Answer:
y = -6/5x - 3
Step-by-step explanation:
Point Slope Form: (y - y1) = m(x - x1)
<u>Step 1: Find Slope</u>
m = 
m = 
m = 
m = 
m = 
<u>Step 2: Plug into Point Slope Form</u>
(y - (-3)) = -6/5(x - 0)
y + 3 - 3 = -6/5x - 3
y = -6/5x - 3
Answer: y = -6/5x - 3
(-6,-4)
If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))
Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

This would be the y coordinate of F:

Thus the coordinates of F is (-6,-4)
The solution is D.
By plugging the x value, 5, into the equation:
6*5=30
30+1=31
y=31
the x value is 5 and the y value is 31
(5, 31)
hope that helps!
Answer:
The height of the equilateral triangle is 
Step-by-step explanation:
we know that
An equilateral triangle has three congruent sides, and three congruent angles that each measure 60 degrees
To find out the height of an equilateral triangle, apply the Pythagoras Theorem in the right triangle ABD
Remember that the height of an equilateral triangle bisects the base.
see the attached figure to better understand the problem

substitute the given values

Solve for BD




simplify
`
therefore
The height of the equilateral triangle is 
F(x)=-2x^3-5
f(-2)=2(-2)^3-5
f(-2) = 2(-8)-5
f(-2)= -16-5
f(-2)=-21
(-2,-21)
g(x)=-3x+2
g(7)=-3(7)+2
g(7)=-21+2
g(7)=-19
(7,-19)