prove that the points A(1 , -1 ) B(5, 2) C(9, 5) are collinear.​

Answers

Answer 1

Answer:

AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]

BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]

AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]

So, AC = AB + BC

A, B, C are collinear points

Step-by-step explanation:

I hope this helps!


Related Questions

Graph the line passing through (4, -1) whose slope is m = 4/3

Answers

9514 1404 393

Answer:

  graph is attached

Step-by-step explanation:

With the given slope, the intercepts will not be at integer values. The best way to graph this by hand is to start at the point (4, -1) and use the slope to identify other points on the line.

The slope of 4/3 tells you the graph will rise 4 units for each 3 units to the right. So, another point will be (4, -1) + (3, 4) = (7, 3). A point in the other direction will be (4, -1) -(3, 4) = (1, -5). These points are sufficient for you to draw the desired line.

3. Which of the following expressions is
equivalent to 6(9 + 4)? (Lesson 7.8)

Answers

Answer:

D

Step-by-step explanation:

6(g + 4)

we distribute the 6 to the terms in the parenthesis.

(6 × g) + (6 × 4)

(6g) + (24)

6g + 24

Evaluate the expression when n =4 n^2 - 5n+6​

Answers

Answer:

2

Step-by-step explanation:

[tex]4^{2}[/tex] = 16

5 x 4 = 20

16 - 20 = -4

-4 + 6 = 2

give brainllest plz

Please help me on this for my quiz: If the point (2, -10) lies on the graph of a direct variation, which represents the direct variation equation?

Answers

Answer:

k = -5

Step-by-step explanation:

Direct variation formula:

y = kx

Given:

x = 2

y = -10

Work:

y = kx

-10 = 2k

k = (-10)/2

k = -5

Which of the following is the solution to 8 - 3x =41

A) X=11
B) x=16
C) X=-5
x=-11​

Answers

Answer:

x = -11

Step-by-step explanation:

Because 3 x -11 = -33 and

8 -(-33 = 41

Answer:

x=-11

Step-by-step explanation:

8_3x=41

_3x=41-8

_3x=33

Scroll on _3x For both parties

x=11

Plz help me well mark brainliest if you are correct!!

Answers

Answer:

3

Step-by-step explanation:

1 hour = 60 minutes.

1/4 of an hour = 60 minutes / 4 = 15 minutes.

15 minutes / 5 minutes segments = 3

There are 3 five-minute segments in 1/4 of an hour

Answer:

C.

Step-by-step explanation:

Answer is C. because there are a total of 60 minutes in 1 hour. We know that there is 30 minutes in half a hour. Half of 30 minutes is 15 minutes and it takes 3 five minute segments to get 15 minutes.

You can do it like this 60 * 1/4 = 60/4

60/4 = 15/1

15 = 5 * 3

i’m confused? this lesson was so confusing

Answers

Answer:

A. leg

Step-by-step explanation:

Which expression is equivalent to 4/9 × 7

key:
1. 9÷4×7
2. 4×7÷9
3. 4÷7×9
4. 7×9÷4

Thank you :)​

Answers

2 is the correct answer

Solve for r. Show your work!

12 = r - (34 - 2)

Answers

Answer:

44

Step-by-step explanation:

12 = r - (34 - 2)

12 = r - 32

12+32 = r

r=44

Answer:

yEE-

Step-by-step explanation:

Are these slopes equal? Explain if they are or if there not.

Answers

Answer:

Yes

Step-by-step explanation:

When dividing (or multiplying) two negative numbers, you end up with a positive number. The other slope is already positive. So 4/5=4/5

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Answers

Answer:

Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta

Sam drew this 40° angle on his paper. What size angle should he draw to make a pair of complementary angles?

Answers

Answer:

52

Step-by-step explanation:

40(x)=52

Answer:

50°

Complentary angles are two angles that sum up to 90°

So 50+40=90

Write down and simplify expression of the perimeter of the shape below.
Simplified Please !

Answers

Answer:

[tex]P = 4x+4[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Determine the perimeter (P)

This is calculated by adding the measure of the three sides.

So, we have:

[tex]P = 2x-3 + x + 5 +x + 2[/tex]

Collect like terms

[tex]P = 2x +x +x-3 + 5 + 2[/tex]

[tex]P = 4x+4[/tex]

Factorize

[tex]P = 4(x+1)[/tex]

Hence, the perimeter is 4x + 4 or 4(x + 1)

(PLSSSS HELP, MY FATE IS IN YOUR HANDS) Determine which three out of the six points shown below are a solution to the equation x-3y=22 Plot the three points that are in the solution set, draw a line through the three points and then answer the questions below.

Answers

Answer:

The required points are -

(-2,8), (7,5), (1,7)

CE and FH are parallel lines.

Which angles are supplementary angles?

Answers

Answer:

<CDG and <CDB are supplementary angles.

