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4 years ago

Write the equation of the line in standard form

Mathematics

1 answer:

Vilka [71]4 years ago

4 0

Answer:

2x - 3y = 18

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 2x - 3y = - 3 into this form by subtracting 2x from both sides

- 3y = - 2x - 3 ( divide all terms by - 3 )

y = $\frac{2}{3}$ x + 1 ← in slope- intercept form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes, thus

y = $\frac{2}{3}$ x + c ← is the partial equation

Given the y- intercept = 6, then

y = $\frac{2}{3}$ x + 6 ← equation in slope- intercept form

Multiply through by 3

3y = 2x + 18 ( subtract 3y from both sides )

0 = 2x - 3y + 18 ( subtract 18 from both sides )

2x - 3y = - 18 ← equation in standard form

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zubka84 [21]

Answer:

f(x) = 8/√x
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Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

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You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

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Answer:

$\frac{c + d}{2}$

Step-by-step explanation:

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4 years ago

Do you rectangular floor of a classroom is 36 feet length and 32 feet in width. They scale drawing of the Florida has a length o

Ivanshal [37]

Answer:

72 sq. inch.

Step-by-step explanation:

9 inches in feet is 9/12 = 0.75 feet.

We can set up a ratio to figure out the width of the scale drawing.

$\frac{36}{0.75}=\frac{32}{x}$

This means "if 36 feet is 0.75 feet in drawing, how much (let that be x) is 32 feet?"

let's cross multiply and solve for x:

$\frac{36}{0.75}=\frac{32}{x}\\36x=32*0.75\\36x=24\\x=\frac{24}{36}=\frac{2}{3}$

So width is 2/3 feet and length is 0.75 feet.

Converting back to inches (since we need the area in sq. inches):

2/3 feet = 2/3 * 12 = 8 inches, and

0.75 feet = 0.75 * 12 = 9 inches

Hence, area is 8 * 9 = 72 sq. inches.

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3 years ago