$\frac{2p}{9}+\frac{5p}{18}-\frac{5}{6}=\frac{2}{3}+\frac{p}{12}+\frac{1}{6}\ \ \ |Multiply\ by\ 36\\\\
4*2p+2*5p-5*6=12*2+3*p+6*1\\\\
8p+10p-30=24+3p+6\\\\
18p-30=3p+30\ \ \ |Subtract\ 3p\\\\
15p-30=30\ \ \ |Add\ 30\\\\
15p=60\ \ \ |Divide\ by\ 15\\\\
\boxed{p=4}$

4 0

3 years ago

Write an equation in slope-intercept form for the line that has a slope of -4/5 and passes through (5, 10)

garik1379 [7]

Let m = slope = -4/5
P(x,y) = P(5,10)

Slope-intercept form for the equation of a line:
y=mx+c

Plug m= -4/5 into the slope-intercept formula
y = -4/5x + c

Plug P(5,10) into point-slope formula
y = -4/5x + c
10 = -4/5(5) + c
10 = -4 + c
substract -4 from both sides,
10 - (-4) = -4 - (-4) + c
14 = c

So, the equation is y = -4/5x + 14

3 0

3 years ago

Circle O has a circumference of approximately 28.3 cm. What is the approximate length of the radius, r?

Scrat [10]

Answer:

4.5 cm.

Step-by-step explanation:

We have been given that circle O has a circumference of approximately 28.3 cm.

We will use circumference formula to solve for the radius of our given circle.

$\text{Circumference of a circle}=2\pi r$