Mathematics High School

Find the coordinates

Find The Coordinates

Answers

Answer 1

Given:

The two points are P(14,16) and Q(21,19).

M is the midpoint of the segment PQ.

To find:

The distance between P and Q, and find the coordinates of point M.

Solution:

Distance between P(14,16) and Q(21,19) is

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d(P,Q)=\sqrt{(21-14)^2+(19-16)^2}[/tex]

[tex]d(P,Q)=\sqrt{(7)^2+(3)^2}[/tex]

[tex]d(P,Q)=\sqrt{49+9}[/tex]

On further simplification, we get

[tex]d(P,Q)=\sqrt{58}[/tex]

[tex]d(P,Q)=\sqrt{58}[/tex]

The midpoint of P and Q is M. So, the coordinates of the midpoint are:

[tex]M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]M=\left(\dfrac{14+21}{2},\dfrac{16+19}{2}\right)[/tex]

[tex]M=\left(\dfrac{35}{2},\dfrac{35}{2}\right)[/tex]

[tex]M=\left(17.5,17.5\right)[/tex]

Therefore, the distance between P and Q is [tex]\sqrt{58}[/tex] and the midpoint of P and Q is [tex]M=\left(17.5,17.5\right)[/tex].

Related Questions

Find m
i’ll give brainlest

Answers

Answer:

its just a black picture

Step-by-step explanation:

Answer:

its in math

Step-by-step explanation:

Which of the following statements are true about the given rational equation? Check all of the boxes that apply. 4 x + 6 + 1 x2 = x + 10 x3 + 6x2 x = 1 is a solution. x = 0 is an extraneous solution. x = –1 is a solution. x = –6 is an extraneous solution.

Answers

Answer:A and C

Step-by-step explanation:

Answer:

I can confirm A and C are correct on edge

Solve for x. Round your answer to the nearest tenth. (one decimal place)

X=?? degrees

Answers

Answer:

Angle x is congruent with the interior angle opposite side 8 (alternate interior angles)

Use tangent:

tan x = 8/15x = arctan (8/15)x = 28.1° (rounded)

Find 5 rational numbers between 3/5 and2/3​

Answers

Answer:

The 5 rational are 91/150 , 92/150 , 93/150 , 94/150 , 95/150

Step-by-step explanation:

We have to fine 5 rational numbers between

3/5 and 2/3

First we have to make the denominator same

3/5= 3/5 ×3/3 = 9/15 =9/15×10/10 =90/150

2/3 = 2/3×5/5 = 10/15 = 10/15×10/10 = 100/150

The 5 rational numbers are

91/150 , 92/150 , 93/150 , 94/150 , 95/150

hope this helps :)

Simplify the expression.
2 + (​g​ + 5)

Answers

Answer is

7 +g

Step-by-step explanation:

2+5+g

=7+g

Answer:

g+7

Step-by-step explanation:

Have an amazing day!

Helppppp plzzzz I will mark brainliestttt

Answers

Answer:

it's a. ctxr6irx5ixtxtcycyd TY ibis4dyhugbyrobut

Element X is a radioactive isotope such that every 25 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of the element would remain after 23 years, to the nearest whole number?

Answers

50*(.5)^(23/25)=26.43

Answer: 26

Step-by-step explanation:

The correct answer is 26

first to get it correct will get brainleist! :) ASAP

Answers

The answer to this question is B. U’(0,-1)
are the ones on the side the answers ??

A:29
B:38
C:43
D:81
help with this??​

Answers

I’m pretty sure it 81

In the right triangle below, the length of AC is 30. What is the length of AB?

Answers

Answer:

No image

Step-by-step explanation:

Cora uses 6.2 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

Answers

Answer:She used 3.72 pints of blue paints for the wall

Step-by-step explanation:

Total Quantity of Blue and white paint =6.2 pints

Quantity  of White paint =2/ 5 x 6.2 pints = 2.48 pints

Quantity of blue paint =Total Quantity -Quantity  of White paint

=6.2 pints-2.48 pints

=3.72 pints

What is the mixed number of 2 1/5 and 5/9

Answers

Answer:

2 1/5 is the mixed number

Hope it helps!

:D

When you look at the two cylinders with these values of rand h, what do you notice about the proportions of the cylinders?

Answers

Answer:

One of the cylinders is short and wide, while the other is tall and thin.

