Mathematics High School

Line segment XY has endpoints X(5, 7) and Y(– 3, 3). Find the equation for the perpendicular bisector of line segment XY.


A. 2x + y = 7


B. x + 2y = 11


C. 2x – y = – 3


D. x – 2y = – 9

Answers

Answer 1

Answer:b

Step-by-step explanation:

Answer 2

The equation for the perpendicular bisector of line segment XY is 2x + y = 7, the correct option is A.

What is the standard equation of a line?

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line segment XY  has the points  X(5, 7) and Y(–3, 3).

The slope of the line is,

m = ( 3 - 7) /( -3 - 5)

m = -4 / -8

m = 1 /2

The product of the slope of a line and a line perpendicular to it is -1.

( 1/2) * m' = -1

m' = -2

As it is a bisector , the midpoint of X and Y will be the point on the line.

Midpoint of XY is ( ( 5 -3)/2 , (7+3)/2 )

Midpoint of XY is ( 1 , 5)

The equation of the perpendicular bisector of line segment XY is,

y = -2x +c

5 = -2 + c

c = 7

So, the equation is,

y = -2x +7

2x +y = 7

To known more about standard equation of a line

https://brainly.com/question/12452575

#SPJ6

Related Questions

Evaluate the expression when x=3 , y=−4 , and z=−6.
z−2x/y

Answers

Answer:

9/2

distribute the value of x,y, and z, on the given questions, and then you do multiplication, next addition, lastly lowest term.

Can someone please help me with this?

Answers

An acute angle would be the correct answer. Explanation: the smaller angles below 90 degrees are acute. Hope this helps have a nice day

Answer:

Acute angle

Step-by-step explanation:

This would be an Acute since it's less the 90 degrees

It wouldn't be complementary since both angles don't add up to ninety

Solve for z. Assume the equation has a solution for z, -p.(d+z) = -2z+59​

Answers

Answer:

[tex]z = \boxed{ \frac{59 + pd}{2 - p} }[/tex]

General Formulas and Concepts:
Pre-Algebra

Distributive Property

Algebra I

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Terms/Coefficients

Expanding/Factoring

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle -p(d + z) = -2z + 59[/tex]

Step 2: Solve for z

[Distributive Property] Distribute -p:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -2z to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd -pz = -2z + 59 \\& \rightarrow -pd -pz + 2z = 59 \\\end{aligned}[/tex][Addition Property of Equality] Add -pd to both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\\end{aligned}[/tex]Factor:

[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\\end{aligned}[/tex][Division Property of Equality] Divide -p + 2 on both sides:
[tex]\displaystyle \begin{aligned}-p(d + z) = -2z + 59 & \rightarrow -pd - pz = -2z + 59 \\& \rightarrow -pd - pz + 2z = 59 \\& \rightarrow -pz + 2z = 59 + pd \\& \rightarrow z(-p + 2) = 59 + pd \\& \rightarrow z = \boxed{ \frac{59 + pd}{2 - p} } \\\end{aligned}[/tex]

∴ we have solved the given equation for z.

___

Learn more about Algebra I: https://brainly.com/question/16452009

___

Topic: Algebra I

Evaluate the expression a=3, b=2, and c=12

Answers

Answer:

jejejwjjwjejeejekeekekeknenenenne

Answer:

Step-by-step explanation:

Sorry but please give detailed question

Someone help I really need it.

Answers

Answer:

c

Step-by-step explanation:

C

12 = x

12 times 12 = 144

HELP DO ALL IF U CAN SORRY MY CAP ARE ON

Answers

0.07 = 0.07

0.07 > 0.06 (or any number greater than 0.07)

0.07 < 0.08 (or any number less than 0.07)

Answer:

1) 0.07 can only equal 0.07

2) > means greater than, so the answer would be anything greater than 0.07.

3) < means less than, so the answer would be anything less than 0.07.

I hope this helped you out...have an amazing day!! C:

Write the equation of the line described that passes through (-6,8), perpendicular to y = 5x - 15
PLS ANSWER THIS PLSSSSSSSS.

Answers

Answer:

[tex]y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

Step-by-step explanation:

[tex]y-y_{1} =m(x-x_{1} )\\y-8=-\frac{1}{5} (x+6)\\y-8=-\frac{1}{5}x-\frac{6}{5}\\y=-\frac{1}{5}x+9\frac{1}{5}[/tex]

IK and LN are parallel lines. Which angles are vertical angles?

Answers

Answer:

OM and JH

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are opposite angles when two lines intersects

 ∠OMN & ∠LMJ are opposite angles

∠OML and ∠NMJ are opposite angles

∠MJK and ∠IJH are opposite angles

∠MJI and KJH are opposite angles

Consider the linear equation.
32 4y = 18
Which two ordered pairs are on the graph of the linear equation?

Answers

i tried to do it step by step as fast as i could, i hope this gives u the eighth answer if not i’m sorry!

After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.

Answers

The correct answer is 13.

