Answer: Third option.
Step-by-step explanation:
By definition, the slope of a line can be calculated with the following formula:

Since you need to solve for
to find an equivalent expression, you can apply these steps:
1. You must multiply both sides of the equation by
:

2. Finally, you must add
to both sides of the equation:

Answer:
-3
Step-by-step explanation:
-5 = -8 - (- 3)
Answer:
3
Step-by-step explanation:
AB = 1 unit
A'B' = 3 units
The scale of dilation = A'B'/AB
Therefore:
scale of dilation = 3 units / 1 unit = 3
This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.
The formula for the volume of a pyramid is (1/3)area of the base x height.
And the questions gives us all the information we need! All we need to do is plug in the values.
V = 1/3 b x h
V = 1/3 x 625 x 30
V = 10 x 625
V = 6250 cubic meters
Hope this helps!
Answer:
y = -3/2x + 2
Step-by-step explanation:
slope-line equation : y = mx + b
slope is -3/2
Let's find the y-intercept using (6, -7)
y = mx + b
-7 = -3/2(6) + b
-7 = -18/2 + b
-7 = -9 + b
+9 +9
-----------------------
2 = b
So, y = -3/2x + 2 is your equation.