Triangle ABC has vertices (4,-1), B(5,6) and C(1,3). Prove using coordinate geometry that ABC is an isosceles right triangle.

Answers

Answer 1

Step-by-step explanation:

first find distance between ab

then between bc

then ac

in isosceles triangle 2 sides are equal

so if two sides means the distance we find are same

the givan triangle is isosceles

Answer 2

Answer:

the coordinates of vertices triangle ABC are (4,-1), B(5,6) and C (1,3) prove that triangle ABC is an isosceles right triangle.


Related Questions

URGENT HELP PLEASE!
What do the following two equations represent?

y-2= x+20

y-2= -(x+20)


a. The same line


(Choice B)


Distinct parallel lines


(Choice C)

Perpendicular lines


(Choice D)


Intersecting, but not perpendicular lines

Answers

Answer:

C

Step-by-step explanation:

Both the given equations are of Perpendicular lines.

What are Perpendicular lines?

Perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).

Given are two equations of lines

y-2= x+20

y = x+20+2

y = x+22.....(i)

y-2= -(x+20)

y = -x-20+2

y = -x-18,,,,,,,(ii)

The slopes of the equation are 1 and -1, We know that perpendicular lines have slopes that are negative reciprocals of one another.

Hence, The lines given are perpendicular lines

For more references on perpendicular lines, click;

https://brainly.com/question/18271653

#SPJ3

Given the following expressions:
A.5.5
B В
c. () (1)
D
Part I Use operations of exponents to simplity each expression (A-D). Include your work in your final answer
Part 2: For each simplified expression (AD) tell whether or not the expression has a value between 0 and 1

Answers

The answer to the questions is A

pls help will give u brainliest!

Answers

Answer:

A: 49500 km

B:

9.57

10

6

Step-by-step explanation:

The endpoints of a line segment are (-2, -4) and (6, 2) What are the coordinates of the midpoint? 1. (2, 3) 2. (4,3) 3. (4, -2) 4. (2, -1)​

Answers

It should be 4. (2,-1)

if your birthday is September 1st 1998 how old are you

Answers

Answer:

22

Step-by-step explanation:

Subtract 2020 by 1998 to get 22

-2(x+1)(x-2) what is the y-intercept?

Answers

Answer:

The y-intercept is at 4.

Step-by-step explanation:

When trying to find the y-intercept, you want to substitute your x's with 0 as x must equal 0 for your y-intercept. This gives you -2(0+1)(0-2). From here, you want to simplify your parenthesis equations.-2(1)(-2) Then you want to solve which gives you 4.

Pattern x starting number 10 rule add 6

Answers

Answer:

16,22,28,34,40

Step-by-step explanation:

Is -5 a whole number, integer or a rational number ?

Answers

Answer:

-5 is an integer.

Step-by-step explanation:

Answer:

it is an integer

Step-by-step explanation:

It's and integer because a whole number goes up higher but never pass 0

an integer has whole numbers and their negative counterparts it would be a whole if it was just 5 and not -5 and it would be rational if it were -5.5

what’s the answer to 6(3x+4)?

Answers

Answer:

18x + 24

Step-by-step explanation:

Given

6(3x + 4) ← distribute by multiplying each term in the parenthesis by 6

= 18x + 24

1) Listen
Elijah made 8 of the last 12 free throws he attempted at basketball practice.
What is the probability that he will make the next free throw he attempts?
Enter your answer as a fraction in simplest terms. For example, if your answer is , which reduces to enter it li-

Answers

Answer:

15

Step-by-step explanation:

What is the midpoint of (-2,-5) and (-6,3)? What quadrant is it in?

