Answer:
a=q+f
Step-by-step explanation:
1. a-f=q
2. you need to do the opposite of -f which is +f to cancel it out
after that you need to do the +f to the q
Hope this helps
Answer:
![25x+10y+18=0](https://tex.z-dn.net/?f=25x%2B10y%2B18%3D0)
Step-by-step explanation:
We are given that a rectangle in which the equation of one side is given by
![2x-5y=9](https://tex.z-dn.net/?f=2x-5y%3D9)
We have to find the equation of another side of the rectangle.
We know that the adjacent sides of rectangle are perpendicular to each other.
Differentiate the given equation w.r.t.x
(
)
![5\frac{dy}{dx}=2](https://tex.z-dn.net/?f=5%5Cfrac%7Bdy%7D%7Bdx%7D%3D2)
![\frac{dy}{dx}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%3D%5Cfrac%7B2%7D%7B5%7D)
Slope of the given side=![m_1=\frac{2}{5}](https://tex.z-dn.net/?f=m_1%3D%5Cfrac%7B2%7D%7B5%7D)
When two lines are perpendicular then
Slope of one line=![-\frac{1}{Slope\;of\;another\;line}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7BSlope%5C%3Bof%5C%3Banother%5C%3Bline%7D)
Slope of another side=![-\frac{5}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B5%7D%7B2%7D)
Substitute x=0 in given equation
![2(0)-5y=9](https://tex.z-dn.net/?f=2%280%29-5y%3D9)
![-5y=9](https://tex.z-dn.net/?f=-5y%3D9)
![y=-\frac{9}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B9%7D%7B5%7D)
The equation of given side is passing through the point (
.
The equation of line passing through the point
with slope m is given by
![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Substitute the values then we get
![y+\frac{9}{5}=-\frac{5}{2}(x-0)=-\frac{5}{2}x](https://tex.z-dn.net/?f=y%2B%5Cfrac%7B9%7D%7B5%7D%3D-%5Cfrac%7B5%7D%7B2%7D%28x-0%29%3D-%5Cfrac%7B5%7D%7B2%7Dx)
![y=-\frac{5}{2}x-\frac{9}{5}](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B5%7D%7B2%7Dx-%5Cfrac%7B9%7D%7B5%7D)
![y=\frac{-25x-18}{10}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B-25x-18%7D%7B10%7D)
![10y=-25x-18](https://tex.z-dn.net/?f=10y%3D-25x-18)
![25x+10y+18=0](https://tex.z-dn.net/?f=25x%2B10y%2B18%3D0)
Hence, the equation of another side of rectangle is given by
![25x+10y+18=0](https://tex.z-dn.net/?f=25x%2B10y%2B18%3D0)
Answer:
(x-2)(x-5)
Step-by-step explanation:
Find two numbers that when they multiply, you get the third term,
which is 10 in this problem. And when they add up, you get the second term,
which is -7 in this problem.
5y^2-2y-7=0
Product(x)= -35
Addition(+)= -2
~=5 and -7
5y^2+5y-7y-7=0
5y(y+1)-7(y+1)=0
(5y-7) (y+1)