Answer:
y = -5x - 2
Step-by-step explanation:
equation formula: y = mx + c
m = -5
-12 = -5(2) + c
c = -2
⇒ y = -5x - 2
Answer:
(1, - 6 )
Step-by-step explanation:
Given the 2 equations
y = x - 7 → (1)
y = - 4x - 2 → (2)
Substitute y = x - 7 into (2)
x - 7 = - 4x - 2 ( add 4x to both sides )
5x - 7 = - 2 ( add 7 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 into (1)
y = 1 - 7 = - 6
Solution is (1, - 6 )
Answer:
1024pi/3
Step-by-step explanation:
to find the volume of a sphere you use the equation 4/3*pi*r^3
4/3*pi*8^3
4/3*pi*512
2048/3 pi
This is the volume of the whole sphere but we only need half so we can just divide by 2.
(2048/3 pi)/2
1024/3 pi
Answer:
6
Step-by-step explanation:
Answer:
The larger of the two angles is x, which is 75. y is the smaller angle at 15.
Step-by-step explanation:
In order to find these, we can use our solved value for y in the second equation to plug into the first equation. This method is called substitution.
x + y = 90
x + (1/5x) = 90
1.2x = 90
x = 75
Now we can plug that value into either equation to find y
y = 1/5x
y = 1/5(75)
y = 15