Please help I'm very confused!!

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

-4(x - 2) - 3x = 2(5x - 7) + 6

Allisa [31]

Answer: last option.

Step-by-step explanation:

To apply the Distributive property, remember that:

$c(a-b)=ca-cb$

Then, applying this, you get:

$-4(x - 2) - 3x = 2(5x - 7) + 6\\\\(-4)(x)+(-4)(-2)-3x=(2)(5x)+(2)(-7)+6\\\\-4x+8-3x=10x-14+6$

Combine like terms means that you need to add the like terms.

Therefore, you get:

$-7x+8=10x-8$

You can observe that the expression obtained matches with the expression provided in the last option.

3 0

3 years ago

Help me asap (please please)

CaHeK987 [17]

Area of a circle = pi*r^2.

Here, A = 380.13 mi. Unfortunately, "mi" is NOT a unit of area.

So I will assume that the problem should read A = 380.13 sq. miles.
380.12 mi^2
Thus, 380.13 mi^2 = 3.14*r^2, and r^2 = ------------------- 121.057 mi^2
3.14

The radius is the sqrt of 121.057 mi^2: 11.00 miles.

The diam. is twice that, or d = 22.00 miles.

4 0

3 years ago

PLEASE ANSWER ASAP! REALLY IMPORTANT! MUST BE CORRECT! POINTS GIVEN!

VMariaS [17]

- 5/12 + ( - 1/4) =

Adding two negatives results in a negative

-1/4 = -3/12

-3/12 + -5/12 = -8/12

-8/12 + 3/12 < Subtract and take the sign of the BIGGER number.

8 - 3 = 5

- 5/12

Answer: - 5/12

8 0

3 years ago

Read 2 more answers

Find the product of 2/3 and 9/10<br> 4 points

Solnce55 [7]

Answer:(2/3) + (9/10) = 47/30

= 1 17/30

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers