Prove that a triangle with coordinates

A(5, 6), B(8,5), and C(2, -3) is a right triangle.

Answers

Answer 1

Answer:

Because the side of the triangle forms pythagoras tripple

Line AB = √10

Line BC = 10

Line AC = √90

Step-by-step explanation:

From the question,

In the triangle,

Line AB = √[(8-5)²+(5-6)²]

Line AB = √(3²+-1²)

Line AB = √(9+1)

Line AB = √10

Also,

Line BC = √[(2-8)²+(-3-5)²]

Line BC = √(-6²+(-8)²)

Line BC = √(36+64)

Line BC = √100

Line BC = 10 unit.

Finally,

Line AC = √[(5-2)²+(6+3)²]

Line AC = √(3²+9²)

Line AC = √(9+81)

Line AC = √90.

From the above length of the line in the triangle,

Line AC, Line BC and Line AC are pythagoras triple.

I.e

10² = (√10)²+(√90)²

100 = 10+90

100 = 100.

Note only a a right angle triangle obeys pythagoras theorem.


Related Questions

can someone help please 13 points and those are the only answer options for all 4

Answers

Answer:

1 - x-axis, 2 - y-axis, 3 - y-axis, 4 - x-axis

Step-by-step explanation:

b) How many solutions does this system have? Explain
y=3(2x-4)
y=6x-12

Answers

Answer:

one solution?

Step-by-step explanation:

for the equation below y=2.5^x-6

what is the y intercept of the graph

a) -6
b) -5
c) -3.5
d) 2.5

Answers

Answer:

kvh

Step-by-step explanation:

m

The Problem: Phillips Health and Beauty Spa is replacing one of its workstations. The interest on a loan secured by the spa was $93.50. The money was borrowed at 5.5% simple interest for 2 years. What was the amount that they borrowed?

Answers

Answer:

$850

Step-by-step explanation:

Amount that was borrowed = interest / (interest rate x time)

93.50 / (0.055 x 2) =

93.50 / 0.11 = $850

help me please and thank you

Answers

Answer:

The answer is A, B, and C.

Step-by-step explanation:

All the others are on the wrong side of the graph.

Please help me! 20 points!
[Inequalities Review]

Answers

Answer:

x<-3

x=>-5

Step-by-step explanation:

I think this is right... I haven't done inequalities in several years

Answer:

top is correct byereeeeeeeeee

At a local print shop, 12 copies can be made for $3. At this rate, how much would it cost to make 84 copies? Fill out the table of equivalent ratios until you have found the value of x

Answers

I'm here to get some points very sorry have a nice day

Can someone help me asap

Answers

Answer:

1) 4

2) 5

3) -23

4) 8

5) 7

6) -64

7) -10

8) 19

9) 9

10) -56

Answer:

1) = -4

2) = 5

3) = 17

4) = 8

5) = 7

6) = -64

7) = -10

8) = 19

9) = 9

10) = -56

Step-by-step explanation:

1) (-4 + 2)^2 = -2^2 = -4

2) 25 / (9 - 4) = 25 / 5 = 5

3) 4 * 5 - 3 = 20 - 3 = 17

4) 2(2 + 2) = 2 * 4 = 8

5) (-10 + 5) / 5 + 8 = -5 / 5 + 8 = -1 + 8 = 7

6) (-3 - 1)^3 = -4^3 = -64

7) 5(5 - 7) = 5 * -2 = -10

8) 2 * 7 + 5 = 14 + 5 = 19

9) (5 * 3 + 3) / 2 = (15 + 3) / 2 = 18 / 2 = 9

10) 8(-1 - 6) = 8 * -7 = -56

5 cm
8 cm
I hate math

Answers

answer:

area: 40cm²

perimeter = 26cm

step-by-step explanation:

i do not know which one this is telling you to find so i put both area and perimeter

area:

know the formulaformula = l x wl = lengthw = widthplug in what you have

l x w

5 x 8

= 40cm²

perimeter:

for this you just have to each sidesince this is rectangle opposite sides are equal

5 + 5 + 8 + 8

= 26cm

11. A work day is 8 hours. You earn $48 for one work day What is the hourly pay rate? b. At that rate how much would you earn in 5 hours? Ker notes​

Answers

Answer:

You divide 48 and 8  to get 6 meaning you get $6 an hour.

