The area is 32 because l x w is the formula of area, and 8 x 4 = 32.
Answer:
x = 15
Step-by-step explanation:
Corresponding sides have the same ratio:
UV/PR = TV/QR
(x +6)/14 = (x -3)/8
4(x +6) = 7(x -3) . . . . . . multiply by 56
4x +24 = 7x -21 . . . . . . eliminate parentheses
45 = 3x . . . . . . . . . . . add 21-4x
15 = x . . . . . . . . . . . .divide by 3
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<em>Alternate solution</em>
The long-side : short-side ratios for the two triangles are ...
14 : 8 = (x +6) : (x -3)
If we look at the differences between the ratio numbers we see ...
14 -8 = 6
(x +6) -(x -3) = 9
That is, the numbers in the second ratio must be 9/6 = 3/2 times the numbers in the first ratio. In other words, ...
x -3 = (3/2)(8) = 12
x = 15
<em>Check</em>: x +6 = 3/2(14) ; 15 +6 = 21
So, x^2 = 48/3;
x^2 = 16;
x = +4 or x = -4;
Answer:
x = -2, y= 3
Step-by-step explanation:
y = 4x + 11
y = -2x - 1
Because both equations are equal to y, we can set them equal to each other
4x + 11 = -2x - 1
Add 2x to each side
4x+2x +11 = -2x+2x -1
6x +11 = -1
Subtract 11 from each side
6x+11-11=-1-11
6x = -12
Divide each side by 6
6x/6 = -12/6
x = -2
Now we need to find y
y = -2x-1
y = -2(-2)-1
=4-1
=3
Answer:
She has to buy 48 inches of ribbon
Step-by-step explanation:
We know that the pillow is a square with an area of 144. This means that all the side lengths must be the same. If we take the square root of 144 we get 12 which is the length of one side of the square. Because there are four sides to a square, we multiply this by 4. So 12 x 4 = 48 inches of ribbon.
