Given: \(\textsf{Slope = -3, Passes through (3, -4)}\)
Find: \(\textsf{Equation in slope-intercept form}\)
Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.
Plug in the values
\(y - y_1 = m(x - x_1)\)\(y - (-4) = -3(x - 3)\)Distribute
\(y + 4 = (-3 * x) + (-3 * - 3)\)\(y + 4 = -3x + 9\)Subtract 4 from both sides
\(y + 4 - 4 = -3x + 9 - 4\)\(y = -3x + 9 - 4\)\(y = -3x + 5\)Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be \(y = -3x + 5\).
Can the following quadrilateral be proven to be a parallelogram based on the given information? Explain.
(picture shown below)
A.) No. It cannot be proven because at least two of the adjacent angles are not congruent to each other
B.) Yes. It can be proven because both pairs of opposite sides are congruent.
C.) No. It cannot be proven because it does not have an angle that is supplementary to both of its consecutive angles.
D.) Yes. It can be proven because both pairs of opposite angles are congruent.
Answer:
Step-by-step explanation:
The answer is, no!
Step-by-step explanation:
The reason to that answer is that some other shapes are also, having the same properties as shown. An example for that property would also mean a rectangle and not always a parallelogram.
So, here is the given information on what we need to classify a shape as a parallelogram:-
1) Parallel Sides
2)Opposite Sides are equal.
3) Adjacent sides are not equal.
4) Opposite angles are equal.
5)Adjacent angles are not equal.
Based on this, we can classify a shape as a parallelogram.
Hope, this answer helps!
PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answer:
Step-by-step explanation:
10
Ws
Explain the difference between a) comparing, b) non-standard units of measurement and c) standardised units of measurement.
Answer:
a) Comparing: Comparing means evaluating the similarity or difference between two or more objects, values, or variables. It is a process of identifying and highlighting the similarities and differences among objects, values, or variables based on specific criteria.
b) Non-standard units of measurement: Non-standard units of measurement are those that are not part of the International System of Units (SI) and are often created for specific purposes or contexts. These units may be used to measure variables such as time, distance, weight, or volume, but they are not universally recognized or standardized.
c) Standardized units of measurement: Standardized units of measurement are those that are part of the International System of Units (SI) and are universally recognized and accepted. These units provide a standard framework for measuring variables such as time, distance, weight, or volume, making it possible to compare and communicate measurements accurately across different contexts and languages. Some examples of standardized units of measurement include seconds, meters, kilograms, and liters.
Plz guysl need an answer plz guys
Answer:
w = 5
Step-by-step explanation:
The whole perimeter is 400 cm
15 + 15 = 30
40 - 30 = 10
10 divided by 2 = 5
Answer:
Width = 5 cm
Step-by-step explanation:
The total perimeter is 40 cm. The perimeter is all of the side lengths added together, so the formula is: length + length + width + width = perimeter. We already know that the length is 15 cm and the perimeter is 40 cm, so the equation is: 15 + 15 + width + width = 40. Add 15 + 15 to get the new equation: 30 + width + width = 40. Subtract 30 from both sides now to get: width + width = 10. The two widths, need to be the same number, so we need to find out what double pair makes 10. This lucky number is 5. So the width is 5.
Hope it helps!
Determine the measure of x in the diagram below:
x = °
The measure of angle x on the straight line is 130 degrees.
What is the measure of angle x?The sum of interior angles in a triangle equals 180 degrees.
To determine the value of x, we first determine its suplemetary angle x .
Hence:
40 + 90 + ( suplemetary angle of x ) = 180
Solve for the suplementary angle:
130 + ( suplemetary angle of x ) = 180
Suplementary angle of x = 180 - 130
Suplemetary angle of x = 50 degree
Now, we can find the measure of angle x.
Note that, sum of angles on a straight line equals 180 degree.
Hence:
x + ( suplemetary angle of x ) = 180
x + 50 = 180
Solve for x
x = 180 - 50
x = 130 degrees.
