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
ra1l [238]
3 years ago
7

The points A(-3, 2) and B(1,4) are vertices of an isosceles triangle ABC, where angle B = 90°

Mathematics
1 answer:
almond37 [142]3 years ago
4 0

Answer:

Length of AB = 4.4721

Equation of line BC: y = -2x + 6

Step-by-step explanation:

To find the length of the line AB, we just need to find the distance between the points A and B.

We can find distance with the equation:

distance = \sqrt{(x_A - x_B)^2 + (y_A - y_B)^2}

distance = \sqrt{(-3 - 1)^2 + (2 - 4)^2}

distance = 4.4721

To find the equation of the line BC, first let's find the slope of the line AB.

This slope is given by:

m_{AB} = \frac{ y_A - y_B }{ x_A - x_B }

m_{AB} = \frac{ 2 - 4 }{ -3 - 1} = \frac{1}{2}

The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:

m_{BC} = -\frac{1}{m_{AB}} = -2

so the line BC is:

y = -2x + b

To find the value of b, we can use the point B (1,4):

4 = -2 + b

b = 6

So we have:

y = -2x + 6

You might be interested in
Please help!<br><br>4^x*5^y=20, 4^y*5^x=20^2, x+y=?​
photoshop1234 [79]

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

7 0
3 years ago
A youth barracks has enough food for 125 youths for 16 days.how long will the food last if 75 more youths join
Ronch [10]

Answer:

16

Step-by-step explanation:

125=

16 days

8 0
3 years ago
Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!
Viefleur [7K]

Answer:

A

Step-by-step explanation:

Answer is the first choice. you can tell by the notation.

5 0
3 years ago
Read 2 more answers
Holiday items are on sale at 15% off the original retail price. If tree lights are regularly $12.40 per set, what is the sale pr
Umnica [9.8K]
12.40*(100-15)=10.54
$10.54 cents is the new cost
6 0
3 years ago
Read 2 more answers
University theater sold $525 tickets for a play. Tickets cost &amp;21 per adult and $12 per senior citizen. If total receipts we
Kamila [148]
620.25 u calculate 7443 and divide that by 12
4 0
3 years ago
Other questions:
  • What is the answer?​
    8·1 answer
  • Anbody know the answer??
    6·1 answer
  • An ice cream shop sells 6 different flavors, 4 toppings, and 3 types of cones. How many different combinations of two different
    14·1 answer
  • How can I convert 35/21 two mixed numbers written in simplest form!Help Me please
    11·1 answer
  • Enter the variable that is easiest to solve for in this system of equations. 6y=10x+5 , 6y=5x+7
    8·2 answers
  • What is the measure of 0?
    14·2 answers
  • What is the probability that the first balloon will be either orange or white
    9·1 answer
  • Is Trazillion a number
    13·2 answers
  • How do you solve this?
    5·1 answer
  • Keisha, Justin, and frank have a total of $86 in their wallets. Justin has 3 times what frank has. Keisha has $6 more than frank
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!