Answer:
Correct choice is B
Step-by-step explanation:
Let a, b, c and d be the trapezoid's sides lengths.
The perimeter of the trapezoid is the sum of all sides lengths, thus,
If each side length is increased by a factor 7, then new sides have lengths 7a, 7b, 7c and 7d. The perimeter of new trapezoid is
Use the distributive property for this expression:
Since 
then
Solution: 7.5 Degrees per hour
Reasoning: 15/2 is equal to 7 1/2 or 7.5
Answer:
x² + 2x - 48
Step-by-step explanation:
( x + 8 ) ( x - 6 )
= x ( x - 6 ) + 8 ( x - 6 )
= x*x - 6*x + 8*x + 8*( - 6 )
= x² - 6x + 8x - 48
= x² + 2x - 48
If the shape on the red image is scaled to the shape on the blue image, the scale factor is 0.2777.
Explanation:
- The original shape's base in the red image is measured. The base of the red image is measured to be 9 units. Now we measure the same side of the blue image. The base of the blue image is measured to be 2.5 units. So after scaling, the length of the painting will be 2.5 units.
- To calculate the scale factor, we divide the measurement after scaling by the same measurement before scaling. In this case, it is the base of both images. So The scale factor =
= 
= 0.2777. - So the red image is dilated by a scale factor of 0.2777 to produce the blue image.
Answer:
![r= [(\frac{A}{2500}) ^\frac{1}{2} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7B2500%7D%29%20%5E%5Cfrac%7B1%7D%7B2%7D%20-1%5D)
Step-by-step explanation:
Given data
Principal = $2500
time t= 2 years
Required
the rate r
Given the expression for the balance 2500(1+r)^2
Hence
we can make r subject of formula
![r= [(\frac{A}{P}) ^\frac{1}{t} -1]](https://tex.z-dn.net/?f=r%3D%20%5B%28%5Cfrac%7BA%7D%7BP%7D%29%20%5E%5Cfrac%7B1%7D%7Bt%7D%20-1%5D)
Hence, for any value of A, we can find the rate using the expression above
