therefore the value of x = 4 when the 2 lines are in parallel lines .
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find the rate of change in the expression please help
Given:
The points are (1,9.5), (2,12), (3,14.5), (4,17).
To find:
The rate of change in the expression.
Solution:
Clearly the value of y increasing with respect to x by a constant rate.
Formula of rate of change is
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
Consider the any two points from the expression (1,9.5) and (2,12).
\(m=\dfrac{12-9.5}{2-1}\)
\(m=\dfrac{2.5}{1}\)
\(m=2.5\)
Therefore, the rate of change is 2.5.
How do I write the polynomial -10xy^5+2x^3y^2-6x^2y^2 in standard form??
Will give brainliest if you provide the steps and answer
Answer:
-8xy^5-6xy^4
Step-by-step explanation:
-10xy^5+(2x^3)(y^2)-(6x^2)(y^2)
-10xy^5+2xy^5 -6xy^4
-8xy^5-6xy^4
This should be good but if your teacher requires it just put 0 with the exponent in descending order
Answer:
Answering on an Alt account to give brainliest :p
Step-by-step explanation:
IF TWO ANGLES ARE CORRESPONDING ANGLES AND <1=59, WHAT IS THE MEASURE OF <2?
Answer:
72 degrees. Don’t copy me!!!!
Step-by-step explanation:
Why is y=-2x considered a function?
because there are values of y that correspond to more than one value of x.
because x is bigger than y.
because the value of y corresponds only to one value of x.
because y is bigger than x.
Yes
Step-by-step explanation:
its a direct-variation function
whats the product of 1.74 * 10^(6) and 2.55 * 10^(7)?
Answer:
use calculator duh
Step-by-step explanation:
Answer:
3.12*10^-9
Step-by-step explanation:
took the test
Tracy a teacher is and she's paid a monthly salary of $3,728 calculate her salary per annum
Answer:
$44,736
-
Hourly: $21.51
Daily: $172.06
Weekly: $860
Bi-Weekly: $1,721
Semi-Monthly: $1,864
Monthly: $3,728
Quarterly: $11,184
Annual: $44,736
a company makes plant food. it experiments on 20 tomato plants, 10 that are given the plant food and 10 that are not, to see whether the plants are given the plant food grow more tomatos. the number of tomatos for each plant given the plant food are 5,9,3,10,12,6,7,2,15 and 10. the numbers of each tomatos for each plant not given the plant food are 3,5,4,16,7,5,14,10,6 use the data to support the argument that the plant food works.
Based on the data collected, it can be concluded that the plant food works and has a positive effect on the growth and yield of tomato plants.
Based on the data collected from the experiment, it can be argued that the plant food works. The 10 tomato plants that were given the plant food produced an average of 8.4 tomatoes per plant, while the 10 tomato plants that were not given the plant food produced an average of 7.5 tomatoes per plant.
This difference in the average number of tomatoes produced suggests that the plant food has a positive effect on the growth and yield of tomato plants.
Additionally, the highest number of tomatoes produced by a plant given the plant food was 15, while the highest number of tomatoes produced by a plant not given the plant food was 16, indicating that the plant food can potentially produce equally high yields.
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Please help me, and hurry. It's an emergency!!! (Ok maybe not an emergency but I definitely need help.)
Answer:
When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is -8 or -7 or -4 or 4 or 7 or 8 and the power of ten is -8 or -7 or or -4 or 4 or 7
please help me
Step-by-step explanation:
What type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figure?
Translation type of transformation can be defined as moving a figure to a new location with no change to the size or shape of the figure.
Now, According to the question:
Type of Transformation:
There are four types of transformation in geometry, namely translation, reflection, rotation, and dilation. In translation, it slides the figure in any direction while in reflection, it flips the figure over a point or a line. Also, in rotation the figure turns, while in dilation the figure is either enlarged or reduced.
The type of transformation can be defined as moving a figure to a new location, without any change in the figure's size or shape being called translation. In translation, the figure merely slides or moves in the same direction and distance.
Therefore, the answer is Translation.
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A Create a linear expression
Answer:
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB. Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .Step-by-step explanation:
10) Stephanie and Abhasra are selling pies for a school fundraiser. Customers can buy blueberry piesand blackberry pies. Stephanie sold 6 blueberry pies and 14 blackberry pies for a total of $206.Abhasra sold 12 blueberry pies and 7 blackberry pies for a total of $139. Find the cost each ofone blueberry pie and one blackberry pie.A) blueberry pie: $4, blackberry pie: $13 B) blueberry pie: $13, blackberry pie: $4C) blueberry pie: $5, blackberry pie: $9
hello
to solve this problem, we need to write out the statements in form of equations
let x represents blueberry pie
let y represents blackberry pie
Steph sold 6 blueberry pies and 14 blackberry pie blueberry pies and 14 blackberry pie
At the Piedmont Middle School baseball game last Friday, the Piedmont Ravens hit 3 times as many foul balls as the other team, the Rossville Crows. If the Ravens hit 8 more foul balls than the Crows, how many foul balls did the Ravens hit?
