Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
10. acute angles: 0
Right angles: 4
Obtuse angles: 0
Perpendicular lines: 0
Parallel lines: 2
11. Acute angles: 2
Right angles: 0
Obtuse angles: 1
Perpendicular lines: 0
Parallel lines: 0
12. H
Answer:
x = -1
Step-by-step explanation:
-1 + 3 = 2
-(-1) + 1 = 2 or 1 + 1 = 2
The answer is no y varies 8 x varies 2
Answer:
32 hours.
Step-by-step explanation:
Let x represent the time taken by Russell and Aaron to build the shed.
We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.
Russell's work rate would be 
.
Since Aaron works three times as fast as Russel, so Aaron's work rate would be 
.
Part of work done by in one hour would be 
.
We can represent our given information in an equation as:
Let us solve for x.
Therefore, it will take Russell 32 hours to build the shed working alone.
