to find the point, find the location
realize that the shortest line that crosses through the origin and y=9x+8 is perpendicular to y=9x+8
perpendicular lines have slopes that multiply to get -1
y=9x+8 has a slope of 9
9*m=-1, m=-1/9
the slope of the mystery line is -1/9
since it passes through the origin, the y intercept is 0
y=(-1/9)x is the equation of the line from the point to the origin
find the intersection of this line and the original line
set them equal to each other
(-1/9)x=9x+8
multily both sides by 9
-x=81x+72
minus 81 both sides
-82x=72
divide both sides by -82
x=-36/41
find y
y=(-1/9)x
y=(-1/9)(-36/41)
y=4/41
the point is 
It's too blurry take another picture
Answer: D.
Step-by-step explanation:
X+6
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
Answer:
x= 27
Step-by-step explanation:
Move <u>constant</u> to the right-hand side and change its sign.
= 2+6
Add the numbers.
= 8
Square both sides of the equation.
2x+10= 64
Move the <u>constant</u> to the right-hand side and change its sign.
2x= 64-10
Subtract the numbers.
2x= 54
Divide both sides of the equation by 2.
x= 27