Therefore, the value of x is 130 degrees.
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Kevin has a part time job. he earns £9 an hour. he wants to buy a new bike costing £306. how many hours does Kevin have to work to earn enough to buy it?
Answer:
34
Step-by-step explanation:
306/9=34
You have a flight at 7:30 you have 1 hour and 27 minutes to get ready and 30 minutes to get to the airport what time do you wake up
Answer:
5:33 am
Step-by-step explanation:
You need to be at the airport at 7:30
Subtract 30 minutes for travel
7:30 -30 = 7:00
You need 1 hour and 27 minutes to get ready
Subtract 1 hour
7-1 =6:00 am
Subtract 27 minutes
6:00 am - 27 minutes
5: 60 - 27 ( Remember there are 60 minutes in 1 hour)
5:33 am
You need to get up at 5:33 am
Check
5:33 plus 1 hr 27 minutes = 7:00 am + 30 minutes travel = 7:30 am
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(1.08)^x
Answer:
It represents growth, and the percentage rate of increase is of 8%
Step-by-step explanation:
Exponential equation:
An exponential equation has the following format:
\(A(t) = A(0)(1 + r)^t\)
In which A(0) is the initial amount and r is the rate of change, as a decimal. If positive, it is growth, if negative, it is decay.
In this question:
\(y = 21(1.08)^x\)
So
\(1 + r = 1.08\)
\(r = 0.08\)
Since r is positive, it represents growth, and the percentage rate of increase is of 0.08*100% = 8%
A ruler cost x pence a pen costs 10 pence more than the ruler write an expression in terms of x for the cost of the pen
Answer:
(A ruler) = X (a pen) = Y
y = x+10
Step-by-step explanation:
Answer:
A ruler cost x pence.
Let the cost of the ruler be x pencePen costs 10 pence more than the ruler
Therefore, the pen cost (x+10) pence(x+10) is the right answer.can you help me please
Hence the correct option is to translate down 2 unit
Transformations can be non-rigid (when the preimage's size or shape is unaltered) or stiff (where the size is changed but the shape remains the same). These are the fundamental guidelines that this concept abides by. It is a straightforward approach to alter 2D forms.
Planar transformations and spaces can be distinguished from one another using the dimensions of the operand sets.
We have the parent function f(X)= x
and transformed function is g(x)= -3f(x+5)-2
the parent function f(x) is translated dawn 2 units and stretched by 5 .
Hence the correct option is to translate down 2 unit
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3. If dy = x^2y^2 , then what is d2y/dx2
\(\text{Given that,}\\\\\dfrac{dy}{dx} = x^2 y^2\\\\ \implies \dfrac{d^2 y}{dx^2} = x^2\cdot 2y \dfrac{dy}{dx}+ y^2 \cdot 2x\\\\\implies \dfrac{d^2 y}{dx^2} = x^2 \cdot 2y \cdot x^2 y^2 +2xy^2\\\\\implies \dfrac{d^2 y}{dx^2} =2x^4y^3 + 2xy^2 = 2xy^2(x^3y+1)\)
given n points on a 2d plane. find the maximum number of points which can be covered by a rectangle with length x and breadth y. a point is said to be covered by a recatangle if it lies on the sides or inside the rectangle.
Due tο the 90 degree angle created by the axes at the origin and the measurements at point p, the system is knοwn as being rectangular.
What is Cartesian coordinate system?
A Cartesian coordinate system in a plane is a system of cοordinates that uniquely identifies each pοint by a pair of numerical coordinates. The coordinates (Xp, Yp) shοw where point p is in relation to the origin. Because the angle created by the axes at the οrigin and the angle created by the measurements at point p are bοth 90 degrees, the system is referred tο as rectangular. Thus, the measurement has sides of Xp and Yp, fοrming a rectangle.
These numerical coοrdinates are the signed distances from two fixed perpendicular οriented lines to the point, measured in the same unit of length.
