These three points are collinear. (3, 6), (-2, -9), (0, -4)
True False

Answers

Answer 1

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)


Related Questions

Tran has a coin jar that contains​ nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar​ contain?

Answers

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

help me out? please !

Answers

Answer:

trapezoid

Step-by-step explanation:

$2000 is invested at a rate of 4.2% compounded annually. Identify the compound interest function to model the situation. Then find the balance after 7 years. A = 2000(1.042)^t; $2667.50 A = 2000(1.42)^4t; $2557.50 A = 2000(1.042)^t; $2337.50 A = 2000(14.2)^4t; $2447.50

Answers

Answer:

A = 2000(1.042)^t; $2667.50

Step-by-step explanation:

The formula or model for Compound Interest is given as:

A = P(1 + r/n)^nt

Where:

A = Amount or Balance after t years

P = Principal or initial amount invested = $2000

r = Interest rate = 4.2% = 0.042

t = Time in years = 7 years

n = Compounding frequency = Annually = per year = 1

Hence, the compound interest function to model for the situation (Question) with time t above is:

A = 2000(1 + 0.042) ^1 ×t

A = 2000(1.042)^t

Therefore solving for the balance

A = 2000(1.042)^7

A = 2,667.50

A = $2667.50

Therefore, option a =

A = 2000(1.042)^t; $2667.50

is the correct option.

Which is the best estimate of the difference between
6
7
8
and
2
1
8
?

A.
1

B.
3

C.
5

D.
8

Answers

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

PLEASE HELP DUE TMRW!
A furniture company buys chairs at wholesale price of $48. They mark
up the price so they make a 30% profit. How much will one chair sell for?

Answers

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation:

How many times do 5 go into 8

Answers

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

9% ___ 0.4 will give brainliest



pls help :)

Answers

Answer:

9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!

Step-by-step explanation:

pls help!!!
what would the answer be when it is in standard form.​

Answers

The answer in standard form is 0.297

7x^2a+7xa^2
Find the greatest common factor

Answers

Answer:

GCF is 7xa

Step-by-step explanation:

Answer:

hCf is 7ax

plz refer to the picture

plz mark as brainliest

if there are 93 calories in 3/4 cups how many calories are in 1 cup

Answers

93 = 3/4
?? = 1
Cross multiple
1(93)/(3/4) = 124

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

I need help with this ASAP and can you explain so i can understand?!

Answers

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

On Monday, I sold 5 small Christmas wreaths and 3 large Christmas wreaths for a total of $82. Let x represent the cost of small wreaths and y represent the cost of large wreaths. Write an equation to represent this situation.

Answers

Answer:

The equation is, [tex]5x+3y=82[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the cost of small wreaths.

So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].

Let [tex]y[/tex] represent the cost of large wreaths.

So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].

On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].

The equation is, [tex]5x+3y=82[/tex].

What is the solution of the system of equations shown in the graph below?

Answers

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

solve the equation -3x=9

Answers

Answer: x = -3

Step-by-step explanation:

-3x = 9

9 ÷ -3 = -3

:)

Answer:

x = -3

Step-by-step explanation:

-3x = 9

9 divide by -3 = -3

look at this please it would really help

Answers

i don’t know the answer to all but hopefully this will help u out a little bit:
0 hours would be 0 dollars of course
0.5 hours would be $2.50
1 hour would be $5
2 hours would be $10

The sum of two positive integers, x and y, is not more than 40. The difference of the two integers is at least 20. Chaneece chooses x as the larger number and uses the inequalities y<=40-x and y<=x-20

Answers

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

which the of triangles is similar to PQR​

Answers

Answer:

D

Step-by-step explanation

18/15=1.2

21/1.2=17.5

They Match!

I need loads of help

Answers

Answer:

2 8c+3

Step-by-step explanation:

Answer:

8c+3

Step-by-step explanation:

for #2

pls help I literally don’t get this

Answers

I put in all doc!!! Lmk if u have questions

IM BEING TIMED PLZ HURRY AND THANKS What is the sum of a° + c°

Answers

Answer:

300°

Step-by-step explanation:

a° is 180°

c° is 120° (from 180° = 60° + c°)

How can the slope of the line be interpreted? Every 98 words requires 312 minutes to read. Every 312 words requires 98 minutes to read. In each additional minute, approximately 98 more words are read. In each additional minute, approximately 312 more words are read.

Answers

Answer:

In each additional minute, approximately 312 more words are read.

Step-by-step explanation:

Given tbe sentences :

The slope is the rate of change per unit: in the context of the question, the number of word reads increases. By 312.

Hence, the slope according to the slope of the graph interpretation is that, the number of words read per minute increases by 312 as the value of minute increases by one minutes.


A picture 10 feet long is to be centered on a wall that is 15 feet long, How much space is there from
the edge of the wall to the picture?

Answers

Answer:

2.5

Step-by-step explanation:

15-10=5

5/2=2.5

PLEASE help mee. Explain and show work plsss.

Answers

6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right

BRAINLIEST! URGENT! I need help with this, the parabola is confusing me.​

Answers

D is the answer !!!!!

I don’t understand this

Answers

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

GIVING BRAINLIEST PLEASE HELP

Answers

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

X^2+3x+4=(x+a)^2+b what is A and B equal please help me

Answers

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75

Simplify the expression:

7(1 + 8v)

Answers

7 ( 1  +  8 )

simplify

1. rearrange terms

7(1 + 8v)

7(8v + 1)

2. Distribute

7(8v + 1)

56v + 7

Solution

56v + 7

In the hospital, 80 people were admitted Friday, 25% of these admissions were women in labor to have babies. How many women were in labor? O A 25 OB. 20 O C. 35 O D. 30

Answers

Answer:

Step-by-step explanation:

25% it means 1/4 of the total

1/4 of 80 is 20 (80/4=20)

answer B

expand and simplify (x-3)(2x+1)(3x-2)

Answers

Answer:

6x³ - 19x² + x + 6

General Formulas and Concepts:

Algebra I

Terms/CoefficientsExpand by FOIL (First Outside Inside Last)

Step-by-step explanation:

Step 1: Define

(x - 3)(2x + 1)(3x - 2)

Step 2: Expand

Expand [FOIL]:                     (2x² + x - 6x - 3)(3x - 2)Combine like terms:            (2x² - 5x - 3)(3x - 2)Expand:                                6x³ - 15x² - 9x - 4x² + 10x + 6Combine like terms:            6x³ - 19x² + x + 6
Ya what they said above, I need em points
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