Mathematics High School

if the midpoint is (2,-14) and the endpoint is (4,-13) what is the other endpoint? solve using the midpoint formula

Answers

Answer 1

Given:

Coordinates of the midpoint = (2,-14)

Coordinates of one endpoint = (4,-13)

To find:

The coordinates of the another endpoint.

Solution:

Let us assume (a,b) be the another endpoint.

According to the midpoint formula:

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

By using the midpoint formula, we get

[tex](2,-14)=\left(\dfrac{a+4}{2},\dfrac{b+(-13)}{2}\right)[/tex]

[tex](2,-14)=\left(\dfrac{a+4}{2},\dfrac{b-13}{2}\right)[/tex]

On comparing both sides, we get

[tex]2=\dfrac{a+4}{2}[/tex]

[tex]4=a+4[/tex]

[tex]4-4=a[/tex]

[tex]0=a[/tex]

And,

[tex]-14=\dfrac{b-13}{2}[/tex]

[tex]-28=b-13[/tex]

[tex]-28+13=b[/tex]

[tex]-15=b[/tex]

Therefore, the another end point is (0,-15).

Related Questions

A cookie recipe called for 2 ½ cups of sugar for every
⅖ cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need?

Answers

Answer:

You would need 6 1/4 cups of sugar.

Can somebody please answer this

Answers

It would be c that is the answer

Solve for the variable.
8x - 32
4
8
24
32
40
328

Answers

Answer:

8

Step-by-step explanation:

Which equation represents the partial sum of the geometric series?

Answers

option 2 would be the answer

Option 2 is the correct answer

Step-by-step explanation:

Just completed this one and ot it correct.

Mrs. Sing invests $12,876 for her business at an annual interest rate of 7 percent for 3 years. Which number will Mrs. Sing substitute for r in the simple interest formula?

I = p r t
0.007
0.07
0.7
7

Answers

Answer:

0.07=7% interest

Step-by-step explanation:

What is the slope of the line y = -5x +1 ?

Answers

Answer:

-5

Step-by-step explanation:

Remember the slope intercept form:

y = mx + b

m = Slope value

b = y-intercept

So in this case,

y = (-5)x + b

m = -5

b = 1

Thus the answer is -5

Plz help meeeee

3²⁴ = 3¹²x (x is in power)


​

Answers

Answer:

x=3

Step-by-step explanation:

You have to multiply exponents.

Answer:

2

Step-by-step explanation:

The only way this will be true is that both 3's on either side are raised to the 24th power, and in order to make the 12 a 24 you must multiply it by 2, so x is 2

Choose the graph of the inequality x > -4

Answers

Answer:

d

Step-by-step explanation:

because it is any number greater than-4

Answer:

A

Step-by-step explanation:

When using substitution, what does the equation look like after the 1st step ?

y = 6x +3

x + 2y = 5

Answers

Answer:

Step-by-step explanation:

y = 6x + 3   --------------(I)

x + 2y = 5       -------------(II)

substitute y = 6x + 3 in equation (II)

x + 2*(6x + 3) = 5

x + 2*6x + 2*3 = 5

x + 12x + 6  = 5

     13x + 6 = 5

4. Simplify: (xy3).(xy)4
A. x2 y7
B. X4 y12
c. x5y7
D. x5y12
Help meeee!!!!

Answers

It should be letter C if not lmk

Help plz why is nobody helping me i asked this question too much times
1. 1 3/4 + 1/6 + ____ = 7 1/2

2. 8 4/5 - 2/3 - _____ = 3/ 1/10

Answers

Answer:

6 5/12 and 5 1/30

Step-by-step explanation:

Just simplify both sides of the equation.

1 3/4 + 1/6 +    x      = 7 1/2 ---> 1 11/12 +   x   =7 1/2

then subtract the 1 11/12 from both sides

x = 6 5/12

circumference of a car tire is 113.1 inches find the diameter of the tire. find the diameter of the tire to the nearest tenth of an inch

Answers

Answer:

36

Step-by-step explanation:

Answer:

diameter = 36 inches

Step-by-step explanation:

diameter = circumference / π

diameter = 113.1/3.14 = 36 inches

Mary would like to join the track team. At the end of the first week of practice, Mary could run a lap in 2 minutes and 5 seconds. At the end of the second week of practice, Mary could run a lap in 1 minute and 58 seconds. After another week of practice, Mary could run a lap in 1 minute and 51 seconds. Mary continued to practice.

Answers

Answer:

1 minute and 44 seconds... 1 minute and 37 seconds. a pattern of -7 seconds

What is the value of z?

Answers

Step-by-step explanation:

sin 45°=opp/hyp

1/root 2= 4/z

z=4 root 2

Mhanifa please help this is hard! Find the indicated measure. Explain your reasoning. I will mark brainliest! Random answers will be reported.

