Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (-24,15), endpoint (- 15,13) The other endpoint is (Type an ordered pair.)​

Answers

Answer 1

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) and ([tex]x_{2}[/tex], [tex]y_{2}[/tex]) is

[tex](x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})[/tex]

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ [tex]x_{1}[/tex] = -15 and [tex]x_{2}[/tex] = x

∴ [tex]y_{1}[/tex] = 13 and [tex]y_{2}[/tex] = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ [tex]x_{M}[/tex] = -24 and [tex]y_{M}[/tex] = 15

→ Use the rule of the mid-point to find x and y

∵ [tex]-24=\frac{-15+x}{2}[/tex]

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

-33 = x

∵ [tex]15=\frac{13+y}{2}[/tex]

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

17 = y

The other endpoint is (-33, 17)


Related Questions

find the value of b if a+b+c/4=2 where a = 1 and c=2​

Answers

Answer:

b = 5

Step-by-step explanation:

Solving

Step 1: Plug in the values of a and c.

[tex]\frac{1+b+2}{4} =2[/tex]

Step 2: Combine like terms on both sides.

[tex]\frac{(2+1)+b}{4}=2[/tex] [tex]\frac{3+b}{4}=2[/tex]

Step 3: Multiply both sides by 4.

[tex]\frac{3+b}{4} *4 = 2*4[/tex] [tex]3+b=8[/tex]

Step 4: Subtract 3 from both sides.

[tex]3+b-3=8-3[/tex] [tex]b=5[/tex]

Step 5: Check if solution is correct.

[tex]\frac{1+5+2}{4} = 2[/tex] [tex]\frac{8}{4} =2[/tex] [tex]2=2[/tex]

Have a lovely rest of your day/night, and good luck with your assignments! ♡

1+b+2/4 =2
3+b/4 = 2
3+b =8
b=5

i need now help me i need help​

Answers

Answer:

9.53333333333

Step-by-step explanation:

* = x so you multiply

Answer:

3 2/3= 11/3

2 3/5= 13/5

11/3*13/5

143/15

9 8/15

Step-by-step explanation:

you have to change it to an improper fraction first

PLEASE HELPPP!!! ASAPPP
WILL GIVE 20 POINTSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 of 5
Which inequality is true?
A. 1+ 7 < 10
B. 9/3n > 1
C. n-3> 1
D. 9n> 27

Answers

Answer:

you got it.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Substitute 3.14 in place of 'pie' every equation to check

Write/simplify an expression of the total value if jake has 20 coins

Answers

Answer:

20

1

20 firsts

Which inequality is true when the value of s is 14?

Answers

Link an image?

There's nothing here.

Janelle plants 14 carrot plants for every 6 tomato plants in her garden. What is the ratio of carrot plants to total plants in Janelle’s garden?

Answers

Answer:

14:20 or 7:10

Step-by-step explanation:

The ratio of the carrots to tomatoes is 14:6 therefore if she plants 20 vegetables, she'll have 14 carrots and 6 tomatoes. Therefore the ratio of carrots to the total plants is 14:20 which is equal to 7:10

The measure of angledcg is 145°. point c has four lines extending from it. one line extends to point d, another extends to point e, another extends to point f, and another extends to point g. angle e c f is 20 degrees. angle f c g is 25 degrees. what is mangledce? 90° 100° 180° 190°

Answers

The measure of ∠DCE is 170°.

∠ECF = 20°

∠FCG=25°

∠GCD=145°

Suppose ∠DCE = x

What is the sum of all angles at a point?

The Sum of all angles at a point is 360°.

∠ECF +∠FCG+∠GCD+∠DCE =360°

20+25+145+x =360

x =170°

∠DCE = 170°

Therefore, the measure of ∠DCE is 170°.

To get more about angles visit:

https://brainly.com/question/24024505

Answer:

100 degrees

Step-by-step explanation:

the above answer is wrong i am right on edge 2022

help? will give brainlist.

Answers

Answer:

3x+63+94+2x+7 = 360

5x+164 = 360

5x = 196

x= 39.2

Step-by-step explanation:

3x+63+94+2x+7 = 360

5x+164 = 360

5x = 196

x= 39.2

A farmer has 540 m of fencing to enclose a
rectangular area and divide it into two sections as
shown.
a) Write an equation to express the total area
enclosed as a function of the width.
b) Determine the domain and range of this area
function.
c) Determine the dimensions that give the
maximum area.

