The formula to find the slope is m = (y₂ - y₁)/(x₂ - x₁), hence option B is correct and the slope of the line will be -1/2.
What is slope?It is possible to determine a line's direction and steepness by looking at its slope. Finding the slope between lines inside a coordinate plane can aid in anticipating if the lines are perpendicular, parallel, or none at all without physically using a compass.
As per the data mentioned in the question,
1.
The formula to find the slope of the line between two points is,
m = (y₂ - y₁)/(x₂ - x₁)
2.
The given points are,
(-4, 3) and (12, -5)
So, the slope of the line that connects given points,
m = (-5 - 3)/(12+4)
m = -8/16
m = -1/2
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8.4 times 9.3 i need help please
Answer:
the answer is 78.12
Step-by-step explanation:
Answer: 78.12
Step-by-step explanation:
8.4 x 9.3 =
4 x 3 = 12, bring the ones to the tens place
8 x 3 = 24 + 1 = 25
252.
Add a 0 to the ones place.
9 x 4 = 36, add a 6 to the tens place, bring the tens to the hundreds place
9 x 8 = 72 + 3 = 75.
7560 + 252 = 7812.
Since there are two numbers behind the decimal, we put the decimal between the 8 and the 1.
8.4 x 9.3 = 78.12
A collection of 77 quarters and dimes is worth $12.50. How many quarters are in the collection? PLS HELP ILL GIVE YOU BRAINLEST ANSWER
Answer:
32
Step-by-step explanation:
77 quarters and dimes
q + d = 77
subtract q from both sides
d = 77 - q
---------------------------
A collection of quarters and dimes is worth $12.50 (1250 cents)
25q + 10d = 1250
substitute for d
25q + 10(77 - q) = 1250
distribute
25q + 770 - 10q = 1250
Combine like terms
15q + 770 = 1250
subtract 770 from both sides
15q = 480
divide both sides by 15
q = 32
I need help please and thanks
Answer:
68 degrees
Step-by-step explanation:
1 & 6 have to equal 180. Therefore, if 1 is 112 then you take 180-112. Then you get 68 degrees.
Answer:
Angle 6 would be 68 degrees
Step-by-step explanation:
Angles 1, 3, 5, and 7 all equal 112. you would subtract 112 from 180 to get the measurement for angles 2, 4, 6, and 8
We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?
A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated
By answering the presented question, we may conclude that In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
what is a square?According to Euclidean geometry, a square is an equilateral quadrilateral having four equal sides and four equal angles. It is often referred to as a rectangle with two nearby sides of equal length. A square is an equilateral quadrilateral because it has four equal sides and four equal angles. Square angles are 90-degree or straight angles. Also, the diagonals of the square are evenly spaced and divide at a 90-degree angle. an adjacent rectangle with two equal sides. a quadrilateral with four equal-length sides and four right angles. A parallelogram with two adjacent, equal sides forming a right angle. A rhombus with straight sides.
To determine the answer, multiply the areas of the shaded squares by the overall area of the figure.
Assuming that both squares are the same size, we may combine the fractions using a common denominator:
2/12 + 2/15 = 5/60 + 4/60 = 9/60 = 3/20
As a result, the entire shaded area is 3/20 of the total area of the diagram.
We can't discover the exact area of the graphic because it's not presented. As a result, we can only represent the answer in fractions or decimals.
In decimal form, the answer is 0.15, which is close to option A, 0.148. As a result, the answer is A. 0.148.
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at the end of the day, oranges at a farm market sell for $2.25 per pound and baskets cost $4.00. if serena wants to buy a basket and spend at most $22 total, how many pounds of oranges can she buy
Answer:
So if im entirely correct you said
Step-by-step explanation:
deeznutz
Will give brainliest answer
Answer:
See attached
Step-by-step explanation:
Refer to attached
Point B has coordinates of (8, 12) relevant to point P
Scale factor is 1/4So the coordinates of the image are
x = 8/4=2, y= 12/4=3The point is
B'(2, 3)Molly and Memo combined ate 12 pieces of the wedding cake. Molly ate 4 pieces of cake and Memo had 1/4 of the total cake.
