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pochemuha
2 years ago
7

I attached a problem i have to write the equation in standard form using integers

Mathematics
1 answer:
maksim [4K]2 years ago
6 0

9514 1404 393

Answer:

  7x +9y = -1

Step-by-step explanation:

The standard form of the equation for a line is ...

  ax +by = c

where a, b, c are mutually prime integers and a > 0.

We can get this form by multiplying the equation by 9, adding 7x+27.

  y - 3 = -7/9(x +4)

  9y -27 = -7x -28 . . . . . multiply by 9, eliminate parentheses

  7x +9y = -1 . . . . . . . . . add 7x+27 to both sides

_____

The attached graph shows both equations. They are in different colors and textures so you can see they are the same line.

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2 years ago
Perform the indicated operation.<br> 113<br> 글용<br> 0 8/9<br> 0 1-1/8<br> 0 1/8
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2 years ago
In triangle ABC, point D is the centroid, and BD = 6. Find BE.
pshichka [43]

Given:

In triangle ABC, point D is the centroid, and BD = 6.

To find:

The measure of side BE.

Solution:

We know that the centroid divides each median in 2:1.

In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.

Let BD and DE are 2x and x respectively.

We have, BD = 6 units.

2x=6

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BE=BD+DE

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Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

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The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

6 0
2 years ago
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