Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

Answers

Answer 1

Answer:

nose porque está en una idioma que no se

Answer 2

Answer:

see explanation

Step-by-step explanation:

To show the points are collinear, that is lie on the same line.

Then the slope between A and B, B and C must be equal

Calculate slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = A(- 3, - 1) and (x₂, y₂ ) = B(6, 5)

[tex]m_{AB}[/tex] = [tex]\frac{5+1}{6+3}[/tex] = [tex]\frac{6}{9}[/tex] = [tex]\frac{2}{3}[/tex]

Repeat with (x₁, y₁ ) = B(6, 5) and (x₂, y₂ ) = C(3, 3)

[tex]m_{BC}[/tex] = [tex]\frac{3-5}{3-6}[/tex] = [tex]\frac{-2}{-3}[/tex] = [tex]\frac{2}{3}[/tex]

Since the slope between the 2 segments are equal and there is a common point B.

Then the points A, B and C are collinear


Related Questions

The total cost of a vase of spring flowers at a flower shop depends on the number of flowers ordered. Each flower costs $2.50. Which equation represents the relationship between the total cost, y, to the number of flowers, x?

Answers

Answer:

D. y=2.50x

Step-by-step explanation:

Since the equation asks for the total cost of a vase of flowers (y) that goes on the left side. Each flower costs 2.50 and the flower shop depends on the number of flowers ordered, which makes it a variable. Therefore C is wrong because it has 2.50 as a constant.

The ending equation will be y = 2.50x

Written in context this means that the total cost of a vase of flowers is equal to the cost of each flower (2.50) by how many flowers are ordered.

I hope this helps!!

- Kay :)

What is the circumference of the following circle?
diameter=9cm

Answers

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

I JUST NEED SOMEONE TO ANSWER THIS ONE QUESTION PLEASE!


Can a set of data have more than one line of best fit? Why or why not?

Answers

2 Answers. It is certainly possible (in mostly silly cases). For example, suppose you sample the same x value twice and get two experimental y values that differ. One such case might be getting the points (0,−1) and (0,1) if we sample x=0 twice.

Answer:

yes because for data you need more than one line.

Step-by-step explanation:

PLz help I will give brainliest!!!!! and extra points

Answers

Hey there!

The answer to your question is [tex]95.55[/tex]

Formulas:

Area of semi-circle = [tex]\frac{1}{2}(\pi r^2)[/tex]

Area of rectangle = [tex]lw[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

Now solve:

semi-circle

[tex]\frac{1}{2}\pi3^2[/tex]

[tex]\frac{1}{2}\pi9[/tex]

[tex]4.5\pi[/tex]

(We will use 3.14 as approx. for pi)

[tex]4.5 * 3.14\\23.55[/tex]

rectangle

[tex]10(6)\\60[/tex]

triangle

[tex]\frac{4(6)}{2}[/tex]

[tex]\frac{24}{2} \\12[/tex]

Now add them all together:

[tex]23.55+60+12\\95.55[/tex]

Have a terrificly amazing day!

the image is the problem:




ty :P

Answers

answer: the slope is 2/3

Can someone help me with this question? -3 + (x + 5) + 3

Answers

Answer:

+11

Step-by-step explanation:

3 friends want to go for a hike. (Level 4)They pack enough water to last for 6 hours. 3 more people join the hike.How long will their water last now?

Answers

Answer:

3 hours

Step-by-step explanation:

Because first 3 friends have water that last 6 hours when you double the amount of people you get less water, I don't speak good English to explain but you have to subtract 3 from 6 because 3 is amount of people that need water that lasts 6 hours and when you have more people you get less water sooooo you subtract 3 from 6.

Hope you understand!


Brett needed to repair a window that sat 12 feet
high on a house. He has a 15 foot ladder. How far away
must he set the ladder from the base of the house for it
to reach the window exactly?
3 ft
65 ft
© 9 ft D 6 ft

Answers

9 feet

Use Pythagorean theorem:
Leg: 12
Hypotenuse: 15

12^2 + x^2 = 15^2
144 + x^2 = 225
x^2 = 81
x = 9

We have 6 face red cards (JQK x 2) and 16 black cards, so a total of 22 cards.The red face cards and the black cards numbered 2-9 are put into a bag. Four cardsare drawn at random without replacement. Find the following probabilities:
a) All 4 cards are red
b) 2 cards are red and two cards are black
c) At least one of the red cards is red.
d) All four cards are black

Answers

Answer:

I dont know

Step-by-step explanation:

only doing it for points

Question 9 options:
Review the diagram below.



Apply the properties of angles to solve for the missing angles.