Answers

midpoint is (-4, -1) in the 3rd quadrant

Jimmy,Andrew, and Richard collect comic books. Jimmy has five more comic books than Andrew, and Richard has four times as many comic books as jimmy. Together they have 145 comic books. Fine the number of comic books each person has

Answers

Answer:

Jimmy = 25

Andrew = 20

Richard = 100

Step-by-step explanation:

J = Jimmys # of comics

J - 5 = Andrews # of comics

4J = Richards # of comics

6J - 5 = 145

     +5    +5

6J = 150

divide by 6

J = 25

plug 25 into the if statements above for J

Solve for k.
6 + -4k = 18
k=

Answers

k=-3

6*(-4k)=18

subtract 6 from both sides

-4k=12

divide by -4 on both sides

k=-3

Answer:

[tex] \sf \: k = - 3[/tex]

Step-by-step explanation:

Now we have to,

→ Find the required value of k.

The equation is,

→ 6 + (-4k) = 18

Then the value of k will be,

→ 6 + (-4k) = 18

→ 6 - 4k = 18

→ -4k = 18 - 6

→ -4k = 12

→ k = 12 ÷ (-4)

→ [ k = -3 ]

Hence, the value of k is -3.

What is the prime factorization of 90?

Answers

Answer: 2*3*3*5 which is the same as 2*3^2*5

====================================================

Explanation:

Divide by the smallest prime 2

90/2 = 45

Then divide by the next smallest prime 3 (since 2 won't go into 45)

45/3 = 15

Repeat the last step

15/3 = 5

We stop because the result is prime.

Note the denominators are 2, 3, 3. The final result is 5 which is prime.

So the prime factors are 2, 3, 3,  and 5

They multiply to 2*3*3*5 = 90.

We can condense it to 2*3^2*5 = 90 because 3*3 = 3^2.

Answer and Step-by-step explanation:

The prime factorization of 90 is 2 × 3 × 3 × 5 or 2 × 32 × 5, where 2, 3, and 5 are the prime numbers. You can find "prime factorization" by following two simple steps. Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

Hope you found this helpful! Have a wonderful day! <3

explanation and working too please :)) ​

Answers

Answer:

Each side is 4 cm.

Step-by-step explanation:

We need to try to express the perimeter of the figure in terms of "square sides". Basically, we're going to count how many square sides the perimeter is.

Starting from the top, the very top is 1 side.

Moving down to the right, we have another side.

Then half a side as we go to the right edge.

The right edge is 1 full side.

Another half side, going left.

Going down, we have 1 full side.

The other side is mirrored, meaning we just have to double this to get the full figure's perimiter.

Counting up our sides (we'll call one side [tex]s[/tex] ), we have:

1s + 1s + 0.5s + 1s + 0.5s + 1s = 4s + 0.5s + 0.5s = 5s

Doubling it:

5s * 2 = 10s

The whole perimiter is 8 square sides. Since we know the perimeter is 40 cm, we can find the length of one side by solving this equation:

10s = 40

Dividing both sides by 10:

s = 40/10 = 4

Answer: Each side is 4 cm.

Please help! The selected one is wrong

Answers

Answer:

option b  

Step-by-step explanation:

(fog)x = f(g(x))

Option b

         = f(x - 5)

         = [2 (x-5) ]² + 1

         = [2x - 10]² + 1  ≠ h(x)

PART A
Plot two points to form a square in the above graph.Label the points R and S. A square is a quadrilateral with all four sides of the same length. After plotting the points, trace the square by connecting the points.


PART B
To find the perimeter of a polygon, take the sum of the length of each side. What is the perimeter of the square that you created in part A? Round your answer to two decimal places.

Answers

Answer:

Perimeter = 28.84 m

Step-by-step explanation:

Since the other two points will make the shape to look like a square, each length of the square will be equal.

We can therefore find the length PQ by using the formula

L = sqrt ( [ X2 - X1 ]^2 + [ Y2 - Y1 ]^2

L = sqrt( [ -2 + 4 ]^2 + [ 4 + 3]^2

L = sqrt (4 + 49)

L = sqrt (52)

L = 7.2 m

Each length of the square is 7.2 m approximately

The parimeters will be:

Perimeter = 4L

Perimeter = 4 × 7.2

Perimeter = 28.84 metres

Therefore, the perimeter of the square is 28.84

A shirt is on sale for 40% off. The sale price is $12. How much was the original price? *

Answers

Answer:

$20

Step-by-step explanation:

Let the variable x in this equation represents the original price of the shirt:

100% - 40% = 60%

60% of x = $12

0.6x = $12

x = $12/0.6

x = $20

A teacher wanted to prevent students from guessing answers on a multiple-choice test. The teacher graded 5 points for a correct answer, 0 points for no answer, and -2 points for a wrong answer. Giselle answered 17 questions correctly, left 3 blank, and had 5 wrong answers. She also got 8 out of 10 possible points for extra credit. What was her final score?

