Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)

Answers

Answer 1

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)


Related Questions

Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.​

Answers

Answer:

Volume of big cylinder = 1,438.76 cm (Approx.)

Step-by-step explanation:

Given:

Height of smaller cylinder = 3 cm

Height of big cylinder = 6 cm

Volume of smaller cylinder = 30 cm³

Find:

Volume of big cylinder

Computation:

Volume of smaller cylinder = πr²h

(22/7)(r²)(3) = 30

Radius of small cylinder = 1.783 cm (Approx.)

So,

Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)

Volume of big cylinder = πr²h

Volume of big cylinder = (22/7)(3.566)²(6)

Volume of big cylinder = 1,438.76 cm (Approx.)

Bruce drewa scale of a resturaunt the scale he used was 1 milimeter 10 meters the resteraunt kitchen is 3 milimeters long in the drawing how long is the actual kitchen

Answers

Answer: 30 meters.

Step-by-step explanation:

Since the scale used by Bruce in the drawing that she made is:

1 milimeter = 10 meters

If the restaurant kitchen is 3 milimeters long in the drawing, the length of the actual kitchen will then be:

1/3 = 10/x

Cross multiply

1 × x = 3 × 10

x = 30

Therefore, the actual length is 30 meters.

Percy wrote a total of 15 pages over 5 hours. After spending 6 hours writing this week, how many pages will Percy have written in total? Assume the relationship is directly proportional. pages

Answers

15 pages in 5 hours equals 3 pages in 1 hour
6 times 3 equals 18

he wrote 18 pages this week

A plane traveled 1092 miles to Riyadh and back. The trip there was with the wind. It took 6
hours. The trip back was into the wind. The trip back took 7 hours. Find the speed of the plane
in still air and the speed of the wind.

Answers

Answer:

Step-by-step explanation:

p and s was are the speeds of the plane and wind, respectively.

Traveling with the wind, the plane moves p+w miles per hour.

p+w = (1092 miles)/(6 hours) = (182 miles)/hour

Traveling against the wind, the plane moves p-w miles per hour.

p-w = (1092 miles)/(7 hours) = (156 miles)/hour

Add the equations together

p+w = 182

p-w = 156

—————-

2p = 338

p = 169 miles per hour

w = p-156 = 13 miles per hour

4) x/5 =2
plz explain

Answers

Step 1: Multiply both sides by 5.

4x = 2
5
(4x) * (5) = (2) * (5)
5

4x = 10

Step 2: Divide both sides by 4.

4x = 10
4 4

Answer:

x = 5
2

Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Answers

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

Spider Rock is located in Canyon de Chelly National Park in Arizona. A surveyor stands 370 feet from the base of Spider Rock. From a point 5.5 feet above the ground, he measures the angle of elevation to the top of Spider Rock to be 65°. According to the surveyor's measurements, what is the height of Spider Rock? Round your answer to the nearest tenth. A. 178.0 ft. B. 340.8 ft. C. 413.7 ft. D. 799.0 ft.

Answers

Answer:

799 feet

Step-by-step explanation:

We solve using the Trigonometric function of Tangent.

tan theta = Opposite /Adjacent

From the above question, we have the height of the surveyor = 5.5 feet

theta = Angle of elevation = 65°

Adjacent = 370 feet

Let Opposite = height + height of spider rock

tan 65° = h - 5.5 /370 feet

Cross Multiply

tan 65° × 370 feet = h - 5.5

793.46756059 feet = h - 5.5

h = 793.46756059 feet + 5.5

h = 798.96756059 feet

Approximately = 799 feet

The height of the Spider rock = 799 feet

Which expression is not a polynomial?

Answers

12 is not a polynomial

Help me out here plz

Answers

Answer:

I think that it would be [tex]28^{2}[/tex] cm

Step-by-step explanation:

8 x 7 = 56

56/2 = 28

What is the area of the trapezoid below?

Answers

Answer:

A = 180 units²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

The triangle on the left is right with h = 24 (7- 24- 25 triangle )

Here h = 24, b₁ = 4 and b₂ = 7 + 4 = 11 , then

A = [tex]\frac{1}{2}[/tex] × 24 × (4 + 11) = 12 × 15 = 180 units²

the product of 5 and a number X is 22
i dont need what it equals

Answers

Inverse operations to the rescue!

So, you'd perform 22÷5 (product signals multiplication) to get your answer, 4.4. x=4.4

Three friends were helping to push a car. If all three are pushing equally hard and the net force is 600N, how hard is each one pushing the car?

Answers

Answer:

One person is pushing the car in the net force of 200N

Step-by-step explanation:

600 divided by 3 (600 N in total, and 3 person pushing.)

can someone that is good at 7th grade math help me plzzzz

Answers

Answer:

-4 *-4 *-4

= 16*-4

= ANWSER

-9*-9

=81

Step-by-step explanation:

Solve the right triangle. Round decimal answers to the nearest tenth.
B
14
6
А
b
С
In AABC, ~ .mA
7, and m_B~

Answers

Answer:

b=12.6

m<A=25.4

m<B=64.6

Rewrite the expression in the form k*x^n

(16/x^3)^1/4

Answers

Answer:

2*x^(3/8)

Step-by-step explanation:

Answer:

2*x^(3/8)

Step-by-step explanation:

khan

**EASY**

Determine the intercepts of the line -

2x + 5y = -6


Y-intercept: (_ , _)

X-intercept: (_ , _)

Answers

The answer is
X intercept : -3,0
Y intercept: 0, -6/5
The answer is y-intercept: (0, -6/5) and X-intercept: (-3, 0)

How much will the monthly payment be for a 2 year old used car that's is priced at 13995 of the current finance rate is 48 months at 4.36% ? You will finance the 8% tt&l and make a 30% down payment

Answers

Answer:that’s a tough one

Step-by-step explanations just need some credit on brainly

Find the 53rd term of the arithmetic sequence -12, -1, 10

Answers

440 is the answer

Tn=a+(n-1)d

Tn=53

a= -12

n=53

d= 11

-12+(53-1)11 = 440

Answer:

560

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

Since we're finding the 53rd term

a = - 12

n = 53

d = -1 - ( -12) = - 1 + 12 = 11 or 10--1 = 10 +1 =11

d = 11

So we have

A(53) = - 12 + (11)(53 - 1)

= - 12 + 11(52)

= -12 + 572

= 560

We have the final answer as

560

Hope this helps you

A rectangular prism has a length of 4 inches, a height of 5 inches, and a width of 19 inches. What is its volume, in cubic inches?

