A three-dimensional figure is shown. which bet represents that figure?

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

Mikel has a poster that she wants to copy onto a mural at school. The dimensions of the poster are shown below.

nata0808 [166]

<h2><u>Answer:</u></h2>

The area of the poster would be <u>20ft².</u>

<h2><u>Step-by-step explanation:</u></h2>

First, double both the length and the width.

LENGTH : 2 x 2 = 4

WIDTH : 2.5 x 2 = 5

Use these new dimensions to work out the area

4 x 5 = <u>20ft²</u>

5 0

3 years ago

Solve the equation by completing the square

vovikov84 [41]

You solve by useing the formula (b/2) ^2
And your answer is x= 3,1

4 0

3 years ago

Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.

Dmitriy789 [7]

The systems of linear equations have been matched with their respective solutions as shown in the image attached below.

<h3>What is a system of linear equations?</h3>

A system of linear equations can be defined as an algebraic equation of the first order that has two (2) variables with each of its term having an exponent of one (1).

In this exercise, you're required to match the systems of linear equations with their respective solutions as shown in the image attached below.

Read more on linear equations here: brainly.com/question/2030026

#SPJ1

8 0

2 years ago

Find the product of (x + 5)(x − 5) and show work

AleksandrR [38]

(x + 5) * (x − 5) =

x² - 25

----------------

x * x = x² and 5 * (-5) = -25

8 0

3 years ago

Read 2 more answers