Answer:

hff

Step-by-step explanation:

< CDG and <CDB are supplementary angles.

msm555 is correct

hope it is helpful to you ☺️☺️☺️

Need help on this please asap.

Answers

Answer:

This is confusing

Step-by-step explanation:

multiplying and simplify radicals!

if u get it right I’ll give brainliest (show work pls!!!)

Answers

Answer: 8

Explanation: To multiply two square roots together, simply multiply the numbers inside the square roots together to get [tex]\sqrt{64}[/tex] which is 8.

Notice that when you multiply a square root times itself, the radical disappears, and you're left with the number inside the original square root.

The rate at which a quantity M of a certain radioactive substance decays is proportional to the amount of the substance present at a given time. Which of the following is a differential equation that could describe this relationship?
1. dM/dt = -3.72 t^2
2. dM/dt = -0.11M
3. dM/dt = 0.08 t^2
4. dM/dt = 1.2M

Answers

Answer:

2. dM/dt = -0.11M

Step-by-step explanation:

Differential equations for proportional amouts:

A differential equation for proportional amounts is given by:

[tex]\frac{dx}{dt} = ax[/tex]

In which a is the constant rate. If the amount increases, a is positive. If it decays, b is positive.

In this question:

Decays, so a < 0.

Proportional to the amount of the substance present at a given time, which means that a multiplies the amount M.

This means that the correct answer is given by option 2.

Suppose there is a bag of 10 marbles. Of the 10 marbles, 5 are blue, 3 are green, and 2
are black. What is the probability of drawing three marbles and having all three be green,
with replacement

Answers

Answer:

27/1000

Step-by-step explanation:

P(G,G,G) = 3/10 x 3/10 x 3/10

Step by step explanation please!!

Answers

Answer:

what do you mean on the question?

Step-by-step explanation:

A recent hailstorm caused $1200 worth of body damage to Karen's car. Based
on Karen's insurance policy given below, how much money will Karen receive
after she files her claim?
Summary
Comprehensive Deductible: 333
Collision Deductible: 5550
Premium of $625 for 4 months
A. $625
B. $825
O C. $375
Ο Ο
D. $1200

Answers

Answer:B

Step-by-step explanation:

$825

If you have 10 tennis players in a round-robin tournament. How many games will they need to play before each player has played every other player?

Answers

Answer:

6

Step-by-step explanation:

i just had the same question :)

30 POINTS!!!Which of the following shows the polynomial below written in descending
order?
5x4 +16x5 + 6 + 4x10 + x

Answers

Answer:

d

Step-by-step explanation:

it should be the one with the greatest power to the lowest power If I remember correctly.

Answer:

The answer is D

Step-by-step explanation:

It is descending from greatest to least

At West High School, 10% of the student population is taking a calculus course, 8% is taking a physics course, and 6% is taking both. Find the probability that a student chosen at random is taking a physics course, given that the student is taking a calculus course. A. 0.06 B. 0.60 C. 0.70 D. 0.75

Answers

Answer:

the closest answer I got was A

Step-by-step explanation:

hope this helped at all

Answer:

It's B

Step-by-step explanation:

-> What is the remainder of 46 divided by 48?

Answers

one 1

please mark in brain list

the answer would be 0.9583

a 56-inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and the third piece is four times as long as the first piece if x represents the length of the first piece find the length of all three pieces ​

Answers

Step-by-step explanation:

length of 1st piece = x inch

length of 2nd piece = 3x inch

length of 3rd piece = 4x inch

x + 3x + 4x = 56

8x = 56

x = 7

Thus,

length of 1st piece = 7 inch

length of 2nd piece = 3 × 7 = 21 inch

length of 3rd piece = 4 × 7 = 28 inch

For questions 3 that’s all i need help please !!! For a test and please put your answers below !!! It’s not D because one of friends had took it already and told me he choose D and it was incorrect. Thank you.

Answers

Answer:

56,067

Step-by-step explanation:

there are 52 weeks in a year. and they work 40 hours a week.

[tex]26.96*40=1078\\1078*52=56,067[/tex]

Answer:

The answer is C.

Step-by-step explanation:

What is the value of x?


Enter your answer in the box.

x =

$\text{Basic}$
$x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$
$x\frac{ }{ }$
$x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$
The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.

Answers

Answer:

That did not make sense

Answer:

x = 3

Step-by-step explanation:

Verified correct with test results.

Just had to delete the jibberish to find the actual question for this problem:

The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x. What is the value of x?

its de in 20 min help me pls and thank you

Answers

Factor: (x - 8)(x - 4)
Zeros: x = 8, 4
Square: (x - 6)^2 - 4
Vertex: y = (x - 6)^2 - 4
X intercepts: (8,0), (4,0)
Y intercepts: (0, 32)

What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.

Answers

Answer:

13/52

Step-by-step explanation:

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