Answer:
26 in.
Step-by-step explanation:
» <u>Concepts</u>
The perimeter for a shape is the total distance around it measured in units. The formula to find the perimeter of a trapezoid is a + b + c + d, where a & b are the bases, and c & d are the lengths of the other sides.
» <u>Solution</u>
Adding up all the sides, we get:
26 inches
Answer:
The scale factor is 1.5.
Step-by-step explanation:
Divide the length of the image, 12, by the length of the preimage, 8, which will give you 1.5
12 ÷ 8 = 1.5
Therefore, the scale factor of the image is 1.5.
4*(10*12/2)+4*(12*9)+(12*12)= 816 ft^2
the surface area is 816 ft^2.
We want to convert this equation in terms of m, where 
While solving this problem, I instantly noticed the 
in the first term of the equation. Replace that with m.
Simplifying the rest is not as obvious. Using the distributive property, we can change ![[7x^2+21]](https://tex.z-dn.net/?f=%5B7x%5E2%2B21%5D)
to ![[7(x^2+3)]](https://tex.z-dn.net/?f=%5B7%28x%5E2%2B3%29%5D)
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to 
and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D
Answer:
A
Step-by-step explanation:
given the roots of a polynomial, say x = a, x = b and x = c, then
(x - a), (x - b) and (x - c) are it's factors and the polynomial is the product of it's factors.
here the roots are x = 4, x = - 5 and x = 7, hence
(x - 4), (x + 5) and (x - 7) are the factors
f(x) = a(x - 4)(x + 5)(x - 7) ← a is a multiplier
let a = 1 and expand the factors
f(x) = (x² + x - 20)(x - 7)
= x³ + x² - 20x - 7x² - 7x + 140
= x³ - 6x² - 27x + 140 → A