Answers

Answer:

380 cubic inches

Step-by-step explanation:

The basic formula is length x width x height, so it's pretty simple, you just do 4 x 19 x 5! The order doesn't matter as long as it's just the length worth and height

I, sometimes do length x width, then use the answer for that and multiply it by the height (So that I can break it down)

Subtracting fractions with unlike denominators

Answers

improper fraction - 37/15 or mixed fraction - 2 7/15

What is the equation of this

Answers

Answer:

it's correct

Step-by-step explanation:

Use the net to find the surface area of the rectangular prism

Answers

Answer:

52

Step-by-step explanation:

Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize? contestants Submit Type the answer please or don't do it​

Answers

8/10 to find the probability of winning.
8/10 = 0.8
then multiply this by the number of contestants
0.8 * 20
this gives 16

Please help im lost..

Answers

Answer:

c

Step-by-step explanation:

Help me please and thank you x

Answers

hope this helps:

x is 10 degrees...

X is 30 degrees ........

2>10+4n how would you graph this

Answers

2>10+4n
-8>4n
-2>n
Answer is n<-2
Your point -2 should be an open circle on the graph and the arrow should be pointing to the left

please help me figure this out!!

Answers

Do you have a Ti-84 calculator you need one to solve this problem.

What is the equation of the line with slope −3 and y-intercept 6? Express your answer in slope-intercept form.

A. y = 3x + 6
B. y = −3x − 6
C. y = −3x + 6
D. y = 3x − 6

Answers

Answer:

C. y = -3x +6

Step-by-step explanation:

y = mx + b

m= slope = -3

b = y-intercept = 6

y = -3x + 6

what is the prime factor of 4400 by tree method

Answers

Answer:

The orange divisor(s) above are the prime factors of the number 4,400. If we put all of it together we have the factors 2 x 2 x 2 x 2 x 5 x 5 x 11 = 4,400. It can also be written in exponential form as 24 x 52 x 111.

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Please thank me on my profile if this answer has helped you!

Which two of the following have the same value as 50.96?
Choose 2 answers:

Answers

Answer:

A and C

Step-by-step explanation:

A: 5 tens = 50

9 tenths = 0.9

6 hundreths = 0.06

= 50.96

C: 5*10 = 50 + 9 * 1/10 = 0.9 + 6 * 1/100 = 50.96

Other Questions
Find the perimeter of the following triangle.Write your answer as a mixed number in simplest form.Be sure to include the correct unit in your answer.1/7/18 yd5/12 yd1/2/9 yd [100 POINTS!!!!] Complete sections 4, 5, and 6. Make sure you do all the questions! There are two images attached to this question, look over them and put what you have in your answer. Any improper or just plain dumb questions will be reported, so answer wisely! Find the value of x in the triangle below Larson uses his credit card to purchase a new video game system for $519.82. He can pay off up to $225 per month. The card has an annual rate of 15.4% compounded monthly. How much total interest will he pay? How are the spheres related? LEVEL 3Write the correct orderof letters to the finish line.A E B E CExample:ABCGHGHNezaNot correct please help and if u put a link i stg A CD usually sells for $18.00. If the CD is 10% off, and sales tax is 7%, what is the total price of the CD, including tax?A. $18.30B. $17.33C. $17.46D. $17.50 Women in the early 20th Century were fighting for suffrage. What is suffrage?the right to go to schoolthe right to own landthe right to votethe right to work in any profession Most of the Army Reserve soldiers who were convicted of mistreating prisoners at Abu Ghraib: Group of answer choices were poorly trained and inexperienced, with no awareness of Army regulations covering civilian detainees or prisoners-of-war. had extensive training in Arabic language and culture before arriving in Iraq. were members of the Army military police and had served in other war zones before arriving in Iraq. had been part of the Stanford Prison Experiment before enlisting in the Army National Guard. 3a=a+36 find the value of a Write this word sentence as an equation. 82 is the difference of a number b and 24 can someone plz make at least 1 paraghragh about Why were these figures important to the Civil Rights Movement?These Civil Rights Leaders were important because.....BEST ONE GETS BRAINLIEST PLZ I NEED THIS I NEED HELLLLLLLPPPPPPP? SHOW WORK PLSSSSSS IF WORK IS NOT SHOWN I WILL REPORT YOU! SO WATCH OUT! What is the equation of the line shown in the graph? Please answer I will mark brainliest Please help The position of masses 4kg, 6kg, 7kg, 10kg, 2kg, and 12kg are (-1,1), (4,2), (-3,-2), (5,-4), (-2,4) and (3,-5) respectively. Determine the position of the center of mass of this system? A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance. Milton purchases a 7-gallon aquarium for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart.How many times will Milton fill and empty the container before the aquarium is full?Milton will fill and empty the container __ times. How does Shakespeare demonstrate to the audience that Romeo and Juliet are indeed in love after Act 1 scene 5?