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
Y_Kistochka [10]
3 years ago
12

The midpoint of \overline{\text{AB}}

Mathematics
1 answer:
Schach [20]3 years ago
4 0

Answer:

<em>The coordinates of b are: B=(-7,-8)</em>

Step-by-step explanation:

We are given the coordinates of the midpoint of \overline{\text{AB}} as M=(-5,-2).

We are also given the coordinates of A=(-3,4). The question requires us to calculate the coordinates of the other endpoint B.

Let (xb,yb) the coordinates of B. The coordinates of the midpoint can be calculated as follows:

\displaystyle x_m=\frac{x_a+x_b}{2}

\displaystyle y_m=\frac{y_a+y_b}{2}

We know xa=-3 and xm=-5. Solve the first equation for xb:

2x_m=x_a+x_b\Rightarrow x_b=2x_m-x_a

Substituting:

x_b=2\cdot (-5)-(-3)=-10+3

x_b=-7

We can solve the second equation for xb and get:

y_b=2y_m-y_a

Since ya=4 and ym=-2, then:

y_b=2\cdot (-2)-(4)=-4-4

y_b=-8

Thus, the coordinates of b are: B=(-7,-8)

You might be interested in
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%20%2B%202%7D%7B%20%7Bx%7D%5E%7B2%7D%20-%209%20%7D%20%20%5Ctimes%20%20%5Cfrac%7B
OlgaM077 [116]

Answer:

\frac{1}{(x-3)(x-2)}

Step-by-step explanation:

Factorise the denominators of both fractions

x² - 9 and x² - 4 are both differences of squares and factor as

x² - 9  = (x - 3)(x + 3) and x² - 4 = (x - 2)(x + 2), thus express as

\frac{x+2}{(x-3)(x+3)} × \frac{x+3}{(x-2)(x+2)}

Cancel the factors (x + 3) and (x + 2) from the numerators/denominators of both fractions leaving

\frac{1}{(x-3)(x-2)}



7 0
3 years ago
4 A nurse is administering pain medication to
arlik [135]
The nurse should administer to the patient H. 487.5 miligrams
7 0
2 years ago
Write 0.87 as a fraction
Deffense [45]

0.87 = 87/100 <=== this is the fraction


3 0
3 years ago
Read 2 more answers
I need the anwers to both question A and B
OlgaM077 [116]
DO NOT GO TO THAT LINK IT IS A VIRUS
6 0
3 years ago
You practice piano for 50 minutes each weekday and for 40 minutes on each weekend day. how many hours per week do you practice?
Pavel [41]

Answer:

330 minutes a week

Step-by-step explanation:

50 x 5= 250 then add 80 because 40 x 2 is 80 and get 330

5 0
2 years ago
Read 2 more answers
Other questions:
  • What is the value of the function at<br> x = -2 ?<br><br> a. y=-2<br> b. y=0<br> c. y = 2<br> d. y=3
    11·1 answer
  • Sally Seair buys a sailboat. The price, including tax, is $5,275.00. She finances the boat over 36 months after making a $500 do
    15·2 answers
  • What is the median of 45,50,47,52,53,45,51
    5·2 answers
  • Help<br> Me do not understand
    5·1 answer
  • ONE EIGHTH OF TONYS BOOKS ARE MYSTERY BOOKS. HE HAS 3 BOOKS. HOW MANY BOOKS DOES TONY HAVE IN ALL
    6·1 answer
  • An artist is selling children's crafts. Necklaces cost $3.25 each, and bracelets cost $2.50 per each. The artist plan to have a
    15·1 answer
  • AlI of the following are equivalent except ______.
    12·1 answer
  • PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
    14·2 answers
  • You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for
    7·1 answer
  • Find the y-value when x = -5 for the equation y = -3x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!