IF YOU HELP ME ILL give U 2$ AFTER UR DONE

Triangle ABC is defined by the points A(-2, 4), B(6,2), and C(1,-1). Using what you know about the distance formula, what type of triangle would ABC be?

Answers

Answer 1

Answer:

LOL i dont need money jus mark me brainliest :P

Step-by-step explanation:

[tex]distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]AB = \sqrt{(6--2)^2 + (2-4)^2} = \sqrt{8^2 + 2^2} = \sqrt{68}\\\\BC = \sqrt{(1-6)^2 + (-1-2)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}\\\\AC= \sqrt{(1--2)^2 + (-1-4)^2}} = \sqrt{3^2 + 5^2 } = \sqrt{34}[/tex]

[tex]Clearly, this\ satisfies \ the\ Pythagoras\ theorem : AC^2 = AB^2 + BC^2[/tex]

                                                                      [tex](\sqrt{68})^2 = (\sqrt{34} )^2 + (\sqrt{34} )^2\\\\68 = 34 + 34 \\68 = 68\\Hence\ satisfies .[/tex]

Therefore,  the triangle ABC is a right angle triangle.


Related Questions

Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.

Answers

Answer:

t=9/10 Hope that helped

Hope this helps!

Armycee:)

Find the missing angle

Answers

Answer and Step-by-step explanation:

First, solve for the angle TRS, so that we can find the missing angle.

Subtract the two angles from 180 (because all triangle's angles add up to 180).

180 - 58 - 60 = 62.

By the vertical angles theorem, 62 is equal to the missing angle.

#teamtrees #PAW (Plant And Water)

Suppose we want to choose 5 letters without replacement from 16 distinct letters

Answers

Answer:

16P5

Step-by-step explanation:

16*15*14*13*12

if the vertex of triangle abc is A(2, 3) B(4, 5) C(6, 2) . find the reflection of it through y axis

Answers

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (2, 3 ) → A' (- 2, 3 )

B (4, 5 ) → B' (- 4, 5 )

C (6, 2 ) → C' (- 6, 2 )

You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population

Answers

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Solve the following equation for x: 6( 4X +5) = 3( X +8) +3

Answers

Answer:

x= -1/7

Step-by-step explanation:

 

A password is made up of 4 letters. If the letters can be repeated how many passwords can be created. NO LINKS!!!​

Answers

Answer:

456,796 passwords

Step-by-step explanation:

Because any letter can be repeated for the 4-letter password, there are 26 possible letters for the first letter of the password, 26 possible letters for the second letter of the password, 26 possible letters for the third letter of the password, and 26 possible letters for the fourth letter of the password. Therefore, the possible number of passwords that can be created is 26*26*26*26 = 26^4 = 456,796 passwords

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

D. 144

Step-by-step explanation:

Find volume of shipping container:

2 2/3 = 8/3

2 x 1 = 2

8/3 x 2/1 = 16/3

Find volume of cube:

1/3 x 1/3 = 1/9 x 1/3 = 1/27

Find how many boxes fit in container:

16/3 ÷ 1/27

16/3 x 27/1

Simplify:

16/1 x 9/1 = 144/1

Answer: 144

Which of the following have
a value equal to [-12]?

Answers

Answer:

option 3) ii, iv, v

Step-by-step explanation:

|-12| means write the absolute value, which means just the number without the sign.

Therefore |-12| = 12

So, ii.  12

    iv.   |12| is also = 12

     v.   -( -12) is also = 12

Answer:

12.00000000000000000

A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is
PA and B)?

Answers

Answer:

0.15

Step-by-step explanation:


Use the formula C = 2nr and = 3.14 to find the circumference of a circle with a radius of 5 meters

Answers

Answer:

31.4

Step-by-step explanation:

C = 2 x 3.14 x 5

C = 10 x 3.14

C = 31.4

USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!

Answers

Answer:

use table B

Step-by-step explanation:

the perimeter of table A =

2×(96+42) = 2× 138 = 276 inches

the perimeter of table B =

2×3.14×45 = 282.6 inches

table B > table A

What is -4.5 need help pls help fast I will give u a brilliant and thank

Answers

Answer:

its -4.5??? what is the question you're asking

Hey man you think you can give us some Answer choices???

Help!!!!!!!!!!!!!!!!!

Answers

Answer:

the answer is one hundred and eight 108

Step-by-step explanation:

108 bro trust me

Which answer choice below best describes the number (22 + 6)

Answers

Answer:

You FAILED to include any choices.

Step-by-step explanation:

can you add a picture?

What is 17 % of 3,000?​

Answers

Answer:

510

Step-by-step explanation:

17% of 3000 would be 17 in 30 hundreds, think about it that way

Which equation is written in factor form?

Answers

I believe the 2nd one

Which of the following is equal to the expression below?
A.
B.
C.
D.

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

hope this helps

Can anyone solve this? I'm kind of stuck! Thank you!

