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
mario62 [17]
3 years ago
11

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P)

Mathematics
1 answer:
satela [25.4K]3 years ago
3 0
The known endpoint is P = (-16,0)

Let Q = (x,y) be the other endpoint. It is unknown for now.

Looking at the x coordinates of P and Q, we see that they are -16 and x respectively. Adding these values up gives -16+x. Dividing that result by 2 gives (-16+x)/2. This result is exactly equal to the midpoint x coordinate, which is the x coordinate of M (0). 

So we have this equation (-16+x)/2 = 0. Let's solve for x

(-16+x)/2 = 0
2*(-16+x)/2 = 2*0
-16+x = 0
x-16 = 0
x-16+16 = 0+16
x = 16

Therefore the x coordinate of point Q is 16.

------------------------------------

Let's do something similar for the y coordinates.

The y coordinates of P and Q are 0 and y respectively. Add them up and divided by 2, then set the result equal to -16 (y coordinate of midpoint M) getting this equation (0+y)/2 = -16

Solve for y

(0+y)/2 = -16
y/2 = -16
2*y/2 = 2*(-16)
y = -32

The y coordinate of point Q is -32

------------------------------------

The point Q goes from (x,y) to (16, -32)

Final Answer: (16, -32)
You might be interested in
Simplify 2 a + 4 - 7 a + a
AlexFokin [52]
2a + 4 - 7a + a

2a -7a +a +4

-5a + a +4

-4a + 4

-4a + 4 is your answer

hope this helps
8 0
3 years ago
an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
Gnom [1K]
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

7 0
3 years ago
A brick layer is hired to build three walls
hjlf
Answer is B because brick starts with a B
8 0
2 years ago
shirley has $540 un her bank account. She withdraws $35 each week to cover her expenses. write an equation that relates the amou
Veseljchak [2.6K]
540-35x= y

540 is the amount she has minus 35 and x is the weeks she withdrawn the money and y is the answer.
6 0
3 years ago
The age that women in Virginia decide to get married for the first time is normally distributed with an average of 26.3 years an
Nuetrik [128]

Answer:

The answer is 0.9789 approximately equal to 0.9790

Step-by-step explanation:

See the attached files for the details, hope it is clearly understood.

Download pdf
<span class="sg-text sg-text--link sg-text--bold sg-text--link-disabled sg-text--blue-dark"> pdf </span>
4f5c24a39cc9fe2c66cb13edb93a2404.png
3 0
3 years ago
Other questions:
  • What is -35 - 2.5x = -100 Solve for X
    7·2 answers
  • The line plot shows the weights of ten eggs laid by one hen. What is the total weight in ounces of the four heaviest eggs?
    15·1 answer
  • Construct a confidence interval of the population proportion at the given level of confidence. x = 125, n = 250, 90 % confidence
    13·1 answer
  • Combine like terms: 4x - 9 + 2x - 7 - 9x + 5
    12·1 answer
  • Write the fractions for 9/12
    6·1 answer
  • Round 2.1 to the nearest whole number.
    5·2 answers
  • Solve 12=0.9a '''''''''''''''''''''''''''''''
    11·1 answer
  • mario tagged a total of 147 squirrels. He tagged 38 tan male squirrels,10 tan female squirrels 82 gray male squirrels and 17 gra
    6·1 answer
  • Decrease 150km in the ratio 2:5​
    11·1 answer
  • Ralph Chase plans to sell a piece of property for $155000. He
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!