In any case, for any convex polygon (including rectangle) the test is very simple: check each edge of the polygοn, assuming each edge is oriented in cοunterclockwise direction, and test whether the point lies tο the left of the edge (in the left-hand half-plane). If all edges pass the test - the pοint is inside. If at least οne fails - the point is outside.
In order to test whether the point (xp, yp) lies οn the left-hand side οf the edge (x1, y1) - (x2, y2), you just need tο calculate
D = (x2 - x1) * (yp - y1) - (xp - x1) * (y2 - y1)
If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the pοint is on the line.
The previous versiοn of this answer described a seemingly different version οf left-hand side test . But it can be easily shοwn that it calculates the same value.
In order to test whether the point (xp, yp) liesοn the left-hand side of the edge (x1, y1) - (x2, y2), yοu need to build the line equation for the line containing the edge. The equatiοn is as follows
A × x + B × y + C = ∅
where
A = -(y2 - y1)
B = x2 - x1
C = -(A * x1 + B * y1)
Now all you need to dο is to calculate
D = A * xp + B * yp + C
If D > ∅, the pοint is on the left-hand side. If D < ∅, the point is on the right-hand side. If D = ∅, the point is on the line.
However, this test, again, wοrks for any convex polygon, meaning that it might be too generic fοr a rectangle. A rectangle might allow a simpler test... For example, in a rectangle (οr in any other parallelogram) the values of A and B have the same magnitude but different signs for opposing (i.e. parallel) edges, which can be explοited to simplify the test.
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The surface area of this cylinder is
Anna built a prism in the shape of a cube out of wood
The volume of the two prisms compares that the volume of prism B will double.
We are given that side length of the cube measured 18 inches in length. She built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
When the prism is such that if we slice it horizontally at any height smaller or equal to its original height, the cross-section is same as its base, then its volume is:
V = B x h
So, the volume of the two prism A= V = B x h
V = 18 x h = 18h
the volume of the two prism B= V = B x h
V = 18 x 2h = 36h
So, the volume of prism B will double thus the correct option is B.
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The complete question is;
Anna built a prism (Prism A) out of a cube of wood. The side length of the cube measured 18 inches in length. Anna built another prism (Prism B) with the same dimensions as the cube, except she doubled its height.
How does the volume of the two prisms compare?
The volume of prism B will triple.
The volume of prism B will double.
The volume of prism B will decrease.
The volume of prism B will be cut in half.
Hassan thinks of two different positive integers.
Their product is 147, and one number is three times the other number.
What are the two numbers Hassan is thinking of
Answer:
147
Step-by-step explanation:
The number is three times the other number
so 7 and 21
cause 7 x 3 = 21
finally check 21 x 7 = 147
Pablo used a total of 5 3/4 gallons of gas while driving his car. Each hour he was driving, he used 5/6 gallons of gas. What was the total number of hours he was driving? Write your ans
Write 135 as a product of its prime factors. Write your answer in index form need answer quickly URGENT
135 as a product of its prime factors is written as 3 × 3 x 3 x 5
What are prime factors?The prime factors are those prime digits that can divide a particular digit evenly and without leaving any remainder. To put it differently, these are the main digits that, when multiplied with one another, result in the initial number.
In mathematics and number theory, prime factors hold significant value as they enhance comprehension of number properties and interconnections. In addition, they are utilized in a range of mathematical calculations and algorithms.
From the information given, we have the value as;
135
The prime factors are 3 × 3 x 3 x 5
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Sets A, B, and C are subsets of the universal set U. These sets are defined as follows.
U= {f,g,h,p,q,r,x,y,z}
A={f,g,p,q}
B={g,h,q,x,y}
C={p.q.x.y.z}
Find (C ∪ B) ∩ A'.
Write your answer in roster form or as Ø.
Answer:
(C U B )=(q,x,y)
(C U B )n A=q
what is the mode of the following data 1,2,1,1,3,2,2,2
Answer:
2
Step-by-step explanation:
the mode is the one that appears the most, most common one
Answer:
2
Step-by-step explanation:
mode means the most common number in the set.
