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VMariaS [17]
4 years ago
6

How can I solve 16,18,20, and 22?

Mathematics
1 answer:
juin [17]4 years ago
3 0
Problem 16 Begin by setting corresponding positions equal to each other.
9 = x + 2y  and 13 = 4x + 1
The second equation only has one variable so you should solve it first.
13 = 4x + 1
13 - 1 = 4x + 1 - 1
12 = 4x  (divide both sides by 4)
3 = x
you can use this value to find y in the other equation
9 = 3 + 2y
9 - 3 = 3 - 3 + 2y
6 = 2y
3 = y 
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6.3.12
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Answer:

S = (4,-9)

Step-by-step explanation:

Given

T = (0,5)

Midpoint = (2,-2)

Required

Find S

Midpoint is calculated as:

Midpoint = 0.5(x_1 + x_2,y_1+y_2)

So, we have:

(2,-2)= 0.5(0+ x_2,5+y_2)

<em>Where x2 and y2 are the coordinates of S</em>

Multiply through by 2

2 * (2,-2)= 2 * 0.5(0+ x_2,5+y_2)

(4,-4)= (0+ x_2,5+y_2)

(4,-4)= (x_2,5+y_2)

By comparison:

x_2 = 4

5 + y_2 = -4

y_2 = -4-5

y_2 = -9

So:

S = (4,-9)

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