Step-by-step explanation:

The diameter of a circle is 8 yards. What is the circle's circumference? Use 3.14 ​

Answers

[tex]\frac{3.14*8^2}{4} =\frac{200.96}{4} =50.24[/tex]

Answer:

25.13274 Yards

Step-by-step explanation:

C = 2pi times r

Circumference = 2pi times radius  

There will be 45 adults going to a museum. There will be twice as many students as adults. Adult tickets cost $25 each. Student tickets cost $12 each.

Part A: What is the total cost for students and adults?

Question 2
Part B: 10 more adults and 15 more students decide to attend the trip at the last minute. How much will cost increase?
Question 3
Part C: What is the total cost of the trip with the additional adults and students?

Answers

Answer:

=P

Step-by-step explanation:

- 2x+2y = -4
3х + Зу = -18
х =
y =

Answers

Answer: x= -2  y= -4

substitute the given values of x into the equation 3x+3y=-18

y substitute the given value of y into the equation x=2y

since all the equalities are true the ordered pair is the solution of the system

3. Seven teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 77 players on the field. Write and solve an equation whose solution is the number of players on each team.

Answers

Answer: equation: 7(x-2) = 77

answer: x=9

Step-by-step explanation:

PLEASE HELP ASAP PLEASE​

Answers

Answer:

rectangular pyramid

Step-by-step explanation:

there's a rectangle at the bottom & the triangle is a pyramid

It’s a Triangular Pyramid

Graph f(x)=-(4)^x see the images I have attached. Those are the graphs I can choose from!
If you could provide an explanation that would be great. Thank you

Answers

Answer: it is the one your cursor is on

Step-by-step explanation:

I just put it in a calculator and it showed me

predict the breaking weight for a bridge 6 layers thick? explain your reasoning​

Answers

Answer:

i think it would weigh 330 pounds because in each brick it weighs 55  pounds

Step-by-step explanation:

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Answers

it’s 49:36 if you multiply the dimensions by 6 and divide by the ratio


Andre's phone is 11.5 cm long. How many millimeters is this?

Answers

Answer:

about 115 millimeters

Step-by-step explanation:

Divide.

(x+4)(2x−5)(x−1)
----------------------
(x+1)(x+4)(2x−5)

Answers

Step-by-step explanation:

(x+4)(2x−5)(x−1)

----------------------c

(x+1)(x+4)(2x−5)

(x+4)^(1-1)(2x-5)^(1-1)(2x-5)^(1-1)

(x+4)°(2x−5)°(x−1)°

1×1×1

1

law of indices says that x²/x=x^(2-1)=x

Can you please help me....Thank you!

Answers

Answer:

#1

mean=7

median=8

range=9

mode=3

#2

mean=15

mode=17

range=14

median=14

#3

mean=11

mode=none

range=10

median=4.5

#4

mean=6

mode=4

range=13

median=4

Step-by-step explanation:

there you go, I think that's right but it's been awhile since I've had to do mode mean median and range

I need help with a math question. Plz help will mark Brainliest. Here is the link to the math picture.Oh and Find the Value of X

Answers

Answer:

the correct answer is B. hope this helped

plszzz help me asap schools done i need help pls hurry

Answers

Answer:

1. L=length W=width

(i dont know 2)

3. area

(let me know if this helps)

For #2 I think the answer is perimeter because that’s the formula used for it.

Has anyone else watched the 10th Kingdom?

Answers

Answer:

mhm!

Step-by-step explanation:

PLEASE HELPP Find the value of x. Assume that segments that appear to be tangent are tangent. Round your answer to the nearest tenth.

Answers

Answer:

5

Step-by-step explanation:

Which graph shows a dilation?

Answers

answer:

now correct me if i am wrong but i think that graph number one is the graph showing a dilation

now i totally forgot now to explain dilations in graphs but if you need anymore help, feel free to ask me!

hope this helps :)

The graph that shows a dilation is the graph on the left which is the 2nd option in the given figure.

A dilation is a transformation that changes the size of an object, but not its shape. The scale factor is a number that tells you how much the object is being enlarged or shrunk. A scale factor of 2 means that the object is being enlarged twice as large, while a scale factor of 0.5 means that the object is being shrunk to half its size.

The graph that shows a dilation is the graph on the left. The scale factor of the dilation is 2, so the object is being enlarged twice as large. The other two graphs do not show a dilation because the objects are being changed in shape.

The graph on the right shows a rotation of the square by 90 degrees. The graph in the middle shows a stretching of the square horizontally. Neither of these transformations are dilations because they change the shape of the object.

To learn more about graph here:

https://brainly.com/question/17267403

#SPJ2

Which of the following is the reciprocal of 7?

Answers

Answer:

1/7

Step-by-step explanation:

Answer:

Reciprocal of 7 is 7/1.

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