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ss7ja [257]
2 years ago
9

Suppose that Y and Z are points on the number line.

Mathematics
1 answer:
uranmaximum [27]2 years ago
4 0

9514 1404 393

Answer:

  -3, 13

Step-by-step explanation:

8 units to the left of 5 on the number line is 5-8 = -3.

8 units to the right of 5 on the number line is 5+8 = 13.

The possible locations of Y are -3 or 13.

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Twice the difference of a number 8 equals 5
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Answer:

2(n-8) = 5

Step-by-step explanation:

I'm assuming that its supposed to say "a number <em>and</em> 8"

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2 years ago
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Write an equation for the perpendicular bisector of the line segment joining the two points.
Leona [35]
Points (1, 7)  and  (-3, 2)

Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)

The slope for the line joining the two points =  (2 - 7) / (-3 - 1) = -5/-4

Slope = 5/4

Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5

By condition of perpendicularity

For points (1, 7)  and  (-3, 2),

Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)

Midpoint for (1, 7)  and  (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)

= (-1, 9/2)

Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)

Equation  y - y₁ = m (x - x₁)

                y - 9/2 = (-4/5) (x - -1)
           
                y - 9/2 = (-4/5)(x + 1)

               5(y - 9/2) = -4(x + 1)

               5y - 45/2 = -4x - 4

                 5y =  -4x - 4 + 45/2
           
                5y + 4x = 45/2 - 4

                  5y + 4x = 22  1/2  - 4 =  18 1/2

                  5y + 4x =  37/2

                  10y + 8x = 37

The equation of the line to perpendicular bisector is 10y + 8x = 37
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It is 22 duhhhhhhhhhhhhhhhhhhh

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Answer:

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Step-by-step explanation:

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I hope this helps you

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