Answers

So she had 17 correct and that 85 points, left three points and so it doesn’t deduct, she had five left over and so that’s -10 points so 75 now, she got eight out of ten, so 75+40 = 115, minus 4 so 111 is the answer.

How do you use what you know about absolute value to add integers?

Answers

Found it off the website !!!!!!!!!

Round o.oo9 to the nearest hundredth.

Answers

Answer:

0.01

Step-by-step explanation:

When rounding to the nearest hundredth, you look in the thousandths place to see if the number is 5 or greater. In this case it is. The hundredths place then moves up one number.

=0.01

Hope this helps!

0.01 because the number in the thousandths place is greater than 5

Help WILL MARK AS BRAINLIEST WHAT IS 5 X 5 / 8 - 10 =

Answers

Answer:

- 55  =  -6.88

  8

Step-by-step explanation:

5 X 5 / 8 - 10

5² - 10

8

25  -  80

      8

- 55  =  -6.88

  8

Steps to solve:

5*5/8-10

~Simplify

25/-2

~Simplify

-12.5

Best of Luck!

Commutative Property of Addition

25 + (-x) =

Answers

Answer:

x is 25

Hope it helps.....

the commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum. For example 50+12. It’s the same as 12+50! (-x)+25 would be your commutative property of addition

Simply the equation 1 1/3

Answers

1.3 i think that is the answer

Pythagorean theorem

Answers

Answer:

8.7

Step-by-step explanation:

hypotenuse= 14 =c

a=11

b=x

a²+b²=c²

b²=c²-a²

b²=14²-11²

b²= 196-121

b²=75

b=√75=5√3=8.7 rounded to the nearest tenth

Final Answer:

x = 8.66

Step-by-step explanation:

formula: [tex]b=\sqrt{c^2-a^2}[/tex]

a = 11

b = x

c = 14

[tex]b=\sqrt{14^2-11^2}[/tex]

[tex]b=\sqrt{196-121}[/tex]

[tex]b=\sqrt{75}[/tex]

b = 8.66025

x = 8.66

rounded off to the nearest hundredths: 8.66

Help pleasee
Mazes has been saving $7 each week, today he spent $77 of the savings, and now he has $42 left,for how many weeks has he been saving

Answers

Answer:

17 weeks

Step-by-step explanation:

add 77 and 42 then divide by 7

A. A blue container weighs 20 pounds.
A red container weighs 5 pounds.
How much more does the blue
container weigh than the red
container?

Answers

The blue container weights 15 pounds more than the red container.

Answer:

The blue container ways 15 more pounds.

Step-by-step explanation:

Subtract 5 from 20 and it gives you 15.

20- 5= 15

Which correctly Applies the distributaries property to show an equivalent expression to (-2.1)(3.4)

Answers

Answer:

(–2.1)(3) + (–2.1)(0.4)

Step-by-step explanation:

It's D

Answer:

D

Step-by-step explanation:

Took the test ;)

f(x)= x/x-7
What is the domain of f?

Answers

Answer:

(-∞,7) U (7,∞)

Step-by-step explanation:

All real values of x such x ≠ 7

Is the line passing through the points (−4,5)
and (1,10)
parallel to the line passing through the points (−18,−6)
and (−8,4)
?
A
No, because the slopes of the lines are the same, but the y-intercepts are different.
B
No, because the slopes of the lines are different.
C
Yes, because the slopes of the lines are the same, but the y-intercepts are different.
D
Yes, because the slopes of the lines are different.

Answers

The answer is to this question is B
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