Answer: 36 Pieces In The Entire Cake
Step-by-step explanation: Memo had 1/4 pieces of the total cake, so that means that there were four times the value of what Memo ate in the cake, plus what Molly ate. 12 - 4 = 8, 8 times 4 is 32, and 32 plus 4 (what Molly ate) is 36. Hope that helped!
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
Eleven times the sum of a number and ten is 242. What is the number?
PLS HELP!!!
Solve.
2x-y+2z=-6
-3y+z=-2
2x-3z+4
The solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
How to solve the system of equations?The system of equations is given as
2x - y + 2z = -6
-3y + z = -2
2x - 3z = -4
Subtract 2x - 3z = -4 from 2x - y + 2z = -6
This is represented as
(2x - y + 2z = -6) - (2x - 3z = -4)
This gives
- y + 5z = -2
Multiply - y + 5z = -2 by 3
-3y + 15z = -6
Subtract -3y + 15z = -6 from -3y + z = -2
This is represented as
(-3y + z = -2) - (-3y + 15z = -6)
This gives
-14z = 4
Divide by -14
z = -2/7
Substitute z = -2/7 in - y + 5z = -2
- y - 5 * 2/7 = -2
This gives
- y - 10/7 = -2
Rewrite as:
y = 2 - 10/7
Evaluate
y = 4/7
Substitute z = -2/7 in 2x - 3z = -4
2x - 3 * 4/7 = -4
This gives
2x - 12/7 = -4
So, we have:
2x = 12/7 - 4
Evaluate
2x = -16/7
Divide by 2
x = -8/7
Hence, the solution to the system of equations is x = -8/7, y = 4/7 and z = -2/7
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Question 9 A cylindrical beaker with a base radius of 3 inches and a height of 11 Inches weighs 3.5 ounces when empty. The beaker is filled with water to one inch from the top. If one cubic Inch of water weighs 0.6 ounce, how many ounces does the beaker weigh, including the weight of the cylindrical beaker? Explain how you found your answer. Round to the nearest tenth.
The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.
First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.
The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.
\(V = \pi (3^2)(10) = 90\pi\) cubic inches
Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.
Weight of water = 90π x 0.6 = 54π ounces
Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.
Weight of beaker with water = 54π + 3.5 ounces
To find the approximate value, we can use the value of π as 3.14.
Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces
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a typist types 1700 words in 1 hour and 30 minute. calculate the rate at which the typist works in words per minute
Solution:
Note that:
Typist = 1700 words = 1 hour 30 minutesSimplify the equation to find the word per minute.
=> 1700 words = 1 hour 30 minutes=> 1700 words = 90 minutes=> 170/9 words = 1 minuteThe word per minute is 170/9 words per minute.
Typist = \(1700\)
words = 1 hour \(30\) minutes
Lets, find the word per minute :
\(1700\) words = \(1hour 30\) minutes
\(1700\) words = \(90\) minutes
\(\frac{170}{9}\) words = \(1\) minute
The word per minute is \(\frac{170}{9}\) words per minute.
Find the maximum value of s = xy + yz + xz where x+y+z=9.
From the constraint, we have
\(x+y+z=9 \implies z = 9-x-y\)
so that \(s\) depends only on \(x,y\).
\(s = g(x,y) = xy + y(9-x-y) + x(9-x-y) = 9y - y^2 + 9x - x^2 - xy\)
Find the critical points of \(g\).
\(\dfrac{\partial g}{\partial x} = 9 - 2x - y = 0 \implies 2x + y = 9\)
\(\dfrac{\partial g}{\partial y} = 9 - 2y - x = 0\)
Using the given constraint again, we have the condition
\(x+y+z = 2x+y \implies x=z\)
so that
\(x = 9 - x - y \implies y = 9 - 2x\)
and \(s\) depends only on \(x\).
\(s = h(x) = 9(9-2x) - (9-2x)^2 + 9x - x^2 - x(9-2x) = 18x - 3x^2\)
Find the critical points of \(h\).
\(\dfrac{dh}{dx} = 18 - 6x = 0 \implies x=3\)
It follows that \(y = 9-2\cdot3 = 3\) and \(z=3\), so the only critical point of \(s\) is at (3, 3, 3).
Differentiate \(h\) again and check the sign of the second derivative at the critical point.
\(\dfrac{d^2h}{dx^2} = -6 < 0\)
for all \(x\), which indicates a maximum.
We find that
\(\max\left\{xy+yz+xz \mid x+y+z=9\right\} = \boxed{27} \text{ at } (x,y,z) = (3,3,3)\)
The second derivative at the critical point exists
\($\frac{d^{2} h}{d x^{2}}=-6 < 0\) for all x, which suggests a maximum.
How to find the maximum value?Given, the constraint, we have
x + y + z = 9
⇒ z = 9 - x - y
Let s depend only on x, y.
s = g(x, y)
= xy + y(9 - x - y) + x(9 - x - y)
= 9y - y² + 9x - x² - xy
To estimate the critical points of g.
\($&\frac{\partial g}{\partial x}\) = 9 - 2x - y = 0
\($&\frac{\partial g}{\partial y}\) = 9 - 2y - x = 0
Utilizing the given constraint again,
x + y + z = 2x + y
⇒ x = z
x = 9 - x - y
⇒ y = 9 - 2x, and s depends only on x.
s = h(x) = 9(9 - 2x) - (9 - 2x)² + 9x - x² - x(9 - 2x) = 18x - 3x²
To estimate the critical points of h.
\($\frac{d h}{d x}=18-6 x=0\)
⇒ x = 3
It pursues that y = 9 - 2 \(*\) 3 = 3 and z = 3, so the only critical point of s exists at (3, 3, 3).
Differentiate h again and review the sign of the second derivative at the critical point.
\($\frac{d^{2} h}{d x^{2}}=-6 < 0\)
for all x, which suggests a maximum.
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PLEASE HELP!!! Mates spent $15.00 on protein bars and sports drinks. each bar cost $3.00 and each sports drink cost $1.50. which equation represents the number of protein bars, p, and the number of sports drinks, s, Matea could have bought
Answer:
15=3s+1.5p
Step-by-step explanation:
can i please get brainliest?
Answer:
15=3s+1.5p
Step-by-step explanation:
15(total money spent)
3s s=amount of bars
1.5p p= amount of sports drinks
2x + 3x/4 = 11
Please solve I am doing it for homework :)
Answer:
x = 4
Step-by-step explanation:
Solving inequality #4
25 points!!
Answer:
-5 <= x < 3
Step-by-step explanation:
The left end of the inequality is -5 with a closed circle so it has an equal sign with it
The right end of the inequality is 3 with an open circle so it will not have an equals sign.
The line is in the middle of the points so the variable is in the middle.
-5 <= x < 3
Answer:
The inequality shown is Interval Notation\( - 5 \leqslant y < 3\)
3. Observe this Input/Output table. Which rule describes the function? Please help
Answer: n^2
Step-by-step explanation:
The output for each input matches the function.
3²=9
5²=25
7²=49
Wheel Fun offers rentals of paddle boats that can be enjoyed by 2 or 3 riders. The price for renting a paddle boat is $15 for each hour. Customers must also pay a $20 deposit on the rental. Write an equation that can be used to determine the price, y for renting a paddle boat for x, hours?
Answer:
15+20=35+15 And then add an additional plus 15 for each hour
Step-by-step explanation:
if you needed $5000 dollars but could only get $300 a month how many months would it take
Answer:16
Step-by-step explanation:
2 log5 x=log5 4+log5 9
The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.
To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.
Using the properties of logarithms, we can rewrite the equation as follows:
2 log₅ x = log₅ (4 * 9)
Next, we simplify the right side:
2 log₅ x = log₅ (36)
Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:
x² = 36
Taking the square root of both sides, we get:
x = √36
Since the square root of 36 can be either positive or negative, we have two possible solutions:
x = 6
It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.
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The total cost of the snow cones, t, depends on the number of snow cones ordered, s. The relationship is shown in the table.
Number of
Snow Cones Total Cost
(dollars)
2 6
4 12
5 15
Which equation can be used to calculate the total cost, t, of s snow cones?
