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
DIA [1.3K]
2 years ago
9

Write the equation of a line over which A(-3,5) reflects to A’(2,-5). BRAINLIEST TO THE 1ST PERSON!!

Mathematics
2 answers:
skad [1K]2 years ago
8 0
<u>Given two points:</u>
A = (x₁,y₁) = (-3,5)
A' = (x₂,y₂) = (2,-5)

<u>Find the midpoint of point A and point A'</u>
The midpoint of the two points lies on the reflection line. You can find the midpoint by this following formula
x midpoint = \dfrac{x_{1}+x_{2}}{2}
y midpoint = \dfrac{y_{1}+y_{2}}{2}

Plug in the numbers
x midpoint = \dfrac{-3+2}{2}
x midpoint = \dfrac{-1}{2}
x midpoint = -0.5

y midpoint = \dfrac{5+(-5)}{2}
y midpoint = \dfrac{0}{2}
y midpoint = 0

The midpoint is
(x,y) = (-0.5, 0)

<u>Find the slope of the line passes through (-3,5) and (2,-5)</u>
Use this following formula to find the slope
m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

Plug in the numbers
m = \dfrac{-5-5}{2-(-3)}
m = \dfrac{-10}{2+3}
m = -10/5
m = -2

<u>Find the slope of the line which is perpendicular to the line that passes through (-3,5) and (2,-5)</u>
The line whose slope we want to find is the reflection line we are looking for. Two perpendicular lines have the rule of slope as follows.
m₁ × m₂ = -1

Input the numbers
-2 × m₂ = -1
m₂ = \dfrac{-1}{-2}
m₂ = \dfrac{1}{2}

<u>Find the line equation</u>
The reflection line has the slope of 1/2 and passes through the midpoint (-0.5, 0)
The formula to find a line equation:
y - y₁ = m(x - x₁)

Input the numbers (m = 1/2, x₁ = -0.5, y = 0)
y - y₁ = m(x - x₁)
y - 0 = 1/2 (x - (-0.5))
y = 1/2 (x + 0.5)
y = \frac{1}{2}x+0.25
This is the line equation
laila [671]2 years ago
6 0
Not sure but (-2,5) and (1,3)
You might be interested in
Please answer correctly!! You will be reported if you don't!!
serious [3.7K]

Answer:

QUESTION?

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Expand and Simplify 2(3x - 1) - 4(2x +3) please
Lina20 [59]

Answer:

-2x-14

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
2x-3=-2<br> What is the answer to this equation?
Effectus [21]

1/2 or 0.5 hope this helps

8 0
2 years ago
Read 2 more answers
What is the domain of the function yx4
lutik1710 [3]

The domain of the function is [-4,∞).

Domain is the set of all the possible inputs for which the function is defined.

The given function is:

y = √x+4

It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.

x+4≥0

Subtract 4 from both the sides.

x+4-4 ≥ 0-4

x ≥ 4

The domain of the function is:

Domain = {xIx ≥ -4} = [-4,∞)

learn more about Domain here:

brainly.com/question/26098895

#SPJ4

5 0
9 months ago
Answer ALL the questions, SHOW ALL YOUR WORK. Explain your answers when necessary. Answer ALL questions
Rufina [12.5K]

Answer:

  d. Anthony rode 14 more miles per week than Malique.

Step-by-step explanation:

Anthony rode (141 mi)/(3 wk) = 47 mi/wk.

Malique rode (165 mi)/(5 wk) = 33 mi/wk.

Anthony rode more miles per week by ...

  (47 -33) mi/wk = 14 mi/wk

Anthony rode 14 more miles per week than Malique.

5 0
2 years ago
Other questions:
  • (2.03)
    8·1 answer
  • Leah is building a slide for her kids. if the latter is 7 feet tall and she wants the bottom of the slide to be 4 feet from the
    6·1 answer
  • Jackson was making a poster for his room. He arranged 50 trading cards in the shape of a rectangle on the poster. How many rows
    13·1 answer
  • To graph the inequality t &gt; 3, you would put an open circle on 3 and shade to the left. true or false
    13·1 answer
  • Can someone help please??
    7·1 answer
  • If Y is between X and Z, then X, Y, and Z are collinear?
    9·1 answer
  • Solve those attachments for 100 points
    14·2 answers
  • What is the length of BC
    6·1 answer
  • Which expression is a factor of the expression 20c3+540y3​
    8·1 answer
  • Which is grater .856 or .8561
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!