Answers

Answer:

B

Step-by-step explanation:

0.25 (2d + 1) = 0.25(2d) + 0.25(1)

= 0.50d + 0.25

Answer:

The expression 0.25(2d+1) is equivalent

equivalent go 0.50d +0.25.

Step-by-step explanation:

If yoy simplify the expression if will be 0.5d+0.25

I don’t understand the steps for this problem

Answers

Answer:

-53

Step-by-step explanation:

You start off with the g of x equation

then you substitute -5 for the x value

after you solve that, you should get g of  x = 23

then you take the f of x equation and plug 23 in for x

then you simplify that and you should end up with an answer of -53

Step-by-step explanation:

i just need points so i can ask my questions

Solve the formula Ax + By = C for X

Answers

Answer:

Step-by-step explanation:

Ax+By=C

Ax=C-By

x=C-By/A

If there are 8 people, and each person has 4 coins, there are ____ times as many coins as people.

Answers

Answer:

2 times

Step-by-step explanation:

Answer:

4 times

Step-by-step explanation:

8 x 4 = 32 total coins

32÷8 = 4

Therefore, there are 4 times as many coins as people.

Hope this helps! :)

Puzzle- Please help me with this question

Answers

Answer:

Step-by-step explanation:

Multiply the two top numbers together. Then record the first digit of the answer.

5*4 =20              Record 2

9*8 = 81              Record 8

3*6 =18               Record 1

7*5 = 35             Record 3

Can someone help with this one

Answers

Answer:

2 bicycles

Step-by-step explanation:

let no. of bicycles be xno.of tricycles = (6 -x)

as there were 5 bicycles and tricycles

now,

a bicycle has 2 wheels a tricycle has 3 wheels

total no.of wheels = 16

2x + 3(6 - x) = 16

2x + 18 - 3x= 16

2 - x = 0

2 = x

therefore, there are 2 bicycles.

A wall has an area of 40 square feet. Its
height is 8 feet. Which equation could you
use to find its width?

Answers

The answer to your question is B

Which best describes the relationship between the successive terms in the sequence shown?
9, -1, -11, -21,
The common difference is -10,
The common difference is 10
The common ratio is -9)
The common ratio is 9.

Answers

Answer:

the common difference is 10

It’s ten..............................

Is ΔABC ~ ΔDEF? Explain. Triangle A B C has angle measures A 18 degrees, B 110 degrees, and C unknown. Triangle D E F has angle measures D 52 degrees, E 18 degrees, and F unknown.

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

Triangle ABC has angle measures ...

A = 18°B = 110°C = 180° -18° -110° = 52°

Triangle DEF has angle measures ...

D = 52°E = 18°F = 180° -52° -18° = 110°

Using the angle measures in the order 18, 110, 52, we can write the similarity statement as ...

  ΔABC ~ ΔEFD

The similarity statement given in the problem is incorrect. ΔABC is not similar to ΔDEF.

Three baseball players are playing catch. Jessica is directly south of Aaron and directly west of Mike. Jessica and Mike are 8 meters apart and Mike and Aaron are 10 meters apart, How far apart are Jessica and Aaron?

Answers

Answer:

6 m

Step-by-step explanation:

The diagrammatic illustration of the problem. Is attached

The diaabcw between Aaron and Jessica can be obtained using Pythagoras :

d = √(10² - 8²)

d = √100 - 64

d = √36

d = 6

A car company invests $200,000 in developing auto-car software. Each software costs $150 to produce and
sells for $400. How many software must the company sell break-even? Determine the break-even point.
Refer to the Cost and Revenue equation.

Answers

Answer:

Break even unit = 800

Break even point = $320,000

Step-by-step explanation:

Given:

Amount invested (Fixed cost) = $200,000

Each software cost (variable cost) = $150

Selling price = $400

Find:

Break even unit

Computation:

Assume;

Break even unit = a

Total Cost = Amount invested (Fixed cost) + [Each software cost][Break even unit]

Total cost = 200,000 + 150a

Total revenue = Selling price[Break even unit]

Total revenue = 400a

So,

400a = 200,000 + 150a

250a = 200,000

Break even unit = 800

Break even point = 400a

Break even point = 400(800)

Break even point = $320,000

Find the quotient of these complex numbers (6-I) divided by (4+3i)=

Answers

Answer:

[tex]\frac{21}{25} -\frac{22}{25} i[/tex]

Step-by-step explanation:

We can start by writing the division as a fraction:

[tex]\frac{6-i}{4+3i}[/tex]

In order to rationalize the denominator, we need to multiply by the conjugate:

[tex]\frac{6-i}{4+3i} *\frac{4-3i}{4-3i}\\\\\frac{(6-i)(4-3i)}{4^2-(3i)^2}\\\\\frac{24-18i-4i+3i^2}{16+9}\\\\\frac{24-22i-3}{25}\\\\\frac{21-22i}{25} \\\\\frac{21}{25} -\frac{22}{25} i[/tex]

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