Answers

Answer:

AD = 20

PQ = 14

Step-by-step explanation:

AD is congruent and corresponds to CD

CD = 20, so AD = 20

PQ is congruent and corresponds to RQ

RQ = 14, so PQ = 14

Plz mark as brainliest if this helped! Have a nice day!!!

-Lil_G

Answer:

AD = 20PQ = 14

Step-by-step explanation:

4.

Given

AC⊥BDAB = BCBD = BD as common side

As per above we have ΔABD≅ΔCBD

AD and CD are equal as corresponding sides of congruent triangles

AD = CD = 20

6.

Given

∠PSQ≅∠RSQPQ⊥SQ and RQ⊥SQSQ = SQ as common side

As per above we have ΔPSQ≅ΔRSQ

PQ and RQ are equal as corresponding sides of congruent triangles

PQ = RQ = 14

I AM SO THANKFUL IF YOU HELP MEE!!!

Answers

Answer:

Step-by-step explanation:

i think its D

The answer is 14 (D)

seven times a certain number is 226. What is the number? show your work

Answers

Answer:

32.2857142

Step-by-step explanation:

226/7 = 32.29

7 times 32.29 = 226

Answer:

Step-by-step explanation:

Let the number be 'x'

Seven times a number = 7 *x = 7x

7x = 226

Divide both sides by 7

7x/7 = 226/7

[tex]x = 32\frac{2}{7}[/tex]

8 + (7 + 1)2 + 4
Can you help me find the answer to this one.

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

8+(7+1)2+4=

8+(8)×2+4=

8+16+4=

28

ps:Can I be brainliest.Have a nice day.Best regards

pleaseeee helpppp i’m not sure what this one is also please explain thanksss

Answers

I think acute but I’m really not sure

R15,50 for 5kg , how much for 1 kg​

Answers

Answer and Step-by-step explanation:

Divide both numbers by 5kg to know how much R is for 1 kg.

[tex]\frac{15.50}{5}[/tex] = 3.1.

It is 3.1 for 1 kg.

#teamtrees #PAW (Plant And Water)

At the theater, the Seward family bought 2 adult tickets and 3 children's tickets for $44.50. The Sena family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a child's ticket.

Answers

Answer:

Adult ticket is $7.5 while a child's ticket is $11

Step-by-step explanation:

Given data

Let the cost of an adult ticket be x

and the cost of a child ticket be y

The Seward family

2x+3y= 44.50---------1

The Sena family

3x+6y= 78-------------2

solve 1 and 2

2x+3y= 44.50   X2

3x+6y= 78        X1

   4x+6y= 89

- 3x+6y= 78

  x+ 0= 11

x= 11

put x= 11 in 1

2x+3y= 44.50

2*11+3y= 44.5

22+3y=44.5

3y= 44.5-22

3y= 22.5

y= 22.5/3

y= 7.5

Hence Adult ticket is $7.5 while a child's ticket is $11

Write an equation in point-slope form of the line through point J(9,-8) with slope 2. y + 8 = 2(x 9) b. y + 8 = 2(3-9) 1 + 8 = 2(x +9) d. 1 - 8 = 2(x + 9)​

Answers

Answer:

y +8= 2(x-9)

Step-by-step explanation:

What is the value of x? (Look at picture)

Answers

Answer:

1.03 i think

Step-by-step explanation:

I need help with this problem :)

Answers

Answer:

[tex]48 \times \frac{8}{2} 6[/tex]

Answer:

a. 1/9

b. a³/b

c. [tex]y^{4}[/tex]

d. 5⋅[tex]10^{-3}[/tex] = 0.005

Step-by-step explanation:

HELP PLEASE

If b/8 = b+8/8, then 2/7 = ?

Answers

Answer:

2+7/7

Step-by-step explanation:

i think tell me if im wrong

A fish tank that holds 80 gallons of water is 55% full. How many
gallons are in the tank now? How many more gallons are needed to fill the
tank?

Answers

Answer:

44 gallons in tank now

36 more gallons needed

Step-by-step explanation:

55% of 80 = 44

Find an expression which represents the difference when (-8+y) is subtracted from (-5-8y) in simplest terms

Answers

Answer:

88

Step-by-step explanation:

10 plus 70 plus 2 plus 6 =88

for the system {3x-2y=4, 4x-3y=7,
which is the solution to the system?
A. (-2, -5)
B.(2, -5)
C.(-2,5)
D. (2,5)

Answers

Answer:

x=-2 y=-5

Step-by-step explanation:

If f(x) = 4x-3, what is f(x)=^-1?

(Check photo for answer choices)

Answers

Hi the answer is
The four choice
Are a good day

What is an equation of the line that passes through the points (4, -7) and (-4,5)? Put your answer in fully reduced form.​

Answers

Answer:

m=(y2-y1) / x2-x1

4-(-4)=8

5-(-7)=12

12/8

Step-by-step explanation:

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