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3 years ago

What is the equation of the line that passes through (1, 2) and is parallel to the line whose equation is 4x + y + 1 = 0?

Mathematics

1 answer:

Bezzdna [24]3 years ago

7 0

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where m is the slope

c is the y intercept

4x + y + 1 = 0

y = - 4x - 1

Comparing with the above formula

Slope / m = - 4

Since the lines are parallel their slope are also the same

That's

Slope of the parallel line is also - 4

Equation of the line using point ( 1 , 2) is

y - 2 = -4(x - 1)

y - 2 = - 4x + 4

4x + y - 2 - 4

We have the final answer as

Hope this helps you

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Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 1

Lisa [10]

Answer:

See attachment

Step-by-step explanation:

The given inequality is $|x|>1$

By the definition of the absolute value function, we obtain the compound inequality.

$-x>1\:or\:x>1$

When we simplify we get:

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3 years ago

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the larg

vlabodo [156]

Consider all employees.

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total job benefits $33,600 - x%.

Then

$\dfrac{32,600}{33,600}=\dfrac{100}{x},\\ \\32,600\cdot x=33,600\cdot 100,\\ \\x=\dfrac{33,600\cdot 100}{32,600}=\dfrac{33,600}{326} \approx 103.07.$

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total job benefits $34,000 - x%.

Then

$\dfrac{32,900}{34,000}=\dfrac{100}{x},\\ \\32,900\cdot x=34,000\cdot 100,\\ \\x=\dfrac{34,000\cdot 100}{32,900}=\dfrac{34,000}{329} \approx 103.34.$

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gross pay $33,400 - 100%,
total job benefits $33,900 - x%.

Then

$\dfrac{33,400}{33,900}=\dfrac{100}{x},\\ \\33,400\cdot x=33,900\cdot 100,\\ \\x=\dfrac{33,900\cdot 100}{33,400}=\dfrac{33,900}{334} \approx 101.50.$

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gross pay $33,700 - 100%,
total job benefits $34,700 - x%.

Then

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Answer: correct choice is B.

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malfutka [58]

Answer:

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Step-by-step explanation:

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6x+10x-14=2-10x+10x

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Now add 14 to each side

16x-14+14=2+14

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Divide each side by 16 to isolate x

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