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3 years ago

9

The point-slope form of the equation of the lin that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standa

rd form of the equation for this line?

1 answer:

Natali5045456 [20]3 years ago

4 0

I got -x+y=11 but I’m probably wrong lol

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What are the factors of 252 .

Naya [18.7K]

Answer:

252 is a composite number.

Prime factorization: 252 = 2 x 2 x 3 x 3 x 7, which can be written 252 = (2^2) x (3^2) x 7

The exponents in the prime factorization are 2, 2, and 1. Adding one to each and multiplying we get (2 + 1)(2 + 1)(1 + 1) = 3 x 3 x 2 = 18. Therefore 252 has 18 factors.

Factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Factor pairs: 252 = 1 x 252, 2 x 126, 3 x 84, 4 x 63, 6 x 42, 7 x 36, 9 x 28, 12 x 21, or 14 x 18

Taking the factor pair with the largest square number factor, we get √252 = (√7)(√36) = 6√7 ≈ 15.875

Step-by-step explanation:

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4 years ago

Read 2 more answers

A sales manager for an advertising agency believes that there is a relationship between the number of contacts that a salesperso

serg [7]

Using variable concepts, of dependent and independent variables, it is found that the dependent variable is the amount of sales dollars earned.

<h3>What is the relation between a function and the dependent and independent variables?</h3>

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, <u>x is the independent variable and y is the dependent variable</u>.

That is, the input of the function is the independent variable and the output is the dependent variable.

In this problem, the manager believes that the amount of sales dollars earned is a function of the number of contacts that the salesperson makes, hence:

The number of contacts is the independent variable.

The amount of sales dollars earned is the dependent variable.

More can be learned about dependent and independent variables at brainly.com/question/1429012

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2 years ago

Mike is biking to catch up with his sister who is already 1200 yards ahead of him. If he bikes at a speed of 600 yards per minut

sashaice [31]

Answer:

8 minutes.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that Mike is biking to catch up with his sister who is already 1200 yards ahead of him. His sister is biking at a speed of 450 yards per minute.

So total distance covered by Mike's sister after m minutes would be $450m+1200$ .

Mike bikes at a speed of 600 yards per minute, so total distance covered by Mike in minutes would be $600m$ .

Now, we will equate both expressions to find minutes at which both distances will be equal as:

$600x=450m+1200$

$600x-450m=450m-450m+1200$

$150m=1200$

$\frac{150m}{150}=\frac{1200}{150}$

$m=8$

Therefore, it will take after 8 minutes for Mike to catch his sister.

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3 years ago

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Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and

WARRIOR [948]

Hello there! Your answer should be 4 mph. Reasoning:

2 = (20 - x) * t

3 = (20 + x ) * t

Time is the same for both equations. Solve for T.

2/(20-x) = 3/(20+x)

the answer is 4 mph.

Please tell me if I was right!

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3 years ago

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What is 10,000 less than 30,427.169?

julsineya [31]

Answer:

Hey!

10,000 less than 30,427.169 is 20,427.169

Step-by-step explanation:

We just do 30,427.169 - 10,000 which gives us 20,427.169

30,427.169

- 10,000.000 (make sure to have the columns aligned...)

_______________

20,427.169 (subtract all the numbers from 30,427.169)

<h2><u>I HOPE THIS HELPED YOU!</u></h2>

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3 years ago