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MA_775_DIABLO [31]
3 years ago
11

Write an equation of the perpendicular bisector of the line segment whose endpoints are (−1,1) and (7,−5)

Mathematics
1 answer:
icang [17]3 years ago
7 0

The equation is y = \frac{3}{2} x - \frac{11}{2}

<u>Explanation:</u>

We have to first find the mid-point of the segment, the formula for which is

(\frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} )

So, the midpoint will be (\frac{-1+7}{2} , \frac{1-5}{2} )\\\\

                                  = (3,-2)

It is the point at which the segment will be bisected.

Since we are finding a perpendicular bisector, we must determine what slope is perpendicular to that of the existing segment. To determine the segment's slope, we use the slope formula \frac{y_2-y_1}{x_2-x_1}

The slope is \frac{-5-1}{7+1} = -\frac{2}{3}

Perpendicular lines have opposite and reciprocal slopes. The opposite reciprocal of  -\frac{2}{3} is \frac{3}{2}

To write an equation, substitute the values in y = mx + c

WHere,

y = -1

x = 3

m = 3/2

Solving for c:

-1 = \frac{3}{2} X 3 + c\\\\-1 = \frac{9}{2}+c\\ \\c = \frac{-2-9}{2} \\\\c = \frac{-11}{2}

Thus, the equation becomes:

y = \frac{3}{2} x - \frac{11}{2}

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Which ordered pairs lie on the graph of the exponential function f(x)=−3^(x−1) +2 Select each correct answer.
katrin [286]
<h3>Answer:</h3>

(1, 1), (4, -25)

<h3>Step-by-step explanation:</h3>

You can evaluate the function to see.

f(-1) = -3^(-1-1)+2 = -3^(-2)+2 = -1/9 +2 ≠ 2

f(1) = -3^(1-1) +2 = -1 +2 = 1

f(0) = -3^(0-1) +2 = -1/3 +2 ≠ 0

f(4) = -3^(4 -1) +2 = -27 +2 = -25

_____

Or, you can graph the points and the curve.

8 0
3 years ago
What are the solutions of the equation x^2+4x+4=25
vodomira [7]
X² + 4x + 4 = 25
(x+2)² = 25
x + 2 = <span>±5
x + 2 = -5     or     x + 2 = 5
x = -5 -2               x = 5 - 2
x = -7                   x = 3

</span><span>The solutions are x=-7 and x=3</span>
7 0
3 years ago
Please answer this fast
Jlenok [28]
12+8y you have to do like terms and the distributive property of 2(y+1)
4 0
3 years ago
Help plz..And No links!! I repeat No links!!
patriot [66]

This is Right answer....

I hope you understand...

Mark me as brainliest....

Thanks

6 0
3 years ago
Read 2 more answers
In what form is the equation y=7=3/4(x-5) written?
jeka94
The answer to the question is point slope form
3 0
4 years ago
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