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3 years ago

SOMEONE PLEASE HELP me a-e, step by step instructions I do not understand

Mathematics

1 answer:

VladimirAG [237]3 years ago

4 0

Since length • width = area you need to put the expression with “x” in (parenthesis) and put the number without a variable outside the parenthesis ex: d. would be 5(8-3x) because you would do what’s in the parenthesis first. In this case length is in the parentheses you would have 5(your answer) which means 5•your answer

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

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

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

$y-y_1=m_2(x-x_1)$

$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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3 years ago

Sue and Cathy have $20 left for a cab fare home.the cab fare is $3 per mile plus a $2 fixed charge.what is the maximum number of

PIT_PIT [208]

Answer:

They would by able to go 4 miles.

Step-by-step explanation:

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2 years ago

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2 years ago

I need help finding a measure

Sedbober [7]

Answer:

Which measure?

Step-by-step explanation:

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3 years ago

12 = ____% of 160? Thank you!

beks73 [17]

7.5% of 160.

12 / 160 = 0.075

Move decimal 2 places to the left to convert it to a percent, or multiple by 100.

0.075 * 100 = 7.5

7.5% is your answer.

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2 years ago

Read 2 more answers