A ratio that can be equivalent to 6:5 is 12:10
![y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5CD%3Db%5E2-4ac%5C%5CD%3D64-4%282%29%28-9%29%5C%5CD%3D64%2B72%20%3E%200)
There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: ![y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2%28x%2B2%29%5E2-17)
Answer:
first number=2
second number=-5
Step-by-step explanation:
first number= a
second number= b
we have the following equations
7a+3b=-1 equation 1
a+b=-3 equation 2
using equation 2 we have
a=-3-b
using equation 1 we have
7(-3-b)+3b=-1
-21-7b+3b=-1
-4b=20
b=-20/4=-5 = second number
a+(-5)=-3
a-5=-3
a=-3+5
a=2= first number
Answer:
The area of a parallelogram is its base times the height. So the height is 48/12 which is 4 AND 8
Step-by-step explanation:
1 because on a number line 7/8 is closer to 1