Answer:
Step-by-step explanation:
Point-slope form: 
where a given point is 
and the slope is 
<u>1) Find the slope of the line (m)</u>
Slope = 
where the given points are and 
Plug in the points (-7,1) and (-3,9)
Therefore, the slope of the line is 2. Plug 2 into the equation as m:
<u>2) Plug one of the given points into the equation</u>
We plan either plug in (-7,1) or (-3,9) and it would work either way. Below you can see the equation plugging in the point (-7,1):
I hope this helps!
Well first we need to know how many pennies, nickles, and dimes there are.
Answer:
37.7 mi²/h
Step-by-step explanation:
The area formula is ...
A = πr²
Differentiating with respect to time gives ...
dA/dt = 2πr·dr/dt
Filling in the given values, we have ...
dA/dt = 2π(3 mi)(2 mi/h) = 12π mi²/h
The area is increasing at the rate of about 37.7 mi² per hour.
If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:
xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)
Where v is Lina's speed we have to find.
Plugging them all together gives:
300*10 = 10v - 1000
Which can be solved:
3000 + 1000 = 10v
4000 = 10v
v=400
Lina should skate at 400 feet per minute!
