Answer:
1. -2/5
2. 5/2
3. -2/3x-5/3
Step-by-step explanation:
1. Parallel means the slope stays the same
2. Perpendicular means you flip the sign and the fraction
Answer: 36 shingles can be placed on the north part of the house.
Step-by-step explanation:
Given: Length of each shingle = feet = feet.
The north part of the house has a roof line that is 60 feet across.
Then, the number of shingles can be placed on the north part of the house = (Length of roof line in north part) ÷ (Length of each shingle)
Hence, 36 shingles can be placed on the north part of the house.
Answer:
infinitely many solutions
Step-by-step explanation:
2x + 2y = 18
x + y = 9
multiply Line M equation by -2 to eliminate at least one variable:
2x + 2y = 18
-2x - 2y = -18
use elimination:
2x + 2y = 18
-2x - 2y = -18
__________
0 + 0 = 0
since this statement is true, there are infinitely many solutions.
The 1st and 3rd ones I think correct me if I’m wrong
By graphing the given points, you will see that a rectangle can be made from the points. Points A and B lie on the same line horizontally as well as points C and D. To determine the distance between points, we use the distance formula expressed as:
d = √((y2-y1)^2 + (x2-x1)^2)
For points A and B, the term (y2-y1)^2 is equal to zero since they lie on the x-axis. The formula would become
d = √(x2-x1)^2
d = x2-x1 = a - 0 = a
Therefore, the distance would be equal to the value of a.