Answers

The dimensions that give the maximum area is 135 m by 135 m for a rectangular area with 540 m of fencing

What is an area?

An area is the amount of space occupied by a two dimensional shape or object.

Let w represent the width and l represent the length, hence:

540 = 2(l + w)

l = w - 270

The area (A) is:

A = length * width

A = w(w - 270) = w² - 270w

The domain of the function is (270, ∞), the range is (0, ∞).

The maximum area is at dA/dw = 0, hence:

2w - 270 = 0

w = 135 m, l = 270 - w = 135 m

The dimensions that give the maximum area is 135 m by 135 m

Find out more on area at: https://brainly.com/question/25292087

What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28. 2 and GF is 45. 8. Angle GFE is given as 90 degrees

Answers

Answer:

Step-by-step explanation:

ion even kno fr big dawg but imma go with 30.9

C(n)= -9/2(-4/3)^n-1 what is the second term in the sequence

Answers

Answer:

c²=8

Step-by-step explanation:

You must substitute 2 in for the variable "N" and calculate

The frame for a garage roof is an equilateral triangle. The width of the garage is 12 feet. How tall is the garage roof?

Answers

Should showed the picture. Basically since it is a equilateral triangle is with all three sides of equal length. Soooooo since it had to be equal shouldn’t it be 12 fr tall?

An incident ray of light strikes water at an angle of 30°. The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33. What is the angle of refraction rounded to the nearest whole number? 22° 24° 30° 42°.

Answers

The measure of the angle of refraction is 22 degress, the correct option is A.

What is the angle of refraction?

The angle made by a refracted ray with a perpendicular to the refracting surface.

Given

An incident ray of light strikes water at an angle of 30°.

The index of refraction of air is 1. 0003, and the index of refraction of water is 1. 33.

In order to determine the angle of the refracted ray, we may apply Snell's law, which states that the ratio of the sines of the angles of incidence and refraction is constant for a given wave when it passes through two different media.

The angle of the refraction is given by;

[tex]\rm 1.0003 \times sin(30) = 1.33 \times sin(\phi)\\\\ \rm 1.0003 \times 0.5 = 1.33 \times sin(\phi)\\\\Sin\phi=\rm \dfrac{1.0003 \times 0.5 }{1.33}\\\\Sin\phi=0.37\\\\\phi = 22[/tex]

Hence, the measure of the angle of refraction is 22 degress.

To know more about angle of refraction click the link given below.

https://brainly.com/question/4084792

Answer:

The angle of refraction is 15°.

Step-by-step explanation:

2.0 x 10-3
divided by 8.0 x 10

Answers

Answer:    0.2125

PLz mark brainliest:)

Which of the following results in the expression 0.22 x 86?
22 of 86%
22% of 86
86% of 0.22
0.86 of 22%

oH saVe mE sisTerS

Answers

Answer:

22% of 86

Step-by-step explanation:

22% = 0.22

0.22 × 86

Write an equation for the proportional relationship shown in the table.
x 0.5 1 1.5 2
y 27 54 81 108

Answers

Answer:

y = 54x

Step-by-step explanation:

→ Divide one y value by its corresponding x values

27 ÷ 0.5 = 54

HELP ASAP!!!!!! 65 POINTS!!!

Answers

Answer:

CD =7.5 AC =20

Step-by-step explanation: you can answer this question by creating a proportion. For the side AB, we can find the total length by adding AE and EB, for a total of 8. Now we can build a proportion, where x equals AC. 12.5/x= 5/8. When you build a proportion, it’s important to make sure you use the same corresponding parts in the same places, for example, in both the fractions we made for the proportion, the total side length was on the bottom. From this proportion, we now cross multiply to get 5x=100. Divide both sides by 5 and you get that the length of AC is 20. We can do the same with CD. The proportion you’d use to find CD would involve the smaller line segment over the total length of the line. This would look like so: x/20=3/8. Cross multiply again and you’d get 60=8x. Divide both sides by 8 and you’d get x=7.5. This means the length of CD is 7.5.

Answer:

Hello!

Step-by-step explanation:

I assume that you have your answer by now so if you don't mind I need some points.

