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
LekaFEV [45]
2 years ago
14

The midpoint of GH is M( 6,-4). One endpoint is G(8,-2). Find the coordinates of endpoint H.

Mathematics
1 answer:
Finger [1]2 years ago
3 0

Using the midpoint formula, the coordinates of endpoint H are (4, -6).

<h3>The Midpoint Formula</h3>

The midpoint formula is given as: (x_m, y_m) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} )

<em>Where</em>,

(x_m, y_m) = coordinates of the midpoint

(x_1, y_1) = coordinates of the first point

(x_2, y_2) = coordinates of the second point

Given the following:

(x_m, y_m) = M( 6,-4)

(x_1, y_1) = G(8,-2)

(x_2, y_2) = H(?, ?)

Plug in the values into the midpoint formula

M(6, -4) = (\frac{8 + x_2}{2}, \frac{-2 + y_2}{2} )

Solve for the x-coordinate and y-coordinate separately

6 = \frac{8 + x_2}{2}

  • Multiply both sides

6 \times 2 = 8 + x_2\\\\12 = 8 + x_2\\\\12 - 8 = x_2\\\\4 = x_2\\\\\mathbf{x_2 = 4}

-4 = \frac{-2 + y_2}{2}\\\\-8 = -2 + y_2\\\\-8 + 2 = y_2\\\\-6 = y_2\\\\\mathbf{y_2 = -6}

Therefore, using the midpoint formula, the coordinates of endpoint H are (4, -6).

Learn more about midpoint formula on:

brainly.com/question/13115533

You might be interested in
carisa and amy went to a restaurant. carisa's meal cost $5.92. amy's meal cost $6.46. they gave the waiter the bills shown above
adelina 88 [10]

Answer:

54 cents

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Determine the equation of the parabola shown in the diagram in factored form. (check picture below)
krok68 [10]

Answer:

(x+1)(x-3)

Step-by-step explanation:

A quadratic in factored form is usually expressed as: a(x\pm a)(x \pm b) where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: a(x+1)(x-3). Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)

I'll use the point (1, -4) the vertex

-4 = a(1+1)(1-3)

-4 = a(2)(-2)

-4 = -4a

1 = a. So yeah the value of a is 1

So the equation is just: (x+1)(x-3)

6 0
2 years ago
If m angle BGF=152 degrees, what is m angle AGF
Allushta [10]

The Answer is: 64 degrees

4 0
3 years ago
Read 2 more answers
Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas
Olin [163]
Hi, so first u have to multiple 12×6=72 then next u divide by 2 which must five u a food start
6 0
2 years ago
Bogart has 150 stamps. 30% of them are from Africa. How many stamps are from Africa?
ira [324]

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

8 0
2 years ago
Other questions:
  • The product of a number and four is subtracted from three to give forty seven
    8·1 answer
  • If 8x=4<br><br>What is 2+12x?
    13·1 answer
  • Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.
    13·2 answers
  • If you buy six pens and one mechanical pencil, it will cost $9. If you buy four pens and two mechanical pencils, it will cost $8
    12·1 answer
  • What is the elapse time for start time. 3:48 pm to end time : 8:11 pm?
    7·1 answer
  • PLEASE HELPPP!!!!
    14·1 answer
  • Find the sales tax....
    13·1 answer
  • Which of the following equations has a slope of -3 and a y-intercept of 8? *
    8·1 answer
  • What is the slope of the equation?<br><br> y = -1/3x + 3
    6·2 answers
  • 10=7-m<br> h+6/5 =2<br> 6+5(m+1)=26
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!