As we can see point E is between RT.
So we can write RE + ET = RT
As given RE = 4x+7 , ET = 2(3x - 4) and RT = 43.
So
![4x+7 + 2(3x - 4) = 43](https://tex.z-dn.net/?f=4x%2B7%20%2B%202%283x%20-%204%29%20%3D%2043)
![4x + 7 + 6x - 8 = 43](https://tex.z-dn.net/?f=4x%20%2B%207%20%2B%206x%20-%208%20%3D%2043)
![10x - 1 = 43](https://tex.z-dn.net/?f=10x%20-%201%20%3D%2043)
![10x = 43 + 1](https://tex.z-dn.net/?f=10x%20%3D%2043%20%2B%201)
![10x = 44](https://tex.z-dn.net/?f=10x%20%3D%2044)
![x = \frac{44}{10} = 4.4](https://tex.z-dn.net/?f=x%20%3D%20%20%5Cfrac%7B44%7D%7B10%7D%20%3D%204.4%20)
So RE = 4*(4.4) + 7 = 17.6 + 7 = 24.6
40yd for house and 8yd for pool
t is of interest to find the equations of the tangent to x^2+y^2=10 at (a,b) where the point is on the curve.
Taking the derivative, 2+2′=0⇒′=− , and so the slope of the tangents are =− .
The equation of the tangent looks like
=−+⇒=−2+⇒=2+2=10
The equation becomes, +=10 .
Now use this formula.
Answer:
Point-slope form: y-4=2(x+1)
Slope intercept form: y=2x+6
I hope this helps!
Answer:
C
Step-by-step explanation: