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
miss Akunina [59]
3 years ago
15

What are the endpoint coordinates for the midsegment of △PQR that is parallel to PQ¯¯¯¯¯?

Mathematics
1 answer:
andriy [413]3 years ago
3 0

Answer:

M(x₄ ,y₄) = (-3.5 , 0.5)  and

N (x₅ ,y₅) = ( -1 , -0.5 )

Step-by-step explanation:

Let the endpoint coordinates for the mid segment of △PQR that is parallel to PQ be

M(x₄ ,y₄) and N(x₅ ,y₅) such that MN || PQ

point P( x₁ , y₁) ≡ ( -3 ,3 )

point Q( x₂ , y₂) ≡ (2 , 1 )

point R( x₂ , y₂) ≡ (-4 , -2)  

To Find:

M(x₄ ,y₄) = ?  and

N (x₅ ,y₅) = ?

Solution:

We have Mid Point Formula as

Mid\ point(x,y)=(\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2})

As M is the mid point of PR and N is the mid point of RQ so we will have

Mid\ pointM(x_{4} ,y_{4})=(\frac{x_{1}+x_{3} }{2}, \frac{y_{1}+y_{3} }{2})

Mid\ pointN(x_{5} ,y_{5})=(\frac{x_{2}+x_{3} }{2}, \frac{y_{2}+y_{3} }{2})

Substituting the given value in above equation we get

Mid\ pointM(x_{4} ,y_{4})=(\frac{-3+-4 }{2}, \frac{3+-2} }{2})

∴ Mid\ pointM(x_{4} ,y_{4})=(\frac{-7} }{2}, \frac{1}{2})

∴ Mid\ pointM(x_{4} ,y_{4})=(-3.5, 0.5)

Similarly,

Mid\ pointN(x_{5} ,y_{5})=(\frac{2+-4 }{2}, \frac{1+-2 }{2})

∴ Mid\ pointN(x_{5} ,y_{5})=(\frac{-2 }{2}, \frac{-1}{2})

∴ Mid\ pointN(x_{5} ,y_{5})=(-1, -0.5)

∴ M(x₄ ,y₄) = (-3.5 , 0.5)  and

  N (x₅ ,y₅) = ( -1 , -0.5 )

You might be interested in
A peregrine falcon can fly 322 kilometers per hour.how many meters per hour can the falcon fly
vivado [14]
The falcon can fly 322,000 meters per hour.

1 kilometer is 1000 meters, meaning you would multiply 322 by 1000 equaling 322,000.
5 0
3 years ago
the length , breadth and height of a cuboid is 2x^2y cm,5y^2z cm and 4z^2x cm. The volume of the cuboid is ...............
kondor19780726 [428]

For this case we have that by definition, the volume of a cuboid is given by:

V = L * A * h

Where:

L: It's the long

A: It is the width

h: It is the height

According to the problem data we have:

L = 2x ^ 2y \ cm\\A = 5y ^ 2z \ cm\\h = 4z ^ 2x \ cm

So, the volume of the cuboid is:

V = (2x ^ 2y) (5y ^ 2z) (4z ^ 2x)\\V = 10x ^ 2y ^ 3z (4z ^ 2x)\\V = 40x ^ 3y ^ 3z ^ 3

Finally, the volume of the cuboid is: V = 40x ^ 3y ^ 3z ^ 3

Answer:

V = 40x ^ 3y ^ 3z ^ 3

7 0
3 years ago
Lonna had 30 minutes to do a three-problem quiz. She spent 11 minutes on question A and 4
STatiana [176]

Answer:

She had 15 minutes left.

Step-by-step explanation:

30 - 11 = 19

19 - 4 = <em>15</em>

8 0
3 years ago
Read 2 more answers
What is the product for this question. Explain how if you can
Lyrx [107]

Answer:

d

Step-by-step explanation:

3 0
3 years ago
Need some help please...
Nesterboy [21]

Answer:

C: Starting at 1103 you gain 91 feet each additional hour of climing.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How many possible weight's are there between 10 and 40 pounds
    10·2 answers
  • 80,000 gallons of water
    7·1 answer
  • Two planes that do not intersect are parallel
    10·1 answer
  • What’s 56x34 please help me
    7·2 answers
  • Two neighbors, wilma and betty, each have a swimming pool. both wilma's and betty's pools hold 9900 gallons of water. if wilma's
    7·1 answer
  • Simplify 5c + 5c + 6c
    6·2 answers
  • Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
    8·1 answer
  • Mary stated that 2.01 x 10⁶ is less than 4.8 x 10⁴ because 2.01 is less than 4.8. what was mary's mistake ?
    14·1 answer
  • Can some help pleasee????
    10·1 answer
  • Paula has read 70% of the total pages in a book she is reading for english class
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!