I hope this helps....
If ✓(x+iy) =a+ib, then find ✓(x-iy) and x^2+y^2.
The values of the complex expressions are ✓(x - iy) = a - ib and x² + y² = (a + ib)²(a - ib)²
Calculating the complex expressionsFrom the question, we have the following parameters that can be used in our computation:
✓(x + iy) = a + ib
Changing the signs, we have
✓(x - iy) = a - ib
Multiply both expressions
This gives
✓(x + iy) * ✓(x - iy) = (a + ib)(a - ib)
Square both sides
So, we have
(x + iy) * (x - iy) = (a + ib)²(a - ib)²
This gives
x² + y² = (a + ib)²(a - ib)²
Hence, the values of ✓(x - iy) is a - ib and x² + y² is (a + ib)²(a - ib)²
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i dont understand this
We can Add 7 black beads to make ratio 3 : 1.
Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.
There are three white beads in the picture.
Total beads we will have (b meaning black)b : 3
Ratio black : white beads 3 : 1
Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.
Find common ratio by dividing total by ratio white beads: 3/1 = 3
Multiply ratio black beads by common ratio. 3 X 3 = 9
We need 9 black beads in total.
Check answer
9 : 3
Both sides divisible by 3; reduce ratio
= 3 : 1
Which is Correct ratio
Hence, There will be a total of 9 black beads, but we already have 2 black beads:
(9 total) - (2 original) = (7 to add)
Therefore , we need to add 7 black beads.
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Can someone help
Me Plis
7 times a larger number added to 8 times a smaller number totals 44. When 2 times the
smaller number is subtracted from 2 times the larger number, the result is 4. What are the
two numbers?
Answer:
The two numbers:
4 and 2
Step-by-step explanation:
7a + 8b = 44 Eq. 1
2a - 2b = 4 Eq. 2
From Eq. 1:
7a = 44 - 8b
a = (44 - 8b) / 7 Eq. 3
From Eq. 2:
2a = 2b + 4
a = (2b+4)/2 Eq. 4
Equalyzing Eq. 3 and Eq. 4:
(44-8b)/7 = (2b+4)/2
2(44-8b) = 7(2b+4)
2*44 + 2*-8b = 7*2b + 7*4
88 - 16b = 14b + 28
88 - 28 = 14b + 16b
60 = 30b
60/30 = b
b = 2
From Eq. 4
a = (2b+4) /2
a = (2*2 + 4) / 2
a = (4+4)/2
a = 4
Check:
From Eq. 1:
7a + 8b = 44
7*4 + 8*2 = 44
28 + 16 = 44
Determine the leading coefficient of the polynomial graphed below.
The leading coefficient of the polynomial is 4.
The leading coefficient of a polynomial, we first need to understand what the leading term of the polynomial is.
The leading term is the term with the highest degree in the polynomial.
For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\(, the leading term is 3x^4.
To determine the leading coefficient of a polynomial, we simply look at the coefficient of the leading term. For example, in the polynomial \(3x^4 + 2x^3 - 5x^2 + 4x - 1\), the leading coefficient is 3.
Now, let's apply this concept to the polynomial graphed below. From the graph, we can see that the polynomial has a degree of 2, meaning that the highest power of x in the polynomial is 2.
Therefore, the leading term of the polynomial is \(ax^2\), where a is the leading coefficient.
The vertex is the point on the graph where the polynomial reaches its maximum or minimum value. In this case, the vertex is located at \((-2, 4)\)
Since the vertex is the highest point on the graph, we know that the coefficient of x^2 must be positive.
In this case, the value of y at the vertex is 4.
Therefore, the leading coefficient of the polynomial is 4.
