When the points below are connected, they will form triangle ABC. Show and state whether this triangle has a right angle or not. (Hint: Use slope to prove that there is a 90 degree angle) Drawing a graph will not award you any marks. *

A(-6,3) B(0,5) C(2,-1)

PLS HURRY I NEED ALL THE STEPS TOO THANK YOU!!!!!

Answers

Answer 1

Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees


Related Questions

What is the value of the exponential expression below?
1
363
A. 3
B. 18
C. 12
O D. 6

Answers

Answer:

the answer is D which is 6


An object travels along a horizontal straight path at a constant rate. The object travels 1/20 of the length of

the path in 3/4 second. At that rate, how many seconds does it take the object to .travel the entire length of the
path?

A. 15
B. 15 3/4
C. 20
D. 20 3/4

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D -20 multiply by 3 or 4 . In this question for entire time we have multiply the given time with the whole length

solve the inequality -24< x - 3 - 8x

Answers

Answer:

x = 3

Step-by-step explanation:

-24 < x - 3 - 8x

-24 < -7x - 3

-24 + 3 = -21

-7x - 3 + 3 = -7x

-21 = -7x

-21 / -7 = 3

-7x / -7 = x

3 = x

I bought 8 chairs costing x dollars each, and a table for y dollars. How much more did I pay for the chairs than for the table?

Answers

8x+1y will be the answer

Answer:

8x- y

Step-by-step explanation:

In a certain triangle, two of the sides have measures of 8 and 10. If the triangle is isosceles, then which of the following could be the measure of the third side?
A. 18
B. 2
C. 20
D. 8

Answers

Answer:

C. 20 could be the third side of the isosceles triangle

My birthday is tomorrow I'm going out of town:) trying to get these hope I do

Answers

That would be really nice, I like the black one with the four circles. Hope you get them :) happy early birthday

Answer:

i hope you do too

Step-by-step explanation:

a fidget spinner? HJBDH

What is the graph of the equation y + 3 = 2(x + 3)?

Answers

Answer:

y + 3 = 2(x + 3)

[point-slope; y – y₁ = m(x – x₁)]

y = 2x + 3 [slope-intercept; y = mx + b]

2x – y = -3 [standard form; ax + by = c]

Leah asks people at a theater how old they are. She finds that 8 out of
75 people are under the age of 12. If there are 2,434 people at the theater, how many people can Leah expect to be under the age of 12 based on the experimental probability?

Answers

Answer:

9

Step-by-step explanation:

is it a acute, obtuse, or Right

Answers

Answer:

Right triangle

Step-by-step explanation:

it has one 90 degree angle

Answer:

Right Triangle

Step-by-step explanation:

Mary sells $26,012 worth of sports equipment. Her rate of commission is 4.8%. What is her commission on that sale? Round to the nearest hundredth

Answers

Answer:

8,000 ordinary income and $1,000 Section 1231 gain

Step-by-step explanation:

Solve the system of equations

2x+3y= 6
x+y=4

(6,-2)
(-2,6)
(-3, 4)
(0, 2)

Answers

Answer:

Step-by-step explanation:

2x+3y= 6     ========================>>>           2x +  3y = 6

x+y=4    =====   times both sides by 2  =====>>>    2x + 2y = 8

             ==== subtract these two equations ==>>  (2x - 2x) + (3y - 2y) = 6 - 8

                                                                                       0x     +      y       =   -2

        y = -2     so if  x + y = 4             plug in -2 where y was

                             x + (-2) = 4              add 2 to both sides

                                    x   =  6

(6,-2)

(-2,6)

(-3, 4)

(0, 2)

What decimal is equal to 1/4?

Answers

Answer:

0.25

Step-by-step explanation:

write 1/4 as a decimal you have to divide numerator by the denominator of the fraction. We divide now 1 by 4 what we write down as 1/4 and we get 0.25. And finally we have: 1/4 as a decimal equals 0.25.

Answer:

0.25

Step-by-step explanation:

[tex] \frac{1}{4} \\ = 0.2[/tex]


Please please help help me please please!!!

Answers

Blank 1: -5
Blank 2: E

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

What is Number Line?

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

The numbers on the number line increase as one moves from left to right and decrease on moving from right to left.

According to the given number line,

The coordinates of point B are located at -5 on the number line, and Point A is located at -8 on the number line. The reflection of point A on the number line is the coordinates of point E.

Thus, Point B is at -5 on the number line, whereas Point A is at -8 on the number line. Point E is the number line's reflection of point A.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ2

Lindas aunt zoe charges her a nominal amount for watching her two children aunt zoe charges $2.50 per day plus $1.75 per hour one day linda paid her aunt $14.75 how many hours did aunt zoe watch the children

Answers

Answer:

7 hours

Step-by-step explanation:

the function of the earning of Zoe = 2.50 + 1.75h

2.5 = base fixed amount

1.75 varies based on the hours

h = hours

2.50 + 1.75h = 14.75

to solve for h

subtract 2.5 from both sides and then divide by 1.75

14.75 - 2.5 = 1.75h

12.25 = 1.75h

h = 7

What is the domain of the function y=2/x-5

Answers

Hey there is no real answer

the perimeter of a square is 72cm what is the area of the square​

Answers

Answer:

the area is 324 cm²

Step-by-step explanation:

Answer:

area = 324 cm²

Step-by-step explanation:

since it's  a square, all sides are equal in length.

