Answer:
x⁴ - y⁴= (x²)²- (y²)² = (x² + y²)(x²- y²) = (x²+y²)(x)²-(y)²=(x²+y²)(x+y)(x-y)
49x²-16/25= (7x)²- (4/5)²=(7x+4/5)(7x-4/5)
Answer:
$11.51
Step-by-step explanation: The reason it would be $11.51 is because when you add the 3 dollars and 99 cents along with the 7 dollars and 17 cents, you come up with $11.16 but since the tax is 5% it adds 0.35 cents more, which ends the total cost with $11.51
Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so
![z=\frac{x}{y}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{1}{10}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B10%7D)
![y=40\ units](https://tex.z-dn.net/?f=y%3D40%5C%20units)
substitute
![\frac{1}{10}=\frac{x}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7Bx%7D%7B40%7D)
solve for x
![x=(40)\frac{1}{10}](https://tex.z-dn.net/?f=x%3D%2840%29%5Cfrac%7B1%7D%7B10%7D)
![x=4\ units](https://tex.z-dn.net/?f=x%3D4%5C%20units)
therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF
![z^{2}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B2%7D%3D%5Cfrac%7Bx%7D%7By%7D)
we have
![z=\frac{1}{10}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B1%7D%7B10%7D)
so
![z^2=(\frac{1}{10})^2](https://tex.z-dn.net/?f=z%5E2%3D%28%5Cfrac%7B1%7D%7B10%7D%29%5E2)
![z^2=\frac{1}{100}](https://tex.z-dn.net/?f=z%5E2%3D%5Cfrac%7B1%7D%7B100%7D)
therefore
The ratio of the area of ∆ABC to the area of ∆DEF is ![\frac{1}{100}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B100%7D)
The answer is D.
B = -3
A = 1
In
y = ax + b
Answer: 287
Step-by-step explanation: