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soldier1979 [14.2K]
2 years ago
6

Help me I’m not sure how to do this

Mathematics
1 answer:
maw [93]2 years ago
6 0

Answer:

_______

Step-by-step explanation:

i cant read that sorry :|

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Find the equation of a line passing through (-4,-3) and perpendicular to<br> 3 x + 2 y = 14.
Reil [10]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

3x+2y=14\implies 2y=-3x+14\implies y=\cfrac{-3x+14}{2}\implies y = \cfrac{-3x}{2}+\cfrac{14}{2} \\\\\\ y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{3}{2}}x+7\qquad \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 therefore

\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{\cfrac{-3}{2}} ~\hfill \stackrel{reciprocal}{\cfrac{2}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{2}{-3}\implies \cfrac{2}{3}}}

so we're really looking for the equation of a line whose slope is 2/3 and passes through (-4 , -3)

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{2}{3} \\\\\\ \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-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{2}{3}}(x-\stackrel{x_1}{(-4)}) \implies y+3=\cfrac{2}{3}(x+4) \\\\\\ y+3=\cfrac{2}{3}x+\cfrac{8}{3}\implies y=\cfrac{2}{3}x+\cfrac{8}{3}-3\implies y=\cfrac{2}{3}x-\cfrac{1}{3}

3 0
2 years ago
James works at a clothing store where he earns a 4% commission on his total sales How much does James earn from commission on a
Rashid [163]

Answer:

101.60

Step-by-step explanation:

3 0
3 years ago
(98 POINTS)!!!!!! PLEASE HELP PLEASE!!!!!!!!!!!!!
wolverine [178]

Answer:

165 ft^2

Step-by-step explanation:

We need to break the figure into 2 parts

We have the square at the bottom right

The square is 5 by 5

A = 5*5 = 25

The rectangle is then 20 by (12-5) =7

The area of the rectangle is

A = 20 *7 = 140

Add the areas together

140+ 25

165 ft^2

6 0
3 years ago
Read 2 more answers
Is y=(x/2)^2 a function?
frozen [14]
By the look of it the answer is yes
7 0
3 years ago
Erica’s family is moving away from California. They decided to have a moving sale and sell each item for 70% off the price they
Burka [1]

Find the sale price by multiplying the original price by 70% then add the two prices together to get the total.

799 x 0.70 = 559.30

549 x 0.70 = 384.30

Total: 559.30 + 384.30 = $943.60

3 0
2 years ago
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