$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ 12 &,& 3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies \cfrac{1}{4}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-3=\cfrac{1}{4}(x-12)
\\\\\\
y-3=\cfrac{1}{4}x-3
\implies 
y=\cfrac{1}{4}x$

5 0

3 years ago

A carpenter makes wooden chairs.

Elena-2011 [213]

He should make 20 dining chairs, and 10 rocking chairs. Making a profit of 2100$

10 rocking chairs x 2hrs = 20hrs

20 dining chairs x 1 = 20hrs

20hrs + 10hrs = 30hrs

90 x 10 = 900$

20 x 60 = 1200$

900 + 1200 = 2100$

3 0

3 years ago

Find the solution of this system of equations. Separate the x- and y-values with a comma. x = 8 + y and x - 11y = -12

DiKsa [7]

The answer is:
(10, 2)

3 0

3 years ago

Abram and Fred leave opposite ends of a bike trail 12 miles apart and travel toward each other. Abram is traveling 8 mph faster

Dimas [21]

Abram: 10 mph; Fred: 7 mph

8 0

3 years ago