Answer:
Step-by-step explanation:
Piedmont Middle School = 3x
Let the crows = x foul balls
x+ 8 = 3x Subtract x from both sides
x-x + 8 = 3x - x
8 = 2x
x = 4
So the crows hit 4 foul balls
The ravens must have hit 12 foul balls.
They did hit 8 more than the crows did.
Determine the inverse of the following.
y =- log(x - 1) + 2
Answer:
\(f^{-1}\)(x)=\(10^{-x+2}\)+1
Step-by-step explanation:
Which of these transformations will take parallelogram PQRS onto itself?
(A) a reflection over the line * = -5 (B) a reflection over the line y = -5
(c) a 180° clockwise rotation about the center of the parallelogram
(D) a 360° clockwise rotation about the center of the parallelogram
The transformation that will take parallelogram PQRS onto itself is (D) a 360° clockwise rotation about the center of the parallelogram.
A 360° rotation is equivalent to a full rotation, meaning that the parallelogram will end up in the same position as it started. Therefore, this transformation will take the parallelogram onto itself.
A reflection over the line y = -5 or x = -5 will not take the parallelogram onto itself, as it will result in a mirrored image of the original parallelogram. Similarly, a 180° rotation will result in the parallelogram being in a different position than it started.
Therefore, the correct answer is (D) a 360° clockwise rotation about the center of the parallelogram.
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the equivalent metric length of a 3-inch scar would be
Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.
Explanation: Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used.3 inches is the measurement of the scar in customary units. To convert 3 inches to metric units, multiply it by the conversion factor. There are 2.54 centimeters in one inch, which is the conversion factor. To find the equivalent metric length of a 3-inch scar, multiply 3 by 2.54. Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters. The equivalent metric length of a 3-inch scar would be 7.62 centimeters. Metric length is a measurement system that uses the metric unit. The metric unit is more common than the customary unit system in the United States. To convert customary unit lengths to metric lengths, a conversion factor is used. There are 2.54 centimeters in one inch, which is the conversion factor.
Therefore, the equivalent metric length of a 3-inch scar would be 7.62 centimeters.
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How would i solve a problem like this?
i'm confused on how probability works with combinations, could someone explain using this example? thanks!
The number of combinations of size \(k\) that you can make with \(n\) items is given by the so-called binomial coefficient,
\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)
• \(n!\) is the number of ways of permuting \(n\) items.
• \((n-k)!\) is the number of ways of permuting all but \(k\) of the \(n\) items.
Dividing \(n!\) by \((n-k)!\) then gives the number of ways of permuting only \(k\) of the total \(n\) items.
• \(k!\) is the number of ways of permuting \(k\) items.
Dividing \(\frac{n!}{(n-k)!}\) by \(k!\) then removes all those permutations which contain the same items. We call these combinations.
For this problem we only care about counting combinations.
There are
\(\dbinom 63 = \dfrac{6!}{3!(6-3)!} = 20\)
ways of selecting any 3 girls from the total 6 girls in the entire group of people.
There are
\(\dbinom 72 = \dfrac{7!}{2!(7-2)!} = 21\)
was of selecting any 2 boys from the total 7 boys.
Then there are
\(\dbinom 63 \dbinom 72 = 20\cdot21 = \boxed{420}\)
ways of choosing a committee of 5 people consisting of 3 girls and 2 boys.
If the next question were, "What is the probability that a committee of 5 randomly selected people consists of 3 girls and 2 boys?", then you would additionally need to compute the number of ways one can make a committee of 5 people from the total 13, which is
\(\dbinom{13}5 = \dfrac{13!}{5!(13-5)!} = 1287\)
Then the probability of selecting such a committee at random is
\(\dfrac{\binom 63 \binom72}{\binom{13}5} = \dfrac{420}{1287} = \dfrac{140}{429} \approx 0.3263\)
Corn Growth Sweet corn plants can grow 4.0 cmcm in height per day. What is this speed in millimeters per second
The speed of the growth of a sweet corn plants is 0.00046 mm/s.
To convert the growth speed of sweet corn plants from centimeters per day to millimeters per second, we need to use a conversion factor that will take care of the units of measurement.