72/4 = 18

18 x 18 = 324 cm²

PLS HELP AND EXPLAIN HOW TO DO IT ASWELL ILL MARK YOU BRAINLIEST ​

Answers

Answer:

251.33 = 251

Step-by-step explanation:

V= πr²h = π·2²·20 ≈ 251.32741 = 251.33

Answer:

Step-by-step explanation:

simplify the expression

5 - 8q + -q + -6​

Answers

here hope this helps :)

What are the coordinates of A' if it is reflected over the line x= -3?

Answers

Don’t open that ^ it’s a virus

T-3.7=1.2? What is the T? Plz help

Answers

Answer:

T = 4.9

Step-by-step explanation:

Just add 3.7 and 1.2 to get 4.9

T would be 4.9 because you would add 3.7 to both sides to cancel it out

Ricardo is buying juice boxes for snack packs. Which is the best buy?

Answers

Ummm I don’t find a way to give this a response, but the Best Buy it would be snack packs because he’s getting a finance

Yesenia is painting the front of the figure below in pink paint. The structure is made
of a cube and a triangular prism.
10.3 feet
9.2 feet
12.5 feet
How much paint does Yesenia need to paint the frorlt of the figure?
100 square feet
115 square feet
179 square feet
213 square feet

Answers

Answer:

I cant see the link, try reposting...

Step-by-step explanation:

My sisters name is yesenia

hii please help i’ll give brainliest

Answers

The answer is 2 (2x^4)
The answer is 2.

The coefficient of x^4 is 2.
2x^4

Plllsss help!!!
What is the value of x?​

Answers

Answer:

X = 149

Step-by-step explanation:

A full circle is 360 degrees

Add 160+51=211

360-211=149

Answer:

x = 58

Step-by-step explanation:

The secant- tangent angle is half the difference of the intercepted arcs , then

[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )

160 - x = 102 ( subtract 160 from both sides )

- x = - 58 ( multiply both sides by - 1 )

x = 58

Firewood is often sold by the cord. A cord of wood is a bundle measuring 4 feet by 4 feet by 8 feet. What’s the volume of a cord of wood in cubic feet? A. 128 cu. ft b. 3,456 cu. ft c. 4.74 cu. ft D. 64 cu. ft.

Answers

Answer:

128 cu. ft

Step-by-step explanation:

4 x 4 x 8 = 16 x 8 = 128

What is the formula for total surface area of
cylinders?

Thanks in advance

Answers

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Step-by-step explanation:

The population of rabbits on an island is growing exponentially. In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800. Predict the population of rabbits in the year 2003, to the nearest whole number.

Answers

Answer:

3,240

Step-by-step explanation:

The computation of the population of rabbits in the year 2003 is shown below:

Given that

In the year 1995, the population of the rabbits was 1000

And, in 1999 the population of the rabbits grown to 1,800

So there is an increase of

= (1800 - 1000) ÷ 1000

= 80%

So for 2003, the population of the rabbits is

= 1800 + (1800 × 0.80)

= 3,240

Given:

The population of rabbits on an island is growing exponentially.

In the year 1995, the population of rabbits was 1000, and by 1999 the population had grown to 1800.

To find:

Expected population of rabbits in the year 2003, to the nearest whole number.

Solution:

The exponential growth model is:

[tex]y=ab^t[/tex]

Where, a is the initial value, b is the growth factor, t is the number of years.

Let y be the population of rabbits t years after 1995.

In the year 1995, the population of rabbits was 1000, it can be written as (0,1000) and by 1999 the population had grown to 1800, it can be written as (4,1800).

For (0,1000),

[tex]1000=ab^0[/tex]

[tex]1000=a(1)[/tex]

[tex]1000=a[/tex]

For (4,1800) and a=1000, we get

[tex]1800=1000b^4[/tex]

[tex]\dfrac{1800}{1000}=b^4[/tex]

[tex]1.8=b^4[/tex]

[tex](1.8)^{\frac{1}{4}}=b[/tex]

[tex]b\approx 1.1583[/tex]

The required exponential model is:

[tex]y=1000(1.1583)^t[/tex]         ...(i)

in year 2003, the number of years since 1995 is 8.

Putting t=8 in (i), we get

[tex]y=1000(1.1583)^8[/tex]

[tex]y=3240.1748[/tex]

[tex]y\approx 3240[/tex]

Therefore, the population of rabbits in the year 2003 is 3240.

Here is a linear equation in two variables: 2x+4y−31=123. Solve the equation, first for x and then for y.

Answers

Answer:

[tex]x = 77 - 2y[/tex]

[tex]y = \frac{77 - x}{2}[/tex]

Step-by-step explanation:

Given

[tex]2x + 4y - 31 = 123[/tex]

Required

Solve for x and for y

[tex]2x + 4y - 31 = 123[/tex]

Add 31 to both sides

[tex]2x + 4y - 31+31 = 123+31[/tex]

[tex]2x + 4y = 154[/tex]

Solving for x

Subtract 4y from both sides

[tex]2x + 4y - 4y = 154 - 4y[/tex]

[tex]2x = 154 - 4y[/tex]

Divide by 2

[tex]x = 77 - 2y[/tex]

Solving for y

[tex]2x + 4y = 154[/tex]

Subtract 2x from both sides

[tex]2x - 2x + 4y = 154 - 2x[/tex]

[tex]4y = 154 - 2x[/tex]

Divide by 4

[tex]y = \frac{154 - 2x}{4}[/tex]

Split

[tex]y = \frac{77 - x}{2}[/tex]

Three prime numbers that can be multiplied to get 825

Answers

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Help Me, Now! B. What is the value of each funtion at x = 1?​

Answers

Answer:

Step-by-step explanation:

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