(I only replied so you can give the other person the brainliest)

Six times a number is forty two.
Write the equation?

Answers

Answer:

6*n=42

Step-by-step explanation:

n=7 if you need that info

Help pls help NOW! 35 points.

Answers

u probs don’t need this but take it as confirmation i guess:
it’s true

The Babysitter's Block charges a rate of $15 an hour per child plus an initial fee of $25 per household. Super Sitters charges a flat rate of $20 an hour per child.

For hours ______ of service, both babysitting services would cost the same.

Answers

5 hours of service (for one child each)

15x + 25 = 20x
Subtract 15x from both sides:
25 = 5x
Divide both sides by 5 to isolate x:
x = 5

Answer:

i think its 7500

Step-by-step explanation:

Megan's DVD club membership, which is $8, is deducted automatically from her bank account every month. Which expression shows the total deductions for the year?

(−$8) ÷ 12
(−$8) ⋅ 12
(−$8) − 12
(−$8) + 12

Answers

Answer:

Its B :D

Step-by-step explanation:

What si the meaning of 3:4

Answers

Answer:

its either a ratio or a 2017 film

Step-by-step explanation:

for every 3 pieces of candy you eat, you lose 4 teeth

Simplify (2a+5)6a^2
Can someone help please

Answers

Answer:

12a^3+30a^2

Step-by-step explanation:

6a^2(2a+5)

12a^3+30a^2

PLEASE PLEASE PLEASE HELPPP MEEE !!! Identify all of the roots of the function.

f(x) = x3 – 5x2 – 2x + 24

Answers

Answer:

4, 3, -2 are the 3 roots of the function

Answer:

-2, 3 & 4

Step-by-step explanation:

The integer roots of the polynomial function f(x)=x^3-5x^2-2x+24f(x)=x

3

−5x

2

−2x+24 can be only among the divisors of free term.

The divisors of free term are:

\pm 1, \pm 2, \pm 3, \pm 4, \pm 6, \pm 8, \pm 12, \pm 24.±1,±2,±3, ±4,±6,±8,±12,±24.

Check them:

1. f(1)=1^3-5\cdot 1^2-2\cdot 1+24=18\neq 0f(1)=1

3

−5⋅1

2

−2⋅1+24=18

=0 , 1 is not a root.

2. f(-1)=(-1)^3-5\cdot (-1)^2-2\cdot (-1)+24=20\neq 0f(−1)=(−1)

3

−5⋅(−1)

2

−2⋅(−1)+24=20

=0 , -1 is not a root.

3. f(2)=2^3-5\cdot 2^2-2\cdot 2+24=8\neq 0f(2)=2

3

−5⋅2

2

−2⋅2+24=8

=0 , 2 is not a root.

4. f(-2)=(-2)^3-5\cdot (-2)^2-2\cdot (-2)+24=0f(−2)=(−2)

3

−5⋅(−2)

2

−2⋅(−2)+24=0 , -2 is a root.

5. f(3)=3^3-5\cdot 3^2-2\cdot 3+24=0f(3)=3

3

−5⋅3

2

−2⋅3+24=0 , 3 is a root.

6. f(-3)=(-3)^3-5\cdot (-3)^2-2\cdot (-3)+24=-42\neq 0f(−3)=(−3)

3

−5⋅(−3)

2

−2⋅(−3)+24=−42

=0 , -3 is not a root.

7. f(4)=4^3-5\cdot 4^2-2\cdot 4+24=0f(4)=4

3

−5⋅4

2

−2⋅4+24=0 , 4 is a root.

The cubic function has at most 3 roots, then

Answer: roots of the function are -2, 3 and 4.

The distance from Phoenix to Tucson is 120 miles. The distance from Phoenix to Flagstaff is about 21.7% longer. To the nearest mile, what is the distance from Phoenix to flagstaff?

Answers

Answer:

146.04

Step-by-step explanation:

120×21.7%= 26.04

21.7% of 120 miles

120+26.04= 146.04

A car dealer reported a 7.5% drop in sales from 895 cars. How many cars were sold?

Answers

Answer:

its is 38.6

Step-by-step explanation:

need help with this ​

Answers

Answer:

[tex]-5x^2-26[/tex]

Step-by-step explanation:

[tex](f\:o\:g)=f(g(x))\\\\f(g(x))=-5(x^2-5)-1\\\\=-5x^2-25-1\\\\=-5x^2-26[/tex]

Explaining How to S
ve an ea
What should you do to solve the equation?
45 = x + 38
O Subtract 38 from both sides.
O Add 38 to both sides.
O Subtract 45 from both sides.
O Add 45 to both sides.

Answers

You subtract 38 from both sides

Answer:

Subtract 38 from both sides.

Step-by-step explanation:

THAT DA ANSWER

What are the roots of the polynomial equation x cubed minus 7 x = 6 x minus 12? Use a graphing calculator and a system of equations.

