Which of the following sets of points are vertices of a right triangle?
1) A(-1, -3), B(4, -3), C(2, -1)
2) A(-2, 2), B(1, -4), C(4, 2)
3) A(-1, 1), B(3, 5), C(4, -4)
4) A(-1, 3), B(-4, -3), C(-4, 1)

Answers

Answer 1

I scanned for a pair of x coordinates that match and a pair of y coordinates that match.  That would be a right triangle whose sides are parallel to the axes.    It's possible our right triangle is more complicated, but let's start here.

Nope, it doesn't look like our right triangle is oriented to the axes.  Let's do the Pythagorean Theorem.

1) A(-1, -3), B(4, -3), C(2, -1)

AB² = (4 - -1)² + (-3 - -3)² = 25

AC²= (2 - -1)² + (-1 - -3)² = 9 + 4 = 13

BC²= (2 - 4)² + (-1 - -3)² = 4 + 4 = 8

25 ≠ 13 + 8, not a right triangle

2) A(-2, 2), B(1, -4), C(4, 2)

AB² = (-2 - 1)² + (-4 - 2)² = 9 + 36 = 45

AC²= (4 - -2)² + (2 - 2)² = 36

BC²= (4 - 1)² + (2 - -4)² = 9 + 36 = 45

not a right triangle, but isosceles

3) A(-1, 1), B(3, 5), C(4, -4)

AB² = 4² + 4² = 32

AC²= 5² + 5² = 50

BC²= 1² + 9² = 82

BC² = AC² + AB²,  THIS IS A RIGHT TRIANGLE

4) A(-1, 3), B(-4, -3), C(-4, 1)

AB² = 3² + 6² = 45

AC²= 3² + 2² = 13

BC²= 0² + 4² = 16

not a right triangle

Answer: 3) A(-1, 1), B(3, 5), C(4, -4)


Related Questions

which expression can be used to find the value of x in the triangle shown part b write the value of x to the nearest tenth?

Answers

Answer:

where is the image?

Step-by-step explanation:

i need an image ! :)

Which value is equivalent to 15 − 4 × 2? A) 2 B) 7 C) 9 D) 23

Answers

Answer

D because i had it before

Answer:

B

Step-by-step explanation:

You need to do 4*2 which is 8. Then you need to subtract 15-8 to get 7.

Hope this helps.

Half of a sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters.
What is the volume of the composite figure? Express the answer in terms of π.

144π mm3
168π mm3
312π mm3
456π mm3

Answers

Answer:

312π mm3

Step-by-step explanation: yes

The required volume of the composite figure of the sphere on the top of the cone is 312π mm³. Option c is correct


The sphere is stacked on top of a cone. They both share a circular base. The radius of the circle is 6 millimeters. The height of the cone is 14 millimeters. The volume of the composite figure is to determine.


What is volume?

Volume is defined as the ratio of the mass of an object to its density.

Volume of composite figure =  Volume of semi-sphere  + Volume of cone
                                              =   2/3πr³ + 1/3πr²h
                                              =  2/3*6³π + 1/3*6²*14π
                                              =   312π mm³

Thus, the required volume of the composite figure of the sphere on the top of the cone is 312π mm³.

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To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches. How many cubic inches of frosting is in the bag? Use 3.14 for pi.

Answers

Answer:27.7

Step-by-step explanation:

the formula for a cone is V=1/3πr*2h

it is 1/3 because a cone is one-third of a sphere.

you then put the information from the text in the formula and you get this

V=1/3x 3.14 (pi) x 2.1 to the power of 2 (radius is half of a diameter)x 6 (height)

then you get the answer 27.6948

round to the nearest 10th and you get

A. 27.7

Also, I took the test.

There are 27.77 in³ of frosting is in the bag.

What is volume?

The amount of space, measured in cubic units, that an object or substance occupies.

Given that, To apply frosting to a cake, a baker twists a plastic bag containing the frosting into a cone shape with a diameter of 4.2 inches and a length of 6 inches.

Volume of cone = ¹/₃πr²h

r = 4.2/2 = 2.1 in

h = 6 in

Volume = ¹/₃x2.1x2.1x6

= 27.77

Hence, the volume of the cone is 27.77 in³

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What are the rules of simplifying exponents?

Answers

Answer:

To simplify a power of a power, you multiply the exponents, keeping the base the same. For example, (23)5 = 215. For any positive number x and integers a and b: (xa)b= xa· b.

Step-by-step explanation:

(A) 10
(B) 8
(C) 16
(D) 3

Answers

Answer:

8

Step-by-step explanation:

10 to big 16 to large 3 to small 8 just right

Members of alachua district choir were asked, when given the choice between romanticism or gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender

Answers

The question is incomplete, so here is the complete question.

Members of alachua district choir were asked, when given the choive between romanticismor gothic style singing, which style they preferred to sing for state competition. The data was broken down by gender:

48 males preferred Romanticism

63 males preferred Gothic

59 females preferred Romanticism

62 females preferred Gothic

Part A: Fill in and complete the following contigency table. Circle the largest  joint frequency and put a box around the smallest marginal frequency.

