Answer: 
Step-by-step explanation:
We need to use the following formula to find the Midpoint "M":
Given the points (-5,13) and (6,4) can identify that:
The final step is to substitute values into the formula.
Therefore, the midpoint of the segment between the points (-5,13) and (6,4) is:
Answer: y = $7.50x + $25
Step-by-step explanation:
From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.
The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:
= ($.750 × x) + $25
y = $7.50x + $25
Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.
X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
B. 4: for x-4
D. -6: for x-6
Answer: 32 pints
Explanation:
.16 x 25 = 4 gallons convert to pints
1 gallon is equal to 8 pints so 4 x 8 = 32 pints