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PLEASE HELP
Jaleesa has 20$. What are the possible amounts of mushrooms she can buy if they cost $9.99 per pound?
m=____________________
Inequality:___________
Answer:
She can buy two pounds
Step-by-step explanation:
it is 10$ for one pound
you have 20$ so you just se how many times 10$ can
go into 20$ and that 2 so that's your answer. i hope it helped you? ;)
Answer:
m= 2
inequality: 9.99m ≤ 20
Step-by-step explanation:
9.99m ≤ 20
÷9.99 ÷9.99
m ≤ 2.002002
about 2 mushrooms
does the equation y^2-y^2x = 6 describe y as a function of x
The equation y² - y²x = 6 can be describe as a function of x as:
y = √(6/(x - x)).
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
y² - y²x = 6
Taking y² as common.
y²(1 - x) = 6
Divide both sides with (1 - x).
y² = 6/(1 - x)
Square root on both sides.
y = √(6/(x - x))
This is a function of x.
Thus,
y = √(6/(x - x)) is a function of x.
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7
The venue for an outdoor summer concert was divided into 35 sections. The event planner randomly chose 8 sections and counted
the number of ice chests in the section, as shown below.
48, 51, 26, 73, 51, 48, 26,51
Assuming that the sample was representative of the entire venue, what was the mean number of ice chests in a section?
The mean number of ice chests in a section is 46.75.
How do we find the mean number of ice chests?The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..
To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.
Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51
Sum of ice chests = 374
Mean number of ice chests will be:
= (Sum of ice chests) / (Total number of sections sampled)
= 374 / 8
= 46.75
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A bag contains 2 green, 9 brown, 7 yellow, and 4 blue marbles. Once a marble is selected, it is not replaced. Find each probability. a) P(brown, then yellow) = d) P(green, then blue) = = b) P(yellow, then yellow) = e) P(blue, then blue) = c) P(green, then NOT blue)
Answer:
:D.
Step-by-step explanation:
7/22*6/21=42/462=.09=9% chance of a yellow then a yellow selection.
2/22*17/21=34/462=.0736=7.36% chance of green & then not a blue.
Points (-2, 3) and (x, 0) have a slope of 1/5.Find the x coordinate of the point.
Answer:
x = -17
Step-by-step explanation:
y - y1 = m(x - x1)
y - 3 = 1/5(x - (-2))
y - 3 = 1/5(x + 2)
y - 3 = 1/5x + 0.4
y = 1/5x + 0.4 + 3
y = 1/5x + 3.4
Now we plug in y as 0 to find x
y = 1/5x + 3.4
(0) = 1/5x + 3.4
-3.4 = 1/5x + 3.4 - 3.4
-3.4 = 1/5x times 5
-3.4 times 5 = x
-17 = x
Answer:
x = -17 (Verified Answer) ✅Step-by-step explanation:
If we know the slope, we can solve for an unknown coordinate. First, let's review how to calculate slope.
Slope = Rise/Run (Change in y/Change in x)
In this case, we know the slope, so we will write out the slope formula. We will use the substitution method to solve this.
m = rise/run
rise = y2- y1 substituting ----> 3 - 0 = 3
run = x2 - x1 substituting ----> -2 - x = run
Now, we can return to the slope formula, as we now have enough information to solve.
1/5 = 3/R
To solve, we simply need to find the equivalent fraction of 1/5. We will use a proportion.
1R = 5 x 3
R = 15
Now that we know R, we can substitute it into the equation for run.
So, we now have:
15 = -2 - x
Subtracting -2 from both sides, gives us x = -17.
Finally, we must check our answer to make sure we are getting the correct slope when we calculate.
m = (3 - 0)/(-2 - -17)
m = 3/15 OR 1/5
Since. this matches the original slope we were given, we can be sure the answer is correct.
Consider the following quadratic function.
f(x)=–2x²+4x+3
(a) Write the equation in the form f(x)=a (x-h)2 + k. Then give the vertex of its gr
Writing in the form specified: f(x) = 0
:
=
Х
Vertex:
OD
(b) Graph the function. To do this, plot five points on the aranh of the function
Answer:
Step-by-step explanation: