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3 years ago

HELP ME PLZZ!!!!!!!!!!!"

Mathematics

1 answer:

MArishka [77]3 years ago

6 0

I hope you can read cursive writing and I hope this helps! (:

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).

Svetradugi [14.3K]

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

$\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5$

well then therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}$

6 0

2 years ago

You have been advised to save 5% of your income for an emergency fund. How much would you have saved in one year, following the

Inessa [10]

You would save $2447.40 for the emergency fund

6 0

3 years ago

If The Area Of Triangle MNO Is 24cm2 Find The Area Of Triangle PNO

drek231 [11]

Answer:

24 cm^2

Step-by-step explanation:

The three sides are equal (SSS: side, side, side) so the triangles are congruent.

8 0

2 years ago

Please help me pleaseeeee!!

mafiozo [28]

Answer:

The median is 40. The least number of smartphones distributed is 34. Finally, the third quartile is 48. Hope this helps!

Step-by-step explanation:

4 0

3 years ago

Enter an equation to find three numbers with the following properties. Let x be the first number. The second number is 6 more th

krok68 [10]

Answer:

-7, -1, -7

-6, 0, 0

Step-by-step explanation:

x+6

7(x+6)

7(x+6)+ x(x+6) = 0

(x+6)(7+x) = 0

x = -6, -7

-6, 0, 0

-7, -1, -7

4 0

3 years ago

Read 2 more answers