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Readme [11.4K]
3 years ago
10

HELP ASAP TIMED!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
pochemuha3 years ago
4 0

Answer:

Step-by-step explanation I think a

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Find an equation for the perpendicular bisector of the line segment whose endpoints are
Andrew [12]

The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

Step-by-step explanation:

Let us revise the relation between the slopes of perpendicular lines

  • The product of the slopes of two perpendicular lines is -1
  • That means if the slope of one of them is m, then the slope of the other is -\frac{1}{m}
  • You reciprocal the slope of one and change its sign to find the slope of the other

The mid point of a segment whose endpoints are (x_{1},y_{1}) and (x_{2},y_{2}) is (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

The perpendicular bisector of a line is the line that intersect it in its mid-point and formed 4 right angles

∵ The end point of a given line are (9 , -3) and (-5 , -7)

∴ x_{1}=9 and x_{2}=-5

∴ y_{1}=-3 and y_{2}=-7

- Find the slope of the line by using the rule of the slope m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

∵ m=\frac{-7-(-3)}{-5-9}=\frac{-7+3}{-14}=\frac{-4}{-14}=\frac{2}{7}

∴ The slope of the given line is \frac{2}{7}

To find the slope of the perpendicular bisector of it reciprocal it and change its sign

∴ The slope of the perpendicular bisector = -\frac{7}{2}

∵ The form of the linear equation is y = mx + b, where m is the

   slope and b is the y-intercept

- Substitute the value of m in the equation

∴ The equation of the perpendicular bisector is y = -\frac{7}{2} x + b

To find b substitute x and y in the equation by a point on the line

∵ The perpendicular bisector of the given line intersect it at

   its midpoint

- Find the mid-point of the given line busing the rule above

∵ x_{1}=9 and x_{2}=-5

∵ y_{1}=-3 and y_{2}=-7

∴ The mid-point of the given line = (\frac{9+(-5)}{2},\frac{-3+(-7)}{2})=(\frac{4}{2},\frac{-10}{2})=(2,-5)

Point (2 , -5) is also lies on the perpendicular line

∴ x = 2 and y = -5

- Substitute them in the equation

∵ -5 = -\frac{7}{2} (2) + b

∴ -5 = -7 + b

- Add 7 to both sides

∴ 2 = b

- Substitute the value of b in the equation

∴ The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

The equation of the perpendicular bisector is y = -\frac{7}{2} x + 2

Learn more:

You can learn more about the linear equation in brainly.com/question/11223427

#LearnwithBrainly

8 0
3 years ago
Answer for brainlist & extra points <3
DENIUS [597]

Answer:

Equation:500÷8×2

Answer:125

3 0
3 years ago
How much can 6 go in 3
s344n2d4d5 [400]

Answer: 6 cannot go into 3 because it is a larger number but 3 can go into 6 twice because 3x2=6

4 0
3 years ago
Read 2 more answers
5x+1/7-2x-6/4&gt;-4<br> solve the linear equation
8_murik_8 [283]
5x+1/7-2x-6/4>-4 equals x>-37/42
8 0
3 years ago
I Need Help!!! PLEASE HELP!!!!!!!!
WINSTONCH [101]

Answer:

Maybe B?

Step-by-step explanation:

8 0
3 years ago
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