The conversion factor to use is as follows:
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
1 cm = 10 mm
Using the above conversion factors, we can get the speed in millimeters per second as follows:
Speed in centimeters per day = 4.0 cm/day
Speed in millimeters per day = 4.0 cm/day x 10 mm/cm = 40 mm/day
Speed in millimeters per second = 40 mm/day ÷ (24 hours/day x 60 min/hour x 60 sec/min)= 0.00046 mm/s
Therefore, the speed of growth of sweet corn plants is 0.00046 mm/s. Answer: 0.00046 mm/s.
Hence, the required answer for the speed of growth of sweet corn plants is 0.00046 mm/s
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Which of the following statement/s is/are correct? I. A statistic can never be larger than a parameter II. A statistic can never be equal to zero III. A statistic can never be smaller than a parameter IV. A statistic can be calculated whereas a parameter can never be established V. A statistic can never be equal to a parameter A. I, II, III and IV B. V Only c. None of these D. IV and V E. IV Only
A statistic can never be larger than a parameter is not a correct statement. The correct statement among the following is as follows: IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.
Statistics and parameters are two fundamental concepts in statistical analysis. Both of these concepts are widely used in various researches and surveys.
A statistic is a numerical value that represents a particular characteristic of the sample and is used to estimate an unknown parameter. A parameter is a numerical value that represents a particular characteristic of a population.Statistics can be larger, smaller, or equal to parameters. A statistic is a value that is calculated from a sample, whereas a parameter is a value that represents a population characteristic and is estimated from the sample.A parameter can be established, but it is only possible if the entire population is considered for analysis. In contrast, a statistic is calculated from a sample of the population and represents only the characteristics of the sample.
:A statistic can never be larger than a parameter is not a correct statement. The correct statement is IV Only. The statement "A statistic can be calculated whereas a parameter can never be established" is the correct statement.
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Which expression represents the correct form for the quotient and remainder, written as partial fractions, of StartFraction 7 x squared minus 40 x + 52 Over x squared minus 6 x + 9 EndFraction?
Answer:
\(A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }\)
Step-by-step explanation:
First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is \(7+\frac{2x-11}{x^2-6x+9}\).
Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, \((x-3)^{2}\).
Finally, we have all of our necessary information to set up all of our partial fractions.
This gives us \(A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }\), which is our answer.
Quadrilateral STUV is congruent to LMNP. What are the lengths of the diagonals of STUV?
Given that quadrilateral STUV is congruent to LMNP.
We need to find the lengths of the diagonals of STUV.Solution:We know that the diagonals of a quadrilateral divide it into two triangles. Let's consider triangle STU and triangle SVU.
Since STUV is a quadrilateral, the sum of the opposite angles should be equal to 180°.So, ∠STU + ∠SVU = 180°Since the two triangles are congruent, the angles opposite to equal sides are equal.
Let's say diagonal UT is congruent to diagonal SV, and diagonal ST is congruent to diagonal UV.
Then, ∠UTS = ∠SUV (opposite angles)and ∠UST = ∠SVU (opposite angles)
Since ∠STU + ∠SVU = 180°∠STU + ∠UST = 180°∠STU = 180° - ∠UST
Similarly, ∠SVU = 180° - ∠SUV
Since STUV is a quadrilateral, we can say that diagonals ST and UV intersect at point Q.
Similarly, diagonals UT and SV intersect at point R.
In ΔSTU:QR is the median of TU.QR = 1/2TU = 1/2(x) = x/2
In ΔSVU:QR is the median of UV.QR = 1/2UV = 1/2(y) = y/2Therefore, the diagonals ST and UV are of length (x) and the diagonals UT and SV are of length (y).
Since STUV is congruent to LMNP, we can say that the diagonals of quadrilateral LMNP are congruent to the diagonals of quadrilateral STUV.
So, the lengths of the diagonals of STUV are x and y. Answer: The lengths of the diagonals of STUV are x and y.
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The lengths of the diagonals of STUV include the following: D. SU = 10 and TV = 2√5.
How to determine the diagonals of STUV?Based on the information provided about these quadrilaterals, we can reasonably infer and logically deduce that both quadrilateral STUV and quadrilateral LMNP are congruent.
Therefore, the diagonals of STUV can be determined by using the following distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where:
x and y represent the coordinates on a cartesian coordinate.
By substituting the given end points into the distance formula, we have the following;
Distance SU = √[(0 - 8)² + (0 - 6)²]
Distance SU = √[(-8)² + (-6)²]
Distance SU = √[64 + 36]
Distance SU = √100 = 10 units.
For diagonal TV, we have:
Distance TV = √[(2 - 6)² + (4 - 2)²]
Distance TV = √[(-4)² + (2)²]
Distance TV = √[16 + 4]
Distance TV = √20 = 2√5 units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
n/−3 +5>4 Solve for this
Answer:
N<3
Step-by-step explanation: