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
spayn [35]
3 years ago
13

Write an equation for the perpendicular bisector of the line segment joining the two points.

Mathematics
1 answer:
Leona [35]3 years ago
7 0
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
You might be interested in
Vera's office recycled a total of 4 kilograms of paper over 2 weeks. After 7 weeks, how many kilograms of paper will Vera's offi
Natali [406]
Vera's office would recycle 9 kilograms of paper over 7 weeks. <span />
6 0
3 years ago
A group of 7 people want to equally share 33 1/4 ounces of cake. How much will one person get
AURORKA [14]
Each person will get 4.75 ounces of cake. You just divide 33 1/4 by 7. 
Hope this helps! :D

~PutarPotato
5 0
3 years ago
4 3/4 divided by 1 1/6
ozzi

Answer:

2\frac{13}{22}

Step-by-step explanation:

=\frac{19}{4}\div \frac{11}{6}

\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}

=\frac{19}{4}\times \frac{6}{11}

=\frac{19}{2}\times \frac{3}{11}

\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}

=\frac{19\times \:3}{2\times \:11}

\mathrm{Multiply\:the\:numbers:}\:19\times \:3=57

=\frac{57}{2\times \:11}

\mathrm{Multiply\:the\:numbers:}\:2\times \:11=22

=\frac{57}{22}

=2\frac{13}{22}

5 0
3 years ago
There are 9 classes of 25 students each, 4 teachers, and two times as many chaperones as teachers.
densk [106]

5 buses is the answer pls mark me brainliest

8 0
3 years ago
Which of the following will result in a rational number? Select all that apply.
romanna [79]

An expression is defined as a set of numbers, variables, and mathematical operations

<h3>What is an Expression?</h3>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

A.) 7 3/4 - (√11)/5 = (155-4√11)/20

B.) 7 3/4 ÷ (√11)/5 = 155/(4√11)

C) 7 3/4 + (√16)/5 = 166/20

D.) 7 3/4 + (√16)/5 = 31/5

The option that will result in a rational number is C and D.

Learn more about Expression:

brainly.com/question/13947055

#SPJ1

8 0
2 years ago
Other questions:
  • Jose is surveying shoppers about their use of the new pharmacy in a grocery store. Which of the following questions in his surve
    10·2 answers
  • Two apples and five bananas cost £4.20
    12·2 answers
  • A rectangle is 12m longer than it is wide. Its perimeter is 68m. Find its length and width?
    12·1 answer
  • Find the complete factorization of the expression.
    5·2 answers
  • Netan surveyed 460 teenagers to find out their favorite type of movie. He found that 45% of the teenagers surveyed like comedies
    7·2 answers
  • The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?
    5·2 answers
  • The difference in the X-coordinates of two points is 3, and the difference in Y-coordinates of the two points is 6. What is the
    5·1 answer
  • In the 7th grade, 165 students ride the bus to school. If there are 250 students in 7th grade, what percent rides the bus? Pleas
    6·1 answer
  • Could someone please explain how to solve for the area?
    12·2 answers
  • 42, 53, 54, 55, 59, 59, 60, 63, 65, 67, 70, 71, 73
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!