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3 years ago

What is the slope of the line parallel to the line 9y + 2x = 54? Select one:

Mathematics

1 answer:

Paraphin [41]3 years ago

4 0

Answer:

The slope is -2/9

Step-by-step explanation:

9y + 2x = 54

Solve for y to get the equation in the form

y = mx+b where m is the slope and b is the y intercept

Subtract 2x from each side

9y + 2x -2x = -2x+54

9y = -2x+54

Divide by 9

9y/9 = -2x/9 + 54/9

y = -2/9 x +6

The slope is -2/9

Parallel lines have the same slope

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Musya8 [376]

1. added four to both sides
2. divided both sides by two

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2 years ago

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Solve for the missing side to the nearest tenth. 19 X 51

telo118 [61]

Answer:

x = 30.2 units

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

Selecting any of the acute angles, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides and the hypotenuse.

The given right triangle has an angle of measure 51° and its adjacent leg has a measure of 19 units. It's required to calculate the hypotenuse of the triangle.

We use the cosine ratio to calculate x:

$\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}$

$\displaystyle \cos 51^\circ=\frac{19}{x}$

Solving for x:

$\displaystyle x=\frac{19}{\cos 51^\circ}$

$\displaystyle x=\frac{19}{0.6293}$

x = 30.2 units

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2 years ago

Please help me!!!!!!!!!!!

Genrish500 [490]

Answer:

(5,0) and (1,0)

Step-by-step explanation:

you can set each factor equal to zero:

-x + 5 = 0

-x = -5

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x - 1 = 0

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1 year ago

Hunter had seven gallons of water in the refrigerator. Of those, two and one-fourth gallons were spring water and one and one-fi

Crank

Answer:

3 11/20

Step-by-step explanation:

Total gallons of water=7

Spring water=two and one-fourth gallon=2 1/4

Filtered water=one and one-fifth

=1 1/5

Spring water+filtered water=2 1/4 + 1 1/5

=9/4+6/5

= 45+24/20

=69/20

=3 9/20

How many gallons of water were not spring or filtered

=Total gallons- (spring+ filtered water)

=7-69/20

=140-69/20

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2 years ago

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183 x 194 = 35,502

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