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

find area round to nearest tength I’ll mark brainest

Answers

Answer:

12.5 sq. units

Step-by-step explanation:

Divide the blue triangle into two smaller triangles.

The length of their common base = 5 units

The height of the yellow triangle = 2 units

The height of the red triangle = 3 units

The area of the yellow triangle

= (5×2)÷2

= 5 sq. units

The area of the red triangle

= (5×3)÷2

= 7.5 sq. units

The total area

= 5+7.5

= 12.5 sq. units

Find the length of the segment below round to nearest tenth

Answers

The answer would be the square root of 41 or6.40

There is 20% of a 50lb. Bag of dog food left. How much has been used?

Answers

Answer:

40 lbs was used

Step-by-step explanation:

If there is 20% left, that means 80% was used

50 *80%

Change to decimal form

50 *.80

40

40 lbs was used

Someone please help with question 6 part a) and b) plsss I’m in a test!!!!

Answers

Answer: The triangles are congruent by the ASA similarity theorem.

Answer:

hi

Step-by-step explanation:

i think so,a)congruent

b)ASA

hope it helps

have a nice day

PLEASE ASNWER ILL GIVE YOU BRAINLIEST

Answers

Answer:

33 1/3%

Step-by-step explanation:

(672 - 600) / 4 = 72 / 4 = $18, which is 33 1/3%

Hope that helps! A Brainliest would be appreciated :)

Answer:

3%

Step-by-step explanation:

1) 672-600=72 = the simple interest

2) 72=600(4)r which equals 72=2400r

3) divide 72 by 2400 which get 0.03

4) 0.03 = 3%

ZABC and ZQRS are supplementary angles.
If the measure of ZABC = 60°, what is the
measure of ZQRS?
mZQRS = [?]°

Answers

Answer: [tex]120^{\circ}[/tex]

Step-by-step explanation:

Supplementary angles add to 180 degrees.

The product of 4 and triple the number 2

Answers

Answer:

32

Step-by-step explanation:

4 x 2 x 2 x 2 = 32

Triangle UVW has a perimeter of 11.5 units. Solve for y.

Answers

Answer:

The answer for y is 4 units

Step-by-step explanation:

The obvious question to ask in this situation is, “how many miles does Joseph travel on Mondays”? To compute, we each distance: 3 + 6 + 6 = 15.

Joseph travels 15 miles on Mondays.

Another way to work with this situation is to draw a shape that represents Joseph’s travel route and is labeled with the distance from one spot to another.

Notice that the shape made by Joseph’s route is that of a closed geometric figure with three sides (a triangle) (see figure 2). What we can ask about this shape is, “what is the perimeter of the triangle”?

Perimeter means “distance around a closed figure or shape” and to compute we add each length: 3 + 6 + 6 = 15

Our conclusion is the same as above: Joseph travels 15 miles on Mondays.

However, what we did was model the situation with a geometric shape and then apply a specific geometric concept (perimeter) to computer how far Joseph traveled.

Answer:

4 units

Step-by-step explanation:

8. You sold 1000 shares of Ibex for $10.50 per share. Your broker charges you a
commission of $3.25 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)

Answers

Answer:

Amount credit in account = $10,465.875

Step-by-step explanation:

Given:

Number of shares = 1,000

Selling price of each share = $10.50

Broker charges = $3.25 per 1,000 dollar

Find:

Amount credit in account

Computation:

Total sales value = Number of shares x Selling price of each share

Total sales value = 1,000 x 10.50

Total sales value = $10,500

Total broker charges = 10,500 [3.25/1000]

Total broker charges = $34.125

Amount credit in account = Total sales value - Total broker charges

Amount credit in account = 10,500 - 34.125

Amount credit in account = $10,465.875

what expression has a term with a base of 8

z^8
8^4
3xy+8
8m

Answers

8m is the correct answer

You may find using a number line to be helpful. Enter your answer as a simplified mixed number, if necessary.


4(− 2/3 ) =

Answers

Answer:

-2 2/3 or as a mixed number -8/3

Step-by-step explanation:

Answer: -2 2/3

Step-by-step explanation:

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 :)

NEED HELP FOR TEST!!!
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. B. Starting from a full tank, can Diego’s family drive the car for 25 days without the warning light coming on?

Answers

The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Step-by-step explanation:
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x


The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days

What is 1+1+3x3x3x3x3x90+2

Get all my points

Answers

21874 21874 21874 it

what is the missing value 4+9=9+?

Answers

Answer:

TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭

[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]

=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.

The missing Value is 4.

What is Commutative property?

According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.

Given Expression

4 + 9 = 9 + ?

According to Commutative  property

A + B = B + A

for expression

4 + 9 = 9 + 4

or let missing number be x

4 + 9 = 9 + x

x = 4 + 9 - 9

x = 4

Hence the missing value is 4.

Learn more about Commutative property;

https://brainly.com/question/778086

#SPJ2

Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?

Answers

Answer:

Measure of E'F' = 9

Step-by-step explanation:

If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.

Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]

[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]

E'F' = [tex]\frac{3}{4}\times 12[/tex]

      = 9

Therefore, measure of side E'F' will be 9.

What is the radius of the following Circle?
7 in
O
9 in
14 in
28 in
3.5 In

Answers

Hello!

This is strange. It seems to give you the answer.

I am assuming your teacher would just like you to identify what a radius is.

All the same, I'll let you know the equation for finding a radius.

r= d × 2 (D is equal to diameter, and r to radius)

If you were given the diameter,, you would simply multiply it by 2 to get your radius.