Angle x is

Answers

Answer:

Angle X is 122°

Step-by-step explanation:

Because it's a 180° line (supplementary angle thm):

180°-58°=122°

Answer:

y = 62  

x = 122

Step-by-step explanation:

58 + 60 = 118

118 - 180 = y

118 - 180 = 62

y = 62

x = 180 - 58 = 122

John and Tom invited 27 friends to make popcorn and watch an outdoor movie. Tom invited twice as many friends as John. How many did each brother invite? nice step by step work pls

Answers

Answer:

Step-by-step explanation:

Remark

You can do this with just 1 unknown.

John = x

Tom = 2x

Solution

x + 2x = 27               Combine the left

3x = 27                     Divide by 3

3x/3 = 27/3

x = 9

Conclusion

John invited 9

Tom invited 18

PLEASE HELP THIS IS DUE TODAY!!​

Answers

Answer:

254 in

Step-by-step explanation:

1 yard = 36 in

7 yards = 36 (7)

7 yards = 252

add 2

254 in

:)

Answer: 254 inches

Step-by-step explanation:

1 yard= 36 inches x 7 (yards) + 2 inches= 254 inches

find the 41st term of the arithmetic sequence
87, 89, 91

Answers

Answer:

167

Step-by-step explanation:

Its simple

HELP ASAP 10) Determine the volume; just answer without the units
B
9.5 in.
3.75 in.
8 in.

Answers

Answer:

Volume is 285

Step-by-step explanation:

We start by calculating the area of the base

Mathematically, we have a rectangle as the base

So, the area of the base will be;

3.75 * 8 = 30

We now multiply this by the height to get the volume

we have this as:

30 * 9.5 = 285

How many solutions will this equation have? 2(x + 4) = 2x + 8

Answers

Answer:

None

Step-by-step explanation:

This type of equation is a tautology, it will always be true

We want to see how many solutions does the given equation has.

We will see that the equation has infinite solutions.

The given equation is:

2(x + 4) = 2x + 8

To find how many solutions it has, we need to solve it, we first can distribute the product at the left to get:

2(x + 4) = 2x + 8

2x + 2*4 = 2x + 8

2x + 8 = 2x + 8

Note that we have the exact same thing in both sides, so the value of x can be any real number, and the equation will still be true.

This means that there are infinite solutions for the given equation.

If you want to learn more, you can read:

https://brainly.com/question/16797952

You are offered a job that pays a different amount each day. The
first day, you are paid l¢. The second day you are paid 2¢. The
third day you are paid 4¢. Each day, your pay continues to
double. Write an equation that would describe the amount, in
cents, you would be paid on a particular day.

Answers

Answer:

Salary by day = .01 * 2^(n-1)

where n = # of days so

day 1 = .01 * 2^(1 -1) = .01 * 2^0 = .01

day 2 = .01 * 2^(2 -1) = .01 * 2^1 = .02

day 3 = .01 * 2^(3 -1) = .01 * 2^2 = .04

day 4 = .01 * 2^(4 -1) = .01 * 2^4 = .08

Step-by-step explanation:

Solve the system by substitution.
y =
-4x
y = x - 5

Answers

Answer:

x=-1

Step-by-step explanation:

thanks I'm done pls

Answer: 1,-4

Step-by-step explanation: I noticed there are no steps for this one so I will go ahead and put them.

-4x+x=x-5+-x

combine:

-5x/5=-5/-5

x=1

Substitute:

y=-4x(1)

y=-4

so we get 1,-4

peter weighs 8kg heavier than Ailen.If 5/7 of Peter weight is 35kg,what is their total weight?​

Answers

5/7 = 35 kg

1/7 = 7 kg

Peter weighs 49 kg

49 - 8 = 41 kg

Ailen weighs 41 kg

49 + 41 = 90kg

Their total weight is 90 kg

Answer:
90 kg
Step-by-step explanation:
P= 8+x
A=x
5/7 of _=35kg= 49- Peter
49-8=41-Alien
49+41= 90kg

D Find two solutions to the equation 5 y = 8 Complete the statements below.​

Answers

Step-by-step explanation:

(1,5/8), (2,5/4) those are the two solutions

Quadrilateral A'B'C'D'is a rotation of quadrilateral ABCD 180° about the origin.
What is the length of A'B'?

A. 6 units
B. 7 units
C. 3 units
D. 4 units

Answers

Answer:

Answer- B, 7 units

Step-by-step explanation:

I took the quiz

A.P.E.X

The length of side A'B' is 7 units, so the correct option is B.

What is the length of A'B'?

We know that the side length is invariant under rotations, that means that the equivalent sides of the preimage and the image have equal length, then:

AB = A'B'.

We can see that AB=  7, then we can conclude that the correct option is B.

A'B' = 7 units.

Learn more about rotations at:

https://brainly.com/question/26249005

#SPJ2

Dustin Ambrose is married and claims 3 allowances. His gross weekly pay is $628.00. Each week he pays federal, Social Security, and Medicare taxes, $52.00 for medical insurance, and $23.50 toward his retirement fund.