                    Romanticism         Gothic            Total

Males

Females

Total

Part B: Which style was preferred as the state competition piece and by what percentage?

Part C: Which subject was preferred the most by Males?

Part D: What frequency does 125/232 represent?

Answer and Step-by-step explanation:

Part A:

             Romanticism        Gothic       Total

Males            48                     63            111

Females        59                     62           121

Total              107                   125         232

Part B: The preferred style is Gothic by a percentage of

P = [tex]\frac{125}{232}[/tex]

P = 54%

Part C: According to the table, the style preferred the most by males was Gothic, since 63 males chose it over 48 that chose Romanticism.

Part D: The frequency 125/232 represents the total of people (male AND female) that preferred Gothic over the total of people in both categories.

what is the distance between the pair of points.

(3, 3) and (3, −5)

Answers

Answer: 8

Step-by-step explanation:

So the right answer is 8units

Look at the attached picture

hope it will help you...

Good luck on your assignment

Please help with this

Answers

Answer:

A. x = 5, -3

Step-by-step explanation:

The quadratic equation/formula is:

[tex]x = \frac{-b+- \sqrt{b^2 - 4ac} }{2a}[/tex]

The setup is:

[tex]ax^2+bx+c=0[/tex]

[tex]4x^2 - 8x -60=0[/tex]

Plug in the numbers according to the letter associated:

[tex]x = \frac{8+-\sqrt{-8^2-4(4)(-60)} }{2(4)}[/tex]

[tex]x = \frac{8+-\sqrt{1024} }{8}[/tex]

[tex]x = \frac{8+-32}{8}[/tex]

Solve for addition and subtraction:

[tex]x = \frac{8+32}{8}[/tex]                                                                              [tex]x = \frac{8-32}{8}[/tex]

[tex]x = \frac{40}{8}[/tex]                                                                                  [tex]x = \frac{-24}{8}[/tex]

x = 5                                                                                      x = -3

Four less than 3 times a number is the same as the number plus 10 - in an equation

Answers

Answer:

4-3x=x+10

Step-by-step explanation:

4- (four less)

3x (3 times a number)

= (is the same as)

x (the number)

+10 (plus ten)

Please rate, thanks, mark brainliest if this helps!

Use the proof to answer the question below.
Given: AB || DE and ZA = LC
Prove: M4BC - ADEC

a. SAS
b. AA
c. SSS
d. AAS

Answers

Answer:

if B is AAA then that is correct

Step-by-step explanation:

It's Quadratic, Exponential or Linear?​

Answers

Answer:

quadratic table

Answer:

i think it is exponential

Solve for y: 12x + 4y = 24
Plz help
A) y=4
B) y=-3x+6
C) y=-1/2x+4
D) y=2x+4

Answers

Answer: b

Step-by-step explanation:

Complete the statement with the choice that best
describes the relationship between the polynomial
and its rational zeroes.
A polynomial, P, has a leading coefficient of 1 and
a constant term. The rational roots of Pare all

Answers

Answer:

Factors of the constant term

Step-by-step explanation:

the answer is "factors of the constant term"! i hope this helped

what is the probability of spinning different numbers when the spinner below is spun twice​

Answers

Answer:

25%

Step-by-step explanation:

I need the answer ASAP! Thanks! ❤️

Answers

Strong and positive
Your answer will be sting and positive

need help
ASAP will give 20 points!

Answers

Answer:

141

Step-by-step explanation:

24 (triangle) + 117 (trapezoid)

Answer:

141

Step-by-step explanation:

Trapezium + triangle

[½ × (16+10) × 9] + [½ × 6 × 8]

117 + 24

141 in²


Which statements about functions g(x) = x2 − 4x + 3 and f(x) = x2 − 4x are true? Select all that apply

A)The vertex of the graph of function g is above the vertex of the graph of function f.
B)The graphs have the same axis of symmetry.
C)Function f has a maximum value and function g has a minimum value.

Answers

Answer:

It is C i just had that question

Step-by-step explanation:

Answer:

just c i had that question too

Step-by-step explanation:

Somebody help I’ve tried this question many times and still get it wrong

Answers

Answer:

$480 in interest to make a total of $1,480. She will not have enough money

Step-by-step explanation:

I=P.r.t

=1000*0.02*24

=$480

Total after 2 years: 1000+480=$1,480

anyone ? please help out

Answers

Answer:

1:>

2:>

3:>

Step-by-step explanation:

Answer:

-5    >    -12 -5 is greater than -12 because -5 is closer to positive numbers (0) then -12 is.

-6  >   -8     -6 is greater than -8 because -6 is closer to positive numbers (0) then -8 is.

6  >  -11   6 is greater than -11 because 6 is a positive number and -11 is a negative number.

Dont forget to mark brainliest please!

You decide to borrow money to pay for college at 22% interest per year, in 2023.
How much will you owe on a loan of $5,000 in 2027?

