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
Lynna [10]
3 years ago
13

PLS HELP pq has endpoints at p(-5,4) and q(7,-5).what is the midpoint of pq? what are the cordinates of the point 2/3 of the way

from p to q? what is the length of pq?
Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

a. (1, -0.5)

b. (-0.2, 0.4)

c. 15 units

Step-by-step explanation:

a. The midpoint of PQ

To calculate this, we use the midpoint formula;

(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}

From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)

So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)

The coordinates of the midpoint of pq is (1,-0.5)

c. Length of pq

Mathematically;

Length = √{(x2-x1)^2 + (y2-y1)^2}

Length = √{(7-(-5))^2 + (-5-4)^2}

Length = √(12)^2 + (-9)^2

Length = √(144 + 81) = √(225) = 15

b. What we will use here is the internal division formula of the section formula;

Mathematically the coordinates can be calculated using the formula;

(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n

in this case, m = 2 and n = 3

(x1,y1) = (-5,4)

(x2,y2) = (7,-5)

So substituting these values, we have;

(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)

(x,y) = (14 -15)/5 , (-10 + 12)/5

= (-1/5, 2/5) = (-0.2, 0.4)

You might be interested in
Darrell has the following data:
aleksley [76]

Answer:

I'm fairly certain that c=10. Don't quote me on that.

Step-by-step explanation:

7 0
2 years ago
M&lt;1= (2x + 7y) degrees <br> and<br> m&lt;2= (2x+y) degrees<br> find x and y
Romashka-Z-Leto [24]
Do you have a picture for this problem? There are multiple different ways to solve this problem but I'll need a picture to help you.
3 0
3 years ago
How old was Lisa x years ago if she is now 13? Which expression represents this?
gogolik [260]

Answer:13-x= y

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Troy stood at the top of a hill 12 feet above sea level he threw a rock down the hill and it landed 4 feet below sea level how m
4vir4ik [10]
Answer: 8
Explanation: the rock traveled 8 feet. All your doing is subtracting 12-4=8
7 0
3 years ago
2. What is the location of item 2?
Vikentia [17]

Answer:

(3,1)

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Blairs new computer cost 5$ less than twice the cost og her old computer. Her new computer cost 709$. how much did blairs old co
    15·1 answer
  • Show how to use unit multipliers to convert 4 hours to seconds.
    5·1 answer
  • Please help me with these questions
    10·1 answer
  • Which answer describes the type of sequence?
    10·2 answers
  • How do you work out 8 something 2 something 1 =24 ?
    9·2 answers
  • 17. On a map, 1 inch = 20 miles. If the road is 4.3 inches long on the map, how many miles is the actual road?
    8·1 answer
  • If f(x) = 81x, find f(3/2)
    13·2 answers
  • Diameter = 20.00, height = 10.00 what's the volume of cylinder ?
    15·1 answer
  • I Neeedd it quickk pleasee anyonee helpp
    14·2 answers
  • Which expression can be used to find 52% of 230?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!