Answer:
The y-coordinate of their intersection point is 3
That is y=3
Step-by-step explanation:
Given two lines are y=6x+15 and y=mx+4
Given that the two lines intersect at x=-2
To find the y coordinate of their intersection point :
Equating the two lines
6x+15=mx+4
6x+15-mx-4=0
6x-mx+11=0
(6-m)x+11=0
At x=-2 (6-m)x+11=0
(6-m)(-2)+11=0
(6-m)(-2)=-11
![6-m=\frac{11}{2}](https://tex.z-dn.net/?f=6-m%3D%5Cfrac%7B11%7D%7B2%7D)
![-m=\frac{11}{2}-6](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B11%7D%7B2%7D-6)
![-m=\frac{11-12}{2}](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B11-12%7D%7B2%7D)
![-m=\frac{-1}{2}](https://tex.z-dn.net/?f=-m%3D%5Cfrac%7B-1%7D%7B2%7D)
![m=\frac{1}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B2%7D)
Substitute the value
in y=mx+4 we get
![y=\frac{1}{2}x+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7Dx%2B4)
At x=-2 ![y=\frac{1}{2}(-2)+4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D%28-2%29%2B4)
![=-1+4](https://tex.z-dn.net/?f=%3D-1%2B4)
![=3](https://tex.z-dn.net/?f=%3D3)
Therefore y=3
Therefore the y-coordinate of their intersection point is 3
Answer:
35
Step-by-step explanation:
Answer:
It falls to the left and to the right
hope that helped you:)
please mark me brainiest.
Answer:
15
Step-by-step explanation:
Answer:
61.4°
Step-by-step explanation
Given
Length of the ramp = 23ft = hypotenuse
Base of the ramp = 11ft = Adjacent
Required
Angle of elevation x
Using the SOH CAH TOA identity
Cos theta =adj/hyp
Cos x = 11/23
Cos x = 0.4782
x = arccos0.4782
x = 61.42°
Hence the angle of elevation is 61.4°