Solve the equation<br>5(a + 4) - 6a + 1 = 12<br>a =

Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12

miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

$\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}$

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

$\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4$

3 0

3 years ago

100 POINTS!!!!!!!!!!

Ne4ueva [31]

the fiest answer is x=6 for the second one the answer is x=4

Step-by-step explanation:

x+15/5x+1 =15/35 then cross multiply

1st one

5 0

3 years ago

Read 2 more answers

NO =14 and MO =18 determine the length MN

kvasek [131]

Answer:

Step-by-step explanation:

MN=MO+NO

MN=14+18

MN=32

hope i helped.

7 0

3 years ago

A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that

AleksAgata [21]

Answer:

The written inequality can be written as 0.12x + 25 <= 150.

Step-by-step explanation:

To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.

5 0

2 years ago

Refer to the table below if needed.

elena-14-01-66 [18.8K]

A quadrant is the area that is divided into the x and y axes

The quadrants in which tan $\theta$ and cot $\theta$ are positive are I and III