Answer:
C. 8 units right and 5 units down
Step-by-step explanation:
since it's only a translation, take one point as an example. lets say the bottom right point on trapezoid P is point A, and the translated point on P' is A'. the coordinates of A are (-3,2) while the coordinates of A' are (5,-3). (-3+x,2+y)=(5,-3). -3+x=5, x=8; 2+y=-3, y=-5
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<em>We will assume the tent is in the shape of a triangular prism.</em>
The volume of a triangular prism can be found with the following formula, where 
is the width at the base, 
is the height, and 
is the length.
Substitute in the known values.
Simplify — use multiplication.
Simplify — use division.
The volume — or in this case, the amount of living space — is 
.
Hello There!
To find the mean, add up all the numbers and divide according to how many numbers there are. The mean for this set would be <em>"9"</em>
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To find the median, place the numbers in value order and find the middle. if there is no middle, add up the two numbers in middle and divide by 2. In this set, the median would be <em>"8.5"</em>
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To find the mode or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode. In this set, there would be no mode.
The range of a set of data is the difference between the highest and lowest values in the set. In this set, the range would be <em>"12"</em>
Answer:
y=3x+1
Step-by-step explanation:
Determine slope with two coordinates and use it in the formula
Answer:
The width of the frame is 2 inches
Step-by-step explanation:
The given dimensions of the picture = 7 inches by 7 inches
The area of the picture, A₁ = 7 in. × 7 in. = 49 in.²
The area of the given picture and the frame, A₂ = 81 square inches
Let 'w' represent the width of the frame and whereby the picture is a square, we have;
The area of the picture with the frame, A₂ = 81 in.² = (7 + w) × (7 + w)
A₂ = 81 = (7 + w) × (7 + w) = 49 + 14·w + w²
49 + 14·w + w² - 81 = 0
w² + 14·w - 32 = 0
(x + 16)·(x - 2) = 0
∴ x = -16 or x = 2
Given that 'x' is a natural number, we have;
The width of the frame, x = 2 inches.