6 x 5 = $30, soin 5 hours you get $30

Step-by-step explanation:

Answer:

A. You would earn 6 dollars an hour.

B. You would earn 30 dollars working for 5 hours.

A boogie board that normally sells for $69 is on sale at a 35% discount. what is the total cost of the boogie board? ​

Answers

Answer: 44.85

Step-by-step explanation:

Given that ∠S ≅ ∠A, and AB ≅ ST , what is the third congruence needed to prove that ΔABC ≅ ΔSTU by ASA?

Answers

Answer:

angle-side-angle. that's my answer

Which equation can be used to answer the question below?
Christopher made 12 of the 40 recipes he downloaded from the Internet. What percent of the recipes did he make?
A X=12(40)
B 12x=40
C 12=x/40
D 12=40x

Answers

Christopher made 30% of the recipe downloaded

He made 12 of the 40 recipes he downloaded from the internet.

He downloaded a total of 40 recipes.

Percentage

Percentage is is a number or ratio that can be expressed as a fraction of 100. Therefore,

The percentage of the recipe he made can be calculated as follows;

percentage of recipe made = 12 / 40 × 100

percentage  = 1200 / 40 = 30%

Therefore, he made 30% of the recipe downloaded

learn more on equation here: https://brainly.com/question/4345896

Antonio needed a loan worth 5,600. If the bank calculates interest at 3.1% compounded semi annually how much does he owe in 3years?

Answers

5600 in three yoears

what the answer for the poles in feet.

Answers

Answer:

A)10 feet tall

Step-by-step explanation:

The man casts a shadow half his height and so does the telephone pole

(4-9-8)÷3×3please help AFAP​

Answers

Answer:

I am not really sure but try this -13/9 or -13 divided by 9

Step-by-step explanation:

Answer:

-13

Step-by-step explanation:

So, we're gonna use PEMDAS here. First, we have to subtract what's in the parentheses.

4-9 is -5. -5 - 8 is -13. We can rewrite the equation now.

-13/3*3

The answer is -13

Ryan and Taylor are both saving money to buy new video game
equipment. Ryan's savings plan can be modeled by the function
s= 15m + 50 where m represents the number of months since Ryan
started his plan, and s represents the amount of money saved in
dollars. The table shown represents Taylor's savings plan.


Taylor's Savings Plan

Number of
Month Amount Saved ($)
0 25
1 45
2 65
3 85

Select the options that correctly complete the sentences.

greather or less than -----answer

Ryan's rate of change is ________ Taylor's rate of change .

Ryan'sstaring balanced is_______ Taylor's starting balanced.​

Answers

We want to compare the rates of change and starting balances of Ryan and Taylor, the correct answers are:

"Ryan's rate of change is _less than_ Taylor's rate of change.""Ryan's starting balance is greater than Taylor's starting balance.​"

So we know that Ryan's savings plan can be modeled by:

S(m) = 15*m + 50.

This means that he starts with 50, and saves 15 per month, then:

Ryan's rate of change = 15 per monthRyan's initial balance = 50

For Taylor we have a table:

month    amount saved:

0                 25

1                  45

2                 65

3                 85

So, in month 0 he has 25, thus, his initial balance is 25.

And each month the amount saved increases by 20, then the equation is:

T(m) = 20*m + 25

Then we have:

Taylor's rate of change = 20 per month.Taylor's initial balance = 25

Now we can see that:

"Ryan's rate of change is _less than_ Taylor's rate of change."

"Ryan's starting balance is greater than Taylor's starting balanced.​"

If you want to learn more about rates of change, you can read:

https://brainly.com/question/18904995

The MTC Theater holds 250 people, and last night’s performance sold out!  Students paid $3.00 per ticket, while adults paid $5.00 per ticket.  Last night’s show brought in $1050.