The equation will be t = 3s where t is total cost and s is number of snow cones. this can be find out be relationship of number of snow cones and total cost in table .
In given table :
Number of snow cones Total cost
2 6
6 12
5 15
From above table, we can relate
1st case :
number of snow cones = 2 and total cost = 6
i.e. 3 times of number of cones.
2nd case:
number of cones = 4 and total cost = 12
i.e. 3 times the number of cones.
3rd case :
number of cones = 5 and total cost = 15
i.e. 3 times the number of cones.
So, we see same pattern is repeated in all.
Then equation will be t = 3s where t = total cost , s = number of snow cones.
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What is the definition of perpendicular lines?
1.two lines that intersect in a way that forms right angles
2.two lines that intersect in a way that cuts both lines in half
3.two lines that intersect in a way that they share more than one common point
4.two lines that intersect in a way that forms two congruent angles
Answer:
Step-by-step explanation:
The correct definition of perpendicular lines is option 1: "Two lines that intersect in a way that forms right angles."
When two lines intersect to form four right angles (90-degree angles), they are said to be perpendicular to each other. The point at which the lines intersect is called the point of intersection.
Therefore, option 1 is the correct definitation of perpendicular lines.
Answer: 1. Two lines that intersect in a way that forms right angles.
Step-by-step explanation:
Hope this helped! :)
3 lines are shown. A line with points M, H, K intersects a line with points J, H, L at point H. A line extends from point H to point P between angle K H J. Angle M H L is 140 degrees and angle K H P is 20 degrees.
What is mAnglePHJ?
100°
120°
140°
160°
Answer:
120
Step-by-step explanation:
Given:
3 Lines
A line with points M, H, K intersects a line with points J, H, L at point H.
A line extends from point H to point P between angle K H J.
Angle M H L is 140 degrees and angle K H P is 20 degrees.
Solve:
Since, Angle M H L is 140 degrees and angle K H P is 20 degrees.
Then 140 - 20 = 120
Answer is 120
~Lenvy~
Jullian has to read 4 articles for school. He has 8 nights to read them. He decides to read the same number of articles each night. How many articles will he have to read each night?
Answer:
half of article a night
How many solutions does each system have?
y = 2x + 4
y = 2x - 12
-x + 3y = 8
2x - 6y = -16
1. One solution
2. No solutions
3. Infinitely many solutions
Answer:
The system y = 2x + 4 and y = 2x - 12 has no solution because the lines y = 2x + 4 and y = 2x - 12 are parallel and never intersect.
The system -x + 3y = 8 and 2x - 6y = -16 has one solution. To find the solution, we can solve for x or y in one equation and substitute into the other equation. For example, we can solve -x + 3y = 8 for x to get x = 3y - 8, and then substitute into 2x - 6y = -16 to get 2(3y - 8) - 6y = -16. Simplifying this equation gives y = 4, and substituting y = 4 into x = 3y - 8 gives x = 4.
The system x + 2y = 6 and 2x + 4y = 12 has infinitely many solutions. To see why, notice that the second equation is a multiple of the first equation. Specifically, we can multiply the first equation by 2 to get 2x + 4y = 12, which is identical to the second equation. Therefore, any point that satisfies the first equation will also satisfy the second equation. In geometric terms, the two equations represent the same line, so there are infinitely many points that satisfy both equations.
can someone help answer this and explain how you did it
Answer:
2
Step-by-step explanation:
You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.
Slope of a lineThe slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.
slope = rise/run = 2/1 = 2
The slope of DC is 2.
<95141404393>
Thanks for reposting the pertinent question:
Therefore the SLOPE of DC:
DC = 2
Step-by-step explanation: Cheers to the person who has explained and answered the question correctly as well.Make a Plan: FORMULA FOR SLOPE OF A LINE: m = rise/run = y1 - y2 / x2 - x1POINTS: D, C, B, and A are COLLINEAR
Now, We can FIND That:SLOPE of: DC is Equal (=) To the SLOPE of: AB
So, Now, The SLOPE of AB:AB = 2/1 = 2
Now, we conclude that:Therefore the SLOPE of DC:
DC = 2
I hope this helps you!
