Answer:
![A=2x^2+3x-5](https://tex.z-dn.net/?f=A%3D2x%5E2%2B3x-5)
Step-by-step explanation:
Given that,
Length = (2x+5) cm
Width = (x-1) cm
We need to find the area of a rectangle. The formula for the area of rectangle is given by :
A = lb
![A=(2x+5)(x-1)\\\\=2x^2-2x+5x-5\\\\=2x^2+3x-5](https://tex.z-dn.net/?f=A%3D%282x%2B5%29%28x-1%29%5C%5C%5C%5C%3D2x%5E2-2x%2B5x-5%5C%5C%5C%5C%3D2x%5E2%2B3x-5)
So, the required area is equal to
.
Answer:
EF , HG , Parallel
Step-by-step explanation:
Here we are given a translated quadrilateral EFGH from Quadrilateral ABCD.
Also given that AB was parallel to DC.
Now we have to fill in the certain blanks.
Here EF is parallel to AB , As EFGH is a translated image of ABCD. And EF and AB are the corresponding sides.
Also HG is parallel to DC, EFGH is a translated image of ABCD.
Also we are given that AB is parallel to DC. Hence we have following results.
AB║DC
AB║EF
Hence CD║EF
also
CD ║HG
CD║EF
Hence we can come to conclusion that
EF║HG
Hence our answer will be
corresponding segments EF and HG are parallel to each other.
Answer:
616
Step-by-step explanation:
The equation to find the area of a trapezoid is: A = ½ (b
+b²) h.
b1=43
b2=45
h=14
Plug the variables in and solve.
![A=\frac{1}{2} (43+45)14](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%2843%2B45%2914)
![A=\frac{1}{2} (88)14](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%2888%2914)
![A=\frac{1}{2} (1232)](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%281232%29)
![A=616](https://tex.z-dn.net/?f=A%3D616)
Answer:
8b
Step-by-step explanation:
The equation for the volume of a cylinder is: pi*r^2*h
Plug in the values and you get:
pi * 3^2 * 6 = 54 pi inches cubed.