Answers

Answer: On  loan of $5000 at that rate, you would be owing $9400

Step-by-step explanation: The loan is being borrowed at an interest rate that is calculated yearly. This is a case of a simple interest. The same amount of interest is calculated and that will be payable per year. The amount borrowed is the principal, and in this instance is $5000. The amount of interest payable is calculated as 22 percent of the principal and is paid yearly. So if a loan (principal amount) of $5000 is borrowed for a period of 4 years (that is, 2023 to 2027), then the interest is calculated for four years.

Hence, the formula for a simple interest computation is given as follows;

Interest = P x R x T

Where P = 5000, Rate = 0.22 (22 percent), and T = 4 (time in years)

Interest = 5000 x 0.22 x 4

Interest = 20000 x 0.22

Interest = 4400

Therefore, from the calculations shown, a loan of $5000 at the rate of 22% borrowed from 2023 to 2027 would have an interest payable of $4,400.

Upon repayment of the loan, you would be owing a total of $9,400 (that is, amount borrowed plus interest owing)

For the relation S:{(2,3),(−1,4), (1,6)}. a Find the domain. B. Find range

Answers

Answer:

domain: {2, -1, 1}

range: {3, 4 6}

Step-by-step explanation:

In the relation of the form (x,y)

Set of all possible value of X is called Domain

Set of all possible value of Y is called  Range

To get a list of domain and range it is required to separate value of x and y

_________________________________

Relation given in the problem

S:{(2,3),(−1,4), (1,6)}

domain: {2, -1, 1}

range: {3, 4 6}

Kyleigh put a large rectangular sticker on her notebook.the height of the sticker measures 10 cm. the base is half as long as the height. what area of the notebook does the sticker cover?

Answers

Hey there! Welcome to Brainly! I'm happy to help you!

When we are talking about the height and base, let's use the variables h and b. With the information we have been given, we can make the following equations below.

h=10                     (the height is 10)

b=h/2            (base is half as long as the height)

We see that h is equal to ten. b is equal to h divided by two, so it is therefore ten divided by 2! We take the value for h and the plug it into the second equation!

b=10/2

b=5

So, we now know that the height is 10 cm and that the base is 5 cm. However, we need to find the area. To find the area of a rectangle, we just multiply the base by the height!

10(5)=50

Therefore, the area of the sticker is 50 cm².

I hope that this helps! Have a wonderful day!

The amount Amanda earns babysitting in a month is represented by the equation a=9.5h. In the equation, a
represents the total amount Amanda earns. The number of hours she babysits is represented by h. What is the
constant of proportionality (unit rate) of a to h?

Answers

Answer:

9.5

Step-by-step explanation:

Well the constant proportionality is 9.5 because that is what makes p directly proportional to a, because when h increases, a increases, and when h decreases, a decreases.

What is the area of the shaded region to the nearest tenth of a foot?

Answers

It would be 294 because you are multiplying them together

just some math :> and meh needs halp



Answers

Answer:16

Step-by-step explanation:

5 times 2 is 10. 10 times 0 is 0. 1 times 6 is six

Type the correct answer in the box. Use numerals instead of words.
Jim Is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The average number of visits
on the website for 5 weeks is given in the table below.
Number of Weeks Avg. Number of Visits
0
48,000
1
24,000
2
12,000
3
6,000
4
3,000
1,500
5
9.
The percent decrease in the average number of visits each week since the end of the season was

Answers

Answer:50%

Step-by-step explanation:

Each week the number decreased by 1/2 which is equal to 50%. Therefore the average number of decrease per week is 50%. Hope this helped!!

could I by any chance get a brainliest?

The percent decrease in the average number of visits each week since the end of the season was 50%.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends.

The average number of visits on the website for 5 weeks is given

The average number of visits decreased by half each week.

So the percent decrease in the average number of visits each week since the end of the season was 50%

Therefore, the percent decrease in the average number of visits each week since the end of the season was 50%.

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What is the simplest form of this expression y2 (3y + 4) + 5y3

Answers

Answer:

y2 (3y + 4) + 5y3 :))

Step-by-step explanation:

please give me a good rating lol

Answer:

y2(3y+4)=5y3

Step-by-step explanation:

Find the midpoint between the points (-6, -2) and (-3, -7)

Answers

The midpoint is (-9/2, -9/2)

Answer:

(-4.5, -4.5)

Step-by-step explanation:

To find the midpoint add the x coordinates and divide by 2

(-6+-3)/2 = -9/2 = -4.5

Then add the y coordinates and divide by 2

(-2+-7)/2 = -9/2 = -4.5

Someone please explain these questions

Answers

Use a graphing calculator

Answer: You find it by using slope

Step-by-step explanation

If the graph is rising from left to right, like climbing a hill, the slope is positive (on a graph, you could count up y units divided by right x units). If it is going down from left to right (like sliding down a hill), the slope is negative (on a graph you have to count down y units and right x units).

ex: y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

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