Your answer will be:
The total number of marbles that are not black.
First, rewrite the equation so that <em>y</em> is a function of <em>x</em> :

(If you were to plot the actual curve, you would have both
and
, but one curve is a reflection of the other, so the arc length for 1 ≤ <em>x</em> ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)
The arc length is then given by the definite integral,

We have

Then in the integral,

Substitute

This transforms the integral to

and computing it is trivial:

We can simplify this further to

Answer:
point form is (2,-1), equation form is x= 2, y=-1
Step-by-step explanation:
Answer:
Equation Form:
x=7,y=−2
Step-by-step explanation:
Multiply each equation by the value that makes the coefficients of x
opposite.
(−1)⋅(2x+5y)=(−1)(4)
2x−2y=18
Simplify.
−2x−5y=−4
2x−2y=18
Add the two equations together to eliminate x
from the system.
(−2x−5y=−4) +(2x−2y=18) = (-7y=14)
Divide each term by −7 and simplify.
y=−2
Substitute the value found for y into one of the original equations, then solve for x.
x=7
The solution to the independent system of equations can be represented as a point. (7,−2)
The result can be shown in multiple forms.
Point Form:
(7,−2)
Equation Form:
x=7,y=−2
Answer:
Yes
Step-by-step explanation:
"data includes which problems where attempted, the time at which each problem was attempted, the answers the student submitted and whether they were correct, the duration the student was working on each problem, whether each assignment was completed on time and the completion percentage for each assignment" (paragraph 4).
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