Answer:
A. 2x + y < 7
Step-by-step explanation:
the slope is negative and the y-intercept is positive
Answer:
(×+6)^2 + (y -7 ) ^2=81
Step-by-step explanation:
hope this helps
Answer:
a
Step-by-step explanation:
Linear Pair Angles are always congruent because you can see that the parallel lines are cut by a transversal, which creates special angle pairs. The angles would be Alternate Exterior Angles; angles on opposite sides of a transversal but outside the two parallel lines form supplementary angle pairs. The angles also are Corresponding Angles.
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:

Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:

We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb