Answer:
y = -1/3x + 2
Step-by-step explanation:
The slopes of perpendicular lines are negative reciprocals.
The line y = 3x - 2 has slope 3.
The perpendicular line has slope -1/3.
Now we find the equation of the line that has slope -1/3 and passes through (-9, 5).
y = mx + b
y = -1/3x + b
5 = (-1/3)(-9) + b
5 = 3 + b
b = 2
The equation of the perpendicular is
y = -1/3x + 2
What Does The Scale Look Like?
Answer:
(x-7)² + (y+1)² = 4² or (x-7)² + (y+1)² =16
Step-by-step explanation:
1) coordinates of the center
x0=(x1+x2)/2=(7+7)/2=7
y0=(y1+y1)/2=(3-5)/2 = -1
(7, -1) - coordinates of the center
2) radius of the circle
length of the diameter =√((x2-x1)²+(y2-y1)²)=√((7-7)²+(-5-3)²)=√(8)²= 8
r = length of the radius = length of the diameter / 2 = 8/2 = 4
3) the equation of the circle
(x-x0)² + (y-y0)²= r²
(x-7)² + (y+1)² = 4²=16
Take two points to find the slope
Let;s take (1, -3) and (-3, -1)
Point slope formula is
m =

or
y₂-y₁ = m×(x₂-x₁) Which is the same thing
m =

=
It can be simplified:
=

Now we found the slope
Same formula:
y₂-y₁ = m × (x₂-x₁)
Substitute the point only (1, -3)
y₂-(-3) =

× (x₂-1)
y₂ + 3 =

× (x₂ - 1) (minus minus = plus)
The last option is the answer
Volume of sphere = 4/3πr³
r is radius.
Radius = diameter/2 = 16/2 = 8
Volume = 4/3(3.14)(8)³
Volume = 2143.57
Rounded to nearest tenth would be 2144.7 in³
The answer is D.
Hope this helps :)