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Ganezh [65]
3 years ago
9

Find an equation for a line parallel to 4x + 5y + 2 = 0, with an x-intercept of 3

Mathematics
1 answer:
katen-ka-za [31]3 years ago
6 0

\bf 4x+5y+2=0\implies 5y=-4x-2\implies y=\cfrac{-4x-2}{5} \\\\\\ y=-\cfrac{4}{5}x-\cfrac{2}{5}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}


so, notice, the slope of that equation is just -4/5, and any parallel line to it will have the same exact slope.

so we're really looking for the equation of a line whose slope is -4/5 and runs through x-intercept of 3, namely (3,0).


\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-\cfrac{4}{5}(x-3)\implies y=-\cfrac{4}{5}x+\cfrac{12}{5}

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3217.00

Step-by-step explanation:

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Answer:

Step-by-step explanation:

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(x-3)/18=12/9, cross multiply

9(x-3)=18(12)

9x-27=216, add 27 to each side

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(x-16)/(x+6)=3/5, cross multiply

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7 0
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If an arena charges $7. 50 to park in satellite parking and $12. 00 to park in an arena lot, how much will be made from parking
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Parking 11,000 automobiles at the venue and 4,600 in satellites will bring in total $166,500.

<h3>Define multiplication.</h3>

One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical size. Let's use the ice creams as a multiplication example to help us comprehend. There are two such groupings, and each group has ice cream.

Given,

If an arena charges $7. 50 to park in satellite parking and $12. 00 to park in an arena lot,

Multiplying:

$7.5 x 4,600 = satellite parking

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$11,000 ×12 = arena lot

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Let's now calculate the entire revenue from parking.

Total earnings equal $132,000 + $34,500.

Amount made in total is $166,500.

In conclusion Parking 11,000 automobiles at the venue and 4,600 in total satellites will bring in $166,500.

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3 0
1 year ago
Need help ASAP please and thank you
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We know that when dividing exponents, this means we need to subtract the exponent on the denominator from the numerator. This gives us:

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