Have a fantastic day!!!

The mode,media,median in
6, 18, 10, 3, 9, 2, 6, 4, 5, 7?

Answers

Answer:

MODE = 6MEDIAN =  6MEAN = 7Step-by-step explanation:MEDIAN = 2,3,4,5,6,6,7,9,10,18(ASCENDING ORDER)THEN CANCEL 1ST AND LAST:6+6/2=6MEAN=6+18+10+3+9+2+6+4+5+7/10=7

Answer:

mode: 6

median:6

mean: 7

range:16

Step-by-step explanation:

Find ABC
need help asap pls
will give brianliest

Answers

Answer: 79 degrees

Step-by-step explanation:

what is 98x100+5-23+15

Answers

Answer:

9,797

Step-by-step explanation:

98 x 100 = 9,800

9,800 + 5 - 9,805

9,805 - 23 = 9,782

9,782 + 15 = 9,797

I WILL GIVE BRAINLIEST AND THANKS!! PLEASE SOMEONE HELP also ignore the answers i already wrote down

Answers

Answer:

1. Plane (anything you want after that) or parallelogram

2. point b

3. line UV

4. point x and point y

5. line cd

6. point p r and q also has a plane that is not named

7. line rs

8. point k point m point n has a plane that is not named.

9. point t point u point v

Step-by-step explanation:

That's what they are.

Answer:

1. Plane

2. Point B

3. Line UV

4. point xy

5. line CD

6. point PRQ

7. line RS

8.Point KMN

9. Point TUV

Brainliest please

Create a math problem that involves number 5 fractions


PLA HELPPPP

Answers

Are these good?? 1/5 plus 10/5 times 5/5 plus 7/5 divide 3/5

1/5 (x - 8) equals x - 16 ​

Answers

Answer:

I have no idea if you are saying that x=16. If it does the answer is 8/5

Answer:

x-8=5x-80

8+80=5x-x

88=4x

x=88/4

x=22

“Deandre will donate up to $500 to charity. The money will be divided between two charities: the City Youth Fund and the Educational Growth Foundation,
Deandre would like the famount donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund. Let x denote
the amount of money (in dollars) donated to the City Youth Fund, Let y denote the amount of money (in dollars) donated to the Educational Growth Foundation,
Shade the region corresponding to all values of x and y that satisfy these requirements” please help I’ve been stuck on this forever.

Answers

Answer:

$375 to Educational Growth Foundation

Step-by-step explanation:

$125 to City Youth Fund

Hope this helps.

HELP PLEASEEEEE will choose brainiest answer

Answers

Answer:

15x -4 = 11x       and          4x+5=9x

9 timees11 = 20x

Step-by-step explanation:

20x for first anwer

thank me later emmitheblackbobcat

Answer:

I can't understand the person above. but by looking at his results; they are equivalent to mine for this question.

View the screenshot and answer please. 20 points will give brainliest!

Answers

Answer:

Right angle triangle goes to 15m, 8m, 17m

Step-by-step explanation:

Square root of 15^2 + 8^2 is 17

(The use of a^2 + b^2 = c^2 - Pythagoras's Theorem)

So, 10m ,11m ,15m isn't a right angle triangle

Hope this helps!

please help meeee i don’t understand

Answers

The answer is A) SSS (side-side-side)

The triangles sides are equal and congruent.

2.
Which of the following is the common difference of the arithmetic
sequence 4, 7, 10, 13, ...?
0
b. 1
c. 2
d. 3
a.
What is the correct answer​

Answers

D. 3 because 4+3 equals 7 .. 7+3 equals 10 , 10 + 3 equals 13 .

OeowowowkwiHELP ASaPieisowowiiwiwiwiiwiwisnsnsnxxj

Answers

Answer:

5

Step-by-step explanation:

40÷[20-4*(7-4)]

Start with the inner most parentheses

40÷[20-4*(3)]

Then the brackets, multiply first

40÷[20-12]

Then subtract

40÷[8]

We are now left with the division

5

y=-4/3x
Give the slope and y-intercept

Answers

Answer:

Slope=-4/3.    Y-intercept=0

Step-by-step explanation:

Y=Mx+B

Y=-4/3x+0

Y=-4/3x Hope it helps!
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