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dimulka [17.4K]

3 years ago

5

What is the result of subtracting the second equation from the first?

1 answer:

WARRIOR [948]3 years ago

4 0

Answer:

5x = 11.

Step-by-step explanation:

-4x - 2y = -2

x - 2y = 9

Subtracting:

-4x - x - 2y - (-2y) = -2 - 9

-5x - 2y + 2y = -11

-5x = -11

5x = 11.

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I need help with math

Sonbull [250]

Answer:

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6 0

3 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago

Stan lawn mower had 1/8 of a gallon of gasoline in the tank. Stan started mowing and used all of the gasoline. He put 6/10 of a

tigry1 [53]

Answer: Stan used $\frac{1}{24}\ gallon$ of gasoline.

Step-by-step explanation:

Given: The amount of gasoline in the tank of Stan lawn mower= $\frac{1}{8}\ of\ gallon$

Then he put the amount of gasoline in the tank= $\frac{1}{6}\ of\ gallon$

The total amount of gasoline filled in the tank = $\frac{1}{8}+\frac{1}{6}\ gallons$

⇒ The total amount of gasoline filled in the tank = $\frac{3+4}{24}=\frac{7}{24}\ gallons$

The amount of gasoline left in the tank after mowing= $\frac{1}{4}\ of\ gallon$

Now, the total gasoline used by Stan= $\frac{7}{24}-\frac{1}{4}=\frac{7-6}{24}=\frac{1}{24}\ gallon$

5 0

3 years ago

5^3 x 7^3 = 35^3<br> Explain why this equation is true

grin007 [14]

What grade you in ?...

4 0

3 years ago

What is 3 divided 162

dmitriy555 [2]

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

4 0

3 years ago

Read 2 more answers