A quarterback completes 44% of his passes. Show all work.
a. Construct a probability distribution table (out to n = 6) for the number of passes attempted before the quarterback has a completion?
b. What is the probability that the quarterback throws 3 incomplete passes before he has a completion?
c. How many passes can the quarterback expect to throw before he completes a pass?
d. Determine the probability that it takes more than 5 attempts before he completes a pass.
e. If he throws 8 passes on the opening drive, what is the probability that he made at least half of them?
a.The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. the probability is 0.1399.
c. the quarterback can expect to throw about 2.27 passes before completing one.
d. the probability is 0.1865.
e. the probability is 0.7349.
what is probability?The possibility or chance of an event occurring is measured by probability. The expression is given as a number between 0 and 1, with 0 denoting impossibility and 1 denoting certainty. Compared to occurrences with a probability closer to 0, those with a probability closer to 1 are more likely to occur.
a. To construct a probability distribution table for the number of passes attempted before the quarterback has a completion, we can use the geometric probability distribution, which is given by:
P(X=k) = \((1-p)^{k-1}\)×p
where X is the number of attempts before the completion, p is the probability of completion on each attempt, and k is the number of attempts.
The probability distribution table for the first six attempts is shown below:
X P(X=k)
1 0.44
2 0.56 ×0.44
3 0.56²×0.44
4 0.56³ × 0.44
5 0.56⁴ ×0.44
6 0.56⁵×0.44
b. The probability that the quarterback throws 3 incomplete passes before he has a completion is given by:
P(X=3) = (1-0.44)³⁻¹× 0.44 × (1-0.44)⁰
= 0.56²×0.44
= 0.1399
Therefore, the probability is 0.1399.
c. The expected number of passes that the quarterback can throw before he completes a pass is given by the formula:
E(X) = 1/p
where p is the probability of completion on each attempt.
In this case, p = 0.44, so the expected number of passes is:
E(X) = 1/0.44
= 2.27
Therefore, the quarterback can expect to throw about 2.27 passes before completing one.
d. The probability that it takes more than 5 attempts before the quarterback completes a pass is given by:
P(X > 5) = 1 - P(X <= 5)
= 1 - [P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)]
= 1 - [0.44 + (0.56 × 0.44) + (0.56² ×0.44) + (0.56³ × 0.44) + (0.56⁴×0.44)]
= 0.1865
Therefore, the probability is 0.1865.
e. If the quarterback throws 8 passes on the opening drive, the probability that he completes at least half of them is given by the binomial probability distribution, which is given by:
P(X ≥ 4) = 1 - P(X < 4)
where X is the number of completed passes and the probability of completion on each attempt is p = 0.44.
Using the binomial probability distribution table or calculator, we can find:
P(X≥4) = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.56⁸ + (8× 0.56⁷×0.44) + (28 × 0.56⁶ × 0.44²) + (56× 0.56⁵×0.44³)]
= 0.7349
Therefore, the probability is 0.7349.
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given that log 8=0.931,log9=0.9542.fimd the value of log60
9514 1404 393
Answer:
log(60) = 1.7781
Step-by-step explanation:
60 = 3·2·10 = (√9)(∛8)(10)
log(60) = (1/2)log(9) +(1/3)log(8) +1 = 0.9542/2 +0.9031/3 +1
log(60) ≈ 1.7781 . . . . accurate in all digits shown
_____
It appears that the problem statement has a missing digit in the log of 8. It is actually about 0.9031, so that is the value we used above.
Which number line shows Point A at −2, Point B at 3.5, Point C at − 3 and 1 over 2 , and point D, which is the opposite of point A?
Answer:
C, the third answer choice should be it.
Step-by-step explanation:
AVID class is having a bake sale, and they are selling cookies and cake to raise money for a field trip. A bag of
cookies costs $3 and a slice of cake costs $5. The class wants to raise $900.
The situation can be represented by expression 3x + 5y = 900
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the number of cookies and y represent the number of cake slice.
The class wants to raise $900.Hence:
3x + 5y = 900
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