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olga nikolaevna [1]
3 years ago
7

Find the distance between the two points rounding to the nearest tenth (if necessary). (−2,5) and (−8,−3)

Mathematics
1 answer:
il63 [147K]3 years ago
8 0

Answer : 10 this is the answer

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What is 8 more than twice the sum of a number and 3 is the same as -6?
a_sh-v [17]
This can be solver by creating a small equation with x being the number and solving for x. The equation would be 8 + 2( x + 3 ) = -6
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8 0
3 years ago
find the equation of the perpendicular bisector of the line segment joining the points (3,8) and (-5,6).​
IgorLugansk [536]

Answer:

y = - 4x + 3

Step-by-step explanation:

The perpendicular bisector is positioned at the midpoint of AB at right angles.

We require to find the midpoint and slope m of AB

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = A(3, 8) and (x₂, y₂ ) = B(- 5, 6)

m = \frac{6-8}{-5-3} = \frac{-2}{-8} = \frac{1}{4}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{4} } = - 4

mid point  = [0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Using the coordinates of A and B, then

midpoint AB = [0.5(3 - 5), 0.5(8 + 6) ] = (- 1, 7 )

Equation of perpendicular in slope- intercept form

y = mx + c ( m is the slope and c the y- intercept )

with m = - 4

y = - 4x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

Using (- 1, 7), then

7 = 4 + c ⇒ c = 7 - 4 = 3

y = - 4x + 3 ← equation of perpendicular bisector

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