Write a system of equations for the problem.

Answers

9514 1404 393

Answer:

s + a = 2503s + 5a = 1050

Step-by-step explanation:

Let s and a represent the numbers of student and adult tickets sold. The system of equations that can be written from the given information is ...

  s + a = 250 . . . . . . total of tickets sold

  3s +5a = 1050 . . . dollar value of tickets sold

_____

The solution is (s, a) = (100, 150). 100 student tickets and 150 adult tickets were sold.

which is the distance between the point with the coordinates (-2,3) and the line with the equation 6x-y=-3

Answers

Answer:

I think it is 6x+3=y (y=6x+3)

What is 200×300?

A. 60,000

B. 5,000

C. 50,000

D. 6,000​

Answers

Answer:

A. 60,000

Step-by-step explanation:

The answer is A because 2 × 3 is 6 then you add the 4 0's. So it would be 60,000


find the measure of the arc or angle indicated. please help and i need work shown... brainliest answer for work shown

Answers

Answer:32

Step-by-step explanation:

Answer:

190°

Step-by-step explanation:

Inscribed angle is half the measure of the intercepted arc:

m∠EFG = 1/2mEG1/2mEG = 95°mEG = 2*95° = 190°

May i get some help with a step by step concept of the first question please

Answers

9514 1404 393

Answer:

  J  3/4 cup

Step-by-step explanation:

Step 1: read and understand the question.

  The question is giving you amounts of flour and 2 types of sugar.

  The question is asking for a difference between two quantities:

the amount of flour (2 1/4 cups)the combined amount of sugar (3/4 cup white, 3/4 cup brown)

Step 2: determine the relations you need to use to solve the problem

   You need the combined amount of sugar, which you find by adding the quantities of each of the kinds.

  3/4 cup white + 3/4 cup brown = 6/4 cup sugar combined

 You need the difference of that quantity from the quantity of flour, which you find by performing subtraction:

  flour - sugar = (2 1/4) - (6/4) . . . . cups

Step 3: Use your knowledge of arithmetic.

  (2 1/4) -(6/4) = 9/4 -6/4 = (9 -6)/4 = 3/4

Step 4: Answer the question that was asked.

  The difference between the flour and sugar amounts is 3/4 cup.

Find the coordinates of P.

Answers

Here is my answer. I hope this is helpful. If there is something you don't understand in my solution, you can ask me.

What number is 16% of 46? Which equation and solution represents each situation?

Answers

Answer:

the answer to this question is 7.36....its equation is 16/100*46

Answer:

7. 36 is the answer.

Step-by-step explanation:

but, what equation, and what situations?

4x+a=4x+3. How do you get to 6? Please explain and write down like you would write on paper. ​

Answers

Answer:

a=3 x= all reals

Step-by-step explanation:

I actually did not get 6 for an answer

4x+a=4x+3

cancel equal terms on both sides of the equation

a=3  

which means the x would be all reals cause it is true.

A. 20 mph
B. 35 mph
C. 70 mph
D. 100 mph

Answers

girl it’s D, i’m kidding i don’t know but what grade are you in this looks easy

The answer is B. 35 mph

Speed is shown as distance/time

If you pick a point, for example 70 miles and divide it by the time which is 2 hours, then you get 35 miles per hour

9 cm
8 cm
13 cm
9 cm
11 cm
O 455cm
172cm?
Submit Answer

Answers

Step-by-step explanation:

13×9+((13-8)×11)/2

117+55/2

154.5

need help asapppp !! this is due by today !!

Answers

Answer:

Easy 19 is the volume Step-by-step explanation:

Show whether or not the points with coordinates (1,3) (4,2) (-2,6) are vertices of a right triangle

Answers

Answer:

No

Step-by-step explanation:

See attached

Six times the sum of a number and 9 equals 8: translate the sentence into an equation

Answers

Answer:

6 times x+9=8

Step-by-step explanation:

Answer:

6(x+9)=8

Step-by-step explanation:

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