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
Paha777 [63]
3 years ago
11

Amara wants to draw isosceles right triangles on a coordinate plane that have two vertices at (-2,4) and (5,4). If the coordinat

es of the third vertex are both integers, how many different isosceles right triangles can she draw?
Fill in the banks to explain your reasoning.
For the right triangle to be isosceles and have both coordinates of the third
vertex be integers, a side from one of the two given vertices to the third vertex
must have a length of _____ units and be parallel to the ___-axis.
The y-coordinate for the third vertex must be _____ or _____.

Amara can draw ____ isosceles right triangle(s).
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
8 0

Answer:

The side must have a length of <u>7</u> units

and be parallel to the <u>y</u>-axis

The y-coordinate for the third vertex must be <u>-3</u> or <u>11</u>

He can draw <u>4</u> isosceles right triangles

Step-by-step explanation:

∵ The side joining (-2 , 4) and (5 , 4) is horizontal (same y-coordinates)

∴ Its length = 5 - 2 = 7

∴ The side from the one of the two given vertices to the third

   vertex must be vertical so it's parallel to the y-axis

∴ The x-coordinate will be -2 or 5

∵ The distance between the y-coordinates of the third vertex

   and one of the given point is 7

∴ 4 - y = 7 ⇒ y = 4 - 7 = -3

∴ y - 4 = 7 ⇒ y = 4 + 7 = 11

∴ The y-coordinate of the third vertex must be -3 or 11

∴ The third vertex is (-2 , -3) , (-2 , 11) , (5 , -3) , (5 , 11)

∴ Amara can draw 4 isosceles right triangles

You might be interested in
I need EXTREME HELP PLEASE
elena55 [62]

Answer:

8 months

Step-by-step explanation:

194-3m = 217-6m

3m = 23

m=7.666666.....  (8 months

6 0
2 years ago
How many cups is 15 pints
Keith_Richards [23]

1 pint = 2 cups
2 pints = 4 cups
3 pints = 6 cups
4 pints = 8 cups
5 pints = 10 cups
6 pints = 12 cups
7 pints = 14 cups
8 pints = 16 cups
9 pints = 18 cups
10 pints = 20 cups
11 pints = 22 cups
12 pints = 24 cups
13 pints = 26 cups
14 pints = 28 cups
15 pints = 30 cups

3 0
3 years ago
Read 2 more answers
Jane invested £4000 for 3 years with an interest rate of 1.5%. What was her investment worth at the end of this period?
ddd [48]

Answer:

$4182.7

Step-by-step explanation:= 4000*(1.5%)*3

Year 1= 4000*(100%+1.5%)= 4060

Year 2= 4060*(100%+1.5%)= 4120.9

Year 3= 4120.9*(100%+1.5%)= 4182.7

6 0
3 years ago
Read 2 more answers
Solve the following equation.
GrogVix [38]

Answer:

-9

Step-by-step explanation:

5x-3x=-10-8

2x= -18

x=-18/2

= -9

4 0
2 years ago
A coat regularly cost $125 is put on sale for $75
Stels [109]
If a coat is regularly $125, and they mark it down to $75, we could figure out how much money was taken off by subtracting $75, from $125

$125 - $75 = $50

So the coats price was cut by $50.

Hope it helps
Please mark brainliest!
7 0
3 years ago
Other questions:
  • Helpp!! what is the domain and range for the graph
    7·1 answer
  • F(x) = 7x + 7, g(x) = 6x2<br><br>Find (fg)(x).
    6·1 answer
  • Can someone help me pls it due In the next two hrs
    10·1 answer
  • Suppose g(x) = (x - 4)2 - 5. Which statement best compares the graph of
    6·2 answers
  • Can someone please answer this worksheet for me. I would be really thankful if you do so. ​
    9·1 answer
  • Find the difference of the polynomials given below and classify it in terms of degree and number of terms.
    12·1 answer
  • Manuel, a plumber, has several pieces of pipe on his truck. He has a piece 6 feet long. A piece 7 feet long, one 9 feet long, an
    12·1 answer
  • Please answer the 2 question <br> l will mark as brainiest
    9·2 answers
  • An art class contains 87 jars of paint. One third of the paint colors is red the remaining two thirds is purple.what is the rati
    6·2 answers
  • Which equation is correct?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!