Answer:

Step-by-step explanation:
Let the points be A and B
Let A ( -8 , -2 ) be ( x₁ , y₁ ) and B ( 6 , - 1 ) be ( x₂ , y₂ )
<u>Finding the distance between these points </u>






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A. Total amount raised, A, equals 92 sponsors times number of kilometers, n, times $1 per kilometer, plus additional donations, d.
b. Yes. Write an equation based on the verbal model: A = 92n +d. Substitute the information from the problem into the equation and solve for d: 842 = 92(8) + d. The amount of money from additional donations is $106.
Answer:
41 and 24
Step-by-step explanation:
x+y=65 -------(A)
x-y=17 -------- (B)
(A)+(B)
(x+y)+(x-y)=65+17
2x=82
x=41
(B)===>
41-y=17
y=41-17
y=24
Ratio triangle height to square side 7:8
ratio triangle base to square side 1:2
Area of the square is 64 in² then the sides = 8 in
ratios give
h = 7(8)/8
h = 7
b = 8/2
b = 4
Area Triangle = 0.5(7)(4)
= 14
Then shaded region is the Area of the square minus the Area of the triangle.
A = 64 - 14
A = 50 in²