The correct answer to your question is:

7 inches.

waffletowne

what is the area of 12 1/2 yards by 17 1/5 yards

Answers

Answer:

The answer is more easily found if we convert the measurements to decimal.

It is now 12.5yards by 17.20 yards

= 12.5 x 17.2 = 215 square yards

Step-by-step explanation:

3.14(10)^(2)12

I cant figure this out

Answers

3.14(10)^2(12)

answer=3768

753.6 i think that is what i got.

What is the answer to this problem?

Answers

Answer:

wow very much hard lol I wish I could help

320÷÷((11−9)32(11−9)32) x 8 =

Answers

320÷((11−9)32(11−9)32) x 8

320÷((352-288)(352-288) x 8

320÷(64 x 64) x 8

320÷4096 x 8

0.078125 x 8

0.625

Answer:0.625

Can i have help I am stuck =(

Answers

Answer:

There are 64 cubes

The volume = L*W*H

If a varies inversely with b, and a=20 when b=1/4, find the equation that relates a and b

Answers

Answer:

Step-by-step explanation:

280ora

URGENT PLZ HELP

find measure angle LMN

Answers

Answer:

(14.3/(2*bi*h)) * 360

Use the calculator

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ф = s / r

Ф = 14.3 / 5

Ф = 2.86 radians

2.86 * 180 / [tex]\pi[/tex] = 163.865924 °

A number cube with the numbers 1 through 6 is rolled. How many total number of outcomes are there?
total number of outcomes

Answers

Answer:

6 outcomes

Step-by-step explanation:

If a number has the numbers 1-6, the sample space, or the number outcomes would be 6.I hope this helped! =)

Answer pls it’s due at 3

Answers

Answer:

24

Step-by-step explanation:

3*8 = 24

Rosa made a mosaic wall mural using 46 black tiles, 35 blue tiles and 19 red tiles.
Enter a percent to represent the number of red tiles in the mural.
The number of red tiles in the mural represents
%
What is the answer

Answers

Answer:

21%

Step-by-step explanation:

What is the decimal equivalent of the fraction 8/15?
0.53
_
0.53
Show work!!

Answers

9514 1404 393

Answer:

  0.533... (repeating)

Step-by-step explanation:

You will notice that the division problem repeats when the quotient digit is 3. The decimal equivalent is a repeating decimal with a 1-digit repeat. That digit is 3.

  [tex]\dfrac{8}{15}=0.5\overline{3}[/tex]

Answer:

0.5333333…. (3 repeated)

Step-by-step explanation:

8 goes on the inside of the house and 14 on the outside

*Not my handwriting. A friend wrote it and I did the math*

3. A rectangular prism has dimensions of 1/2 , 2, and 7/2 in.
(a) Determine the edge length of the largest unit cube that you could use to pack the prism. Explain.
(b) What is the volume of the prism? Explain.
(c) How many cubes with the edge length from part (a) will fit into the prism? Explain.

Answers

Answer:

A

Step-by-step explanation:

B.In

geometry, a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases. All cross-sections parallel to the bases are translations of the bases.

C.4 cubes is have

I hope it helps

find the y intercept on a graph​

Answers

Theres no picture or graph here.
There is no picture added
Other Questions
What was the process of exclusion experienced by the first independent republics of Latin America? A store sells ink jet printers and laser printers. On Monday, it sold a total of 100 printers. The store earns $40 profit for each ink jet printer sold and $55 profit for each laser printer sold. If the store's profits from printer sales were $4,600 on Monday, how many more ink jet printers were sold than laser printers? which property states what you do to one side you must do to the other app 19.studyToolsToolsProbabilityJacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results.Complete the table below.0.23237240.176180.0480.10422Result of RollFrequencyExperimentalProbability121330.14442950.2966ResetSubmit Crude oil is a liquid kind of what? 10 PTSS PLEASE GIVE RIGHT ANSWER!!!!!What are the threats to the ecosystems of West Africa? A sample of 125 pieces of yarn had mean breaking strength 6.1 N and standard deviation 0.7 N. A new batch of yarn was made, using new raw materials from a different vendor. In a sample of 75 pieces of yarn from the new batch, the mean breaking strength was 5.8 N and the standard deviation was 1.0 N. Find a 90% confidence interval for the difference in mean breaking strength between the two types of yarn. Is Prometheus a titan or god? What successes did the Civil Rights movement have? What were it's limits to success? A source current of 10 mA is supplied to a parallel circuit consisting of the following resistors three resistors, a 2200 a 500 and a 1KO. What is the source voltage required tosupply the current the primary spermatogecytes are formed? In which situation is it better to have low friction?It is not B or D plz help I pick brainly if right and plz explainA. a skydiver uses a parachuteB a student walks down a hallwayC. a ladder leans against the wallD. a hockey puck slides toward the goal Each spinner shown is divided into equalsections. Felix spins each spinner 30 times. Herecords the number of times each section isspun.(8)Red(7)Yellow(5)Blue(10)Green(8)E(3)Based on the results of the first 30 spins, whatis the probability that Felix will spin a green andan F on the next spin?A124BD Not here45 Hey can you help me fast!! The _______________ in sonata-allegro form is an optional ending in the tonic key. recapitulation exposition coda development answer for brainlest and 10 points Someone please help quick!!!! What volume of hydrogen (in L) is producedfrom the complete reaction of 3.143 moles ofhydrochloric acid at STP? 11 Alex earns $84 for 12 hours of work,a Write her rate of pay per hour,b Write the equation for Alex's total pay, P, after t hours of work, what bridge is the lowest bayonne, George Washington, Goethals,verrano