Answers

Answer:

еиниемксцчуиетнмкчеимусцсуиеи

the nth term of 17,29,41,53,65

Answers

Answer:

12n+5

Step-by-step explanation:

The difference is 12 so that means n is 12 and the +5 is what the number in the sequence is before 17

Graph the solution of the inequality on a number line. 2(x - 3) - 5x < x-2​

Answers

Answer:

good luck with this, i have got a good mark in this lesson back then and i would gladly like to help you miss gilr

Step-by-step explanation:

Option D is representing the inequality 2(x - 3) - 5x < x-2​ on the number line.

What is a number line?

A number line in elementary mathematics is a representation of a graduated straight line that serves as an abstraction for real numbers, represented by the symbol R."

It is assumed that every point on a number line corresponds to a real number and that every real number corresponds to a point.

Given that the inequality is 2(x - 3) - 5x < x-2​. The inequality will be solved as,

2(x - 3) - 5x < x-2​

2x - 6 - 5x < x - 2

-3x - 6 < x - 2

-3x - x < 6 - 2

-4x < 4

x > -1

The number line of the inequality is attached with the answer below.

To know more about number lines follow

https://brainly.com/question/28516910

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Find x, the angle of depression from the top of a lighthouse that is 199 ft above water level to the waterline of a ship 1104 ft off shore. Round your answer to the nearest tenth of a degree.

Answers

Answer:

10.2°

Step-by-step explanation:

I'm not sure if my answer is correct and I'm not too good at explaining but I'll try.

The height of the triangle would be 199 ft and it's length would be 1104 ft. Since were looking for the angle of depression, the angle would obviously be outside of our triangle (as shown in the picture). The height and length wouldn't change at all so we can just label the imaginary lines with their corresponding measurements.

The angle that we're looking for is marked in the picture. Since we are given the opposite and the adjacent side, we can use the inverse of tan to figure out our angle, which is 10.2°.

You can also use the "Z" rule and our angle would be where it's shown in the third picture. Nothing would change because our opposite side would still be 199 ft and our adjacent side would still be 1104 ft.

Finding which number supports the idea that the rational numbers are dense in the real numbers?

Answers

Answer:

an integer between –11 and –10

a whole number between 1 and 2

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

SYSTEMS OF EQUATIONS WORD PROBLEM: The members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 people. By selling​ tickets, the members would like to raise ​$3,350 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$8.50. Let s represent the number of student tickets sold at ​$5.50 each. If all 500 seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$3,350​? At one performance there were two times as many student tickets sold as adult tickets. If there were 360 tickets sold at that​ performance, how much below the goal of ​$3,350 did ticket sales​ fall?

Answers

first question: Number of student's ticket(s) = 400

And number of adult's ticket(d) = 100

Second question: The goal of $3050 fell by $710

need help on this.....

Answers

Answer:

Possible answers 224   -2   23

Step-by-step explanation:

First, solve the inequality, but it is solved already in simplest form.

r can be anything less than or equal to 225

Possible answers 224   -2   23

As long as your answers are less than 225, it would be correct

6) Two boats set off from X at the same
time (below). Boat A sets off on a bearing of 325° and with a velocity of
14 km/h. Boat B sets off on a bearing of 2350 with a velocity of 18 km/h.
Calculate the distance between the boats after they have been travelling
for 2.5 hours. Give your answer to the nearest metre.
A
N
X Х
B​

Answers

Answer:

The distance between the two boats after 2.5 hours is 57 m.

Step-by-step explanation:

The distance covered by each boat after 2.5 hours are:

speed = [tex]\frac{distance}{time}[/tex]

distance = speed x time

For boat A, speed = 14 km/h and time = 2.5 hrs.

So that,

distance = 14 x 2.5

              = 35 km

For boat B, speed = 18 km/h and time = 2.5 hrs.

So that,

distance = 18 x 2.5

              = 45 km

The distance between the two boats after travelling 2.5 hours can be determined by applying the cosine rule. Let the distance be represented by x, so that:

[tex]a^{2}[/tex] = [tex]b^{2}[/tex] + [tex]c^{2}[/tex] - 2bc Cos A

[tex]x^{2}[/tex] = [tex]45^{2}[/tex] + [tex]35^{2}[/tex] - 2(45 x 35) Cos [tex]90^{o}[/tex]

   = 2025 + 1225 - 3150 (0)

   = 3250

x = [tex]\sqrt{3250}[/tex]

  = 57.0088

x = 57.0 m

The distance between the two boats after 2.5 hours is 57 m.

I need help with this question

Answers

Answer:

it's 324

Step-by-step explanation:

divide 72 by 4 to get one side, then multiply the side by itself, 18 times 18

The measure of the sides of a triangle are 43, 72, and 91. Use the Pythagorean theorem to classify the triangles as acute, obtuse or right.

Answers

Answer:

i tjink its obtuse im not quite sure though im so sorty if its wrong.

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