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3 years ago

In each of the following expressions, c represents the original cost of an item

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

8 0

Answer:

i . 0.10c

Step-by-step explanation:

Just plug a random number, idk what number you'd choose. But my lucky number is 10 so 0.10 x 10 = 1 which is 10% of the original cost XD

yea..hope this helps! :D

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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

PLEASE SOLVE AND CHECK

Ymorist [56]

Answer:

x^2=-10

Step-by-step explanation:

x squared equals to negative 10

3 0

2 years ago

Adam earns $36 for every four hours of work. If he continues to be paid at the same rate. How long will it take him to earn $225

prisoha [69]

Answer:

It will take him 6.25 hours to earn $225

Step-by-step explanation:

225 ÷ 36 = 6.25

6.25 = 6 1/4

You are dividing the total amount of money needed to be earned ($225) by the amount of money he gets paid every hour ($36) to get the number of hours it will take him to earn the amount of money he wants to earn.

Hope this helps!

5 0

2 years ago

Read 2 more answers

88 students for 4 classes?

xenn [34]

22 students in each class. (88 divided by 4=22)

6 0

3 years ago

Read 2 more answers

Pls help with explanation. Will give brainliest

muminat

Answer:

E - 40°

Step-by-step explanation:

Angle O = 2 × y

{Angle at center is equal to twice the angle at circumference formed by the same arc}

O = 2 × 70°

O = 140°

x + 90° + 90° + O = 360°

{Sum of angles in a quadrilateral is equal to 360°}

x + 90° + 90° + 140° = 360°

x + 320° = 360°

x = 40°

7 0

3 years ago