Answer:
49x² + 42x + 9
Step-by-step explanation:
Given
(7x + 3)²
= (7x + 3)(7x + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
7x(7x + 3) + 3(7x + 3) ← distribute both parenthesis
= 49x² + 21x + 21x + 9 ← collect like terms
= 49x² + 42x + 9
Answer:
aflse
Step-by-step explanation:
Answer:
-8100
Step-by-step explanation:
(2/5)^-2(-3)^4
Given data
and second term
The first term= (2/5)^-2 and
Second term=(-3)^4
Simplify the first term
(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2
=1/4/ 1/25
=1/4*25/1
=100
Simplify the second term
=(-3)^4
= -81
Hence, 100*81
=-8100
Answer:
Length:8 m
Width:3 m
Step-by-step explanation:
<u><em>The complete question is</em></u>
If the perimeter of a rectangle is 22 meters, and the perimeter of a right triangle is 12 meters (the sides of the triangle are half the length of the rectangle, the width of the rectangle, and the hypotenuse is 5 meters). How do you solve for L and W, the dimensions of the rectangle.
step 1
<em>Perimeter of rectangle</em>
we know that
The perimeter of rectangle is equal to
![P=2(L+W)](https://tex.z-dn.net/?f=P%3D2%28L%2BW%29)
we have
![P=22\ m](https://tex.z-dn.net/?f=P%3D22%5C%20m)
so
![22=2(L+W)](https://tex.z-dn.net/?f=22%3D2%28L%2BW%29)
Simplify
-----> equation A
step 2
Perimeter of triangle
The perimeter of triangle is equal to
![P=\frac{L}{2}+W+5](https://tex.z-dn.net/?f=P%3D%5Cfrac%7BL%7D%7B2%7D%2BW%2B5)
![P=12\ m](https://tex.z-dn.net/?f=P%3D12%5C%20m)
so
![12=\frac{L}{2}+W+5](https://tex.z-dn.net/?f=12%3D%5Cfrac%7BL%7D%7B2%7D%2BW%2B5)
Multiply by 2 both sides
![24=L+2W+10](https://tex.z-dn.net/?f=24%3DL%2B2W%2B10)
----> equation B
Solve the system of equations by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (8,3)
see the attached figure
therefore
The dimensions of the rectangle are
Length:8 m
Width:3 m