Answers

↓Answer:

Step-by-step explanation:

It will be 504

Answer:

THE ANSWER IS B

Step-by-step explanation:

what are the 3 most important things you learned about evaluating functions​

Answers

Replace, substitute, plug in given values

Functions explain circumstances in which particular quantity and quality would be different. The important things about evaluating functions are below.

The evaluation collected data or information help to design curricula, assess the efficiency of innovative approaches, and highlight the regions of the requirement for change.Evaluation data is becoming increasingly valuable for guiding and advice.This same evaluation would be important just to measure the effectiveness of an existing program.

Learn more about evaluating functions​ here:

https://brainly.com/question/1291990

Can someone help me??

Answers

Answer:

the answer is 100% d I'm sure

Answer:

$1.17

Step-by-step explanation:

change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)

            = 20 - (11.97 + 2.99 + 3.09 + 0.78)

            = 20 - 18.83

            = 1.17

What is the answer to 5 (y-10) = -5

Answers

Answer:

5(y-10)=-5

5y-50=-5

5y=45

y=9

Step-by-step explanation:

distribute

add 50 to the other side and undo it from its original side

get the variable by itself by dividing 5 on both sides

then you have your answer

I hope this helps!

Answer:

9

Step-by-step explanation:

5(y-10)=5

divide both sides by 5

50-5=45

45 divided by 5 is 9

Rachel has a bag that contains a total of 224 red and yellow candies. The ratio of red candies, R , to yellow candies, Y , is 3 to 4.
How many red candies are in Rachel's bag?

Answers

Answer:

96 red

Step-by-step explanation:

96 red, 128 yellow; 3/4=.75; r+y=224; .75y+y=224; 1.75y=224; 224/1.75=128, 224-128=96

Find the number represented by the prime factorization. 2^2 x 3^2 x 5​

Answers

Step-by-step explanation:

4* 9* 5

= 180

I think that is the answer

Hope it helps :)

The number represented by 2² × 3² × 5  is 180.

What is prime factorisation ?

Prime factorisation is factoring a given composite number in terms of prime numbers multiplied with each other.

Prime numbers are those numbers which are only divisible by 1 and the number it self.There are 25 prime numbers from 1 to 100 and 47 prime numbers from 1 to 200.

According to the given question the number represented by prime factorisation 2² × 3² × 5 = 4 × 9 × 5 which is

= 36 × 5

= 180.

learn more about prime factorisation here :

https://brainly.com/question/24298927

#SPJ2

explain how xy and xy are diffrent

Answers

Answer:

x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph

Step-by-step explanation:

Answer:

xy and xy is the same, equal and congruent.

Step-by-step explanation:

By the way you write it, it looks the same.

Solve the equation: 3(x−3) + 2x= −49

A.) x= - 8
B.) x = - 2
C.) x = - 40
D.) x= - 50/3

Answers

X = - 8 should be the answer

sam bought 2 1/5 pounds of carrots for 6.60$. what is the unit rate in cost per pound ​

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Other Questions
There are many reasons why we take photographs, including to create art, make money, or to record a memory. True False Anyone know? /&/&:&:&:!:dnndndndnd pleaseeeeeeeeeeee help me What is the weather like during a hailstorm? Why after a certain time bouncing a ball does it stop? Find the mass of the object if it has a volume of 20 mL and a density of 3 g/mL. What does de do de es Fernando mean The Mandarin language is written using more than 5,000 of these. A. characters B. speakers C. tonesplz help me... I need help! Please Like RIGHT NOW. pls what is a good argumentative essay about social class discrimination ... Why does the base matter when simplifying negative exponents? The table shows expressions to represent the number of students involved in different activities. The number of students involved in sports and student council is equal to the number of students involved in band and drama club. Model the situation with an equation. Select the correct expression for each box. Then solve the equation. What is an effect of the Ming (China) importing silver from Europe? What is pizza rolls What were the key ideals and provisions of the tribal treaties of this era (such as the Point No Point Treaty), and how did they reflect the goals of Governor Stevens and the settlers of the Washington Territory? Support your conclusions with reasons and evidence from the treaties. look at this picture by Reubens it features what ideal of beauty for women of this time 7) Match the meaning of each of the suffixes.a) -ous/-eous/-iousb) -ness c) -ment d) -ly e) -ful f) -y g) -al/-ial/-ical h) -able/-ible i) -er/-or j) -en k) -less1)_____able to be2)_____having characteristics of 3)_____made of, cause to be 4)_____one who 5)_____full of 6)_____without 7)_____characteristic of 8)_____action or process 9)_____state of, condition of 10)_____possessing the qualities of 11)_____characterized by, consisting of, or inclined toward Please PLEASE help with these two math problems1. 7^x 7^y =2. z^10x^y z^5 = Whats the slope if this line?? Jerrods family drove 1,778 miles from Denver, Colorado, to New York City. They averaged 61.7 miles per hour on the trip. Which is the best estimate of the number of hours the family drove?