Answer:
(5,2) D
Step-by-step explanation:
up 1 to the right 4
Answer:um....
Step-by-step explanation:
That looks like a translation; let's check. We have
A(-5,1), B(-3,7), A'(3,-1), B'(5,5)
If it's a translation by T(x,y) we'd have
A' = A + T
B' = B + T
so
T = A' - A = (3,-1) - (-5,1) = (8,-2)
and also
T = B' - B = (5, 5) - (-3, 7) = (8,-2)
They're the same so we've verified this transformation is a translation by (8,-2), eight right, two down.
Answer:
Step-by-step explanation:

Multiply the equation by 4

5x - 2 + 2 = 2*(3y + 2)
5x +0 = 2*3y + 2*2
5x = 6y + 4
5x - 6y = 4 --------------------(I)

Multiply the equation by 6

2*(7y + 3) = 3x + 2*7
14y + 6 = 3x + 14
14y = 3x + 14 - 6
14y = 3x + 8
-3x + 14y = 8 ------------------------(II)
Multiply equation (I) by 3 and equation (II) by 5 and then add
(I)*3 15x - 18y = 12
(II)*5 <u>-15x + 70y = 40</u> {Now add}
52y = 52
y = 52/52
y = 1
Substitute y =1 in equation (I)
5x - 6*1 = 4
5x - 6 = 4
5x = 4 +6
5x = 10
x = 10/5
x = 2
Answer: The surface area of the triangular prism is 448 square millimeters.
To find the surface area, we just need to input our values into the formula that is given.
SA = 2B + Ph
SA = 2(84) + 56(5)
SA = 168 + 280
SA = 448
The final surface area is 448 mm^2.