Answer:
a. x² + 10x + 25
Step-by-step explanation:
because
(x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
so, it is a perfect square of (x + 5).
Answer:
b should be it.
Step-by-step explanation:
Answer:
The area of the trapezoid is 57.5 square inches
Step-by-step explanation:
we know that
The trapezoid QRST can be divided into a rectangle QRDT and an isosceles right triangle RSD
see the attached figure to better understand the problem
step 1
The area of rectangle is given by the formula
![A=((QR)(RD)](https://tex.z-dn.net/?f=A%3D%28%28QR%29%28RD%29)
we have
----> altitude
![QR=9\ in](https://tex.z-dn.net/?f=QR%3D9%5C%20in)
substitute
![A=((9)(5)=45\ in^2](https://tex.z-dn.net/?f=A%3D%28%289%29%285%29%3D45%5C%20in%5E2)
step 2
Find the area of the isosceles right triangle
The area of triangle is given by the formula
![A=\frac{1}{2}(RD)(DS)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%28RD%29%28DS%29)
we have
---> because is an isosceles triangle
substitute
![A=\frac{1}{2}(5)(5)=12.5\ in^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%285%29%285%29%3D12.5%5C%20in%5E2)
step 3
Adds the areas
![A=45+12.5=57.5\ in^2](https://tex.z-dn.net/?f=A%3D45%2B12.5%3D57.5%5C%20in%5E2)