1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FinnZ [79.3K]
3 years ago
7

Which of the following equations represents the perpendicular bisector of WX graphed below?

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0
The coordinates of the 2 given points are W(-5, 2), and X(5, -4).

First, we find the midpoint M using the midpoint formula:

\displaystyle{ M_{WX}= (\frac{x_1+x_2}{2},  \frac{y_1+y_2}{2} )=  (\frac{-5+5}{2},  \frac{2+(-4)}{2} )=(0, -1).

Nex, we find the slope of the line containing M, perpendicular to WX. We know that if m and n are the slopes of 2 parallel lines, then mn=-1.

The slope of WX is \displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{2-(-4)}{-5-5}= \frac{6}{-10}= -\frac{3}{5}.

Thus, the slope n of the perpendicular line is \displaystyle{  \frac{5}{3}.

The equation of the line with slope \displaystyle{ n= \frac{5}{3} containing the point M(0, -1) is given by:

\displaystyle{ y-(-1)=\frac{5}{3}(x-0)

\displaystyle{ y+1= \frac{5}{3}x

\displaystyle{ 3y+3=5x

\displaystyle{ 5x-3y-3=0

Answer: 5x-3y-3=0
You might be interested in
A toy airplane cost 4.84.It cost 4 times as much as a toy car.What is the cost of the toy car?
Veronika [31]
Divide the cost of the airplane by 4.
4 0
3 years ago
Read 2 more answers
5c/f=1/r, solve for r, c and f.
Nikolay [14]

Answer:

c = 1, f = 5, and r = 1

Step-by-step explanation:

5(1)/(5) = 1/(1)

5/5 = 1/1

1 = 1

8 0
3 years ago
Read 2 more answers
Trish's resting heart rate is 50 beats per minute. For every minute she exercises, her heart rate increases 5 beats per minute.
svlad2 [7]

Answer:

??

Step-by-step explanation:

6 0
3 years ago
How do u solve 5x + 9 = x - 23 ? *EXTRA POINTS
iren [92.7K]

Answer:

5x+9=x-23

5x-x=-23-9

4x= -32

4x/4=-32/4

x=-8

7 0
3 years ago
Read 2 more answers
Solve 3x^2 + 6x+15=0
Elden [556K]

Answer:

The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )

Step-by-step explanation:

Given equation as :

3 x² + 6 x +15 = 0

The value of x fro the quadratic equation a x² + b x + c = 0 is obtained as

x = \frac{-b\pm \sqrt{b^{2}-4ac}}{2a}

So , from given eq , the value of x is now obtain as

x = \frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}

Or, x =  \frac{-6\pm \sqrt{6^{2}-4\times 3\times 15}}{2\times 3}

Or, x = \frac{\sqrt{-144} }{6}

∴   x = ( - 1 + 2 i ) , ( - 1 - 2 i )

Hence The solution of given equation is ( - 1 + 2 i ) , ( - 1 - 2 i )  Answer

6 0
3 years ago
Other questions:
  • If ƒ(x) = -4x - 7 and g(x) = 1/x ^2 , then what is the value of g(ƒ(-2))?
    8·1 answer
  • A class of 34 children has two more girls than triple the number of boys. How many girls are there in the class?
    8·1 answer
  • What is the area of this trapezoid? Show your work and explain how you solved using First, Next, and Last.
    14·2 answers
  • I Need Help with math
    8·1 answer
  • Round to the given place: 9,596,809 (millions)
    12·2 answers
  • Choose all set that contain the number 5
    12·2 answers
  • (x + 3)^2 - 4x^2<br><br> Factorise using the difference of two squares
    13·1 answer
  • A woman has a total of $ 13 , 000 to invest. She invests part of the money in an account that pays 10 % per year and the rest in
    10·1 answer
  • Check each set that includes the number shown. 5/9
    15·1 answer
  • there are 983 boys and 1059 girls in a school estimate the approximate number of students in the school​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!