<span>The correct answer is that y does not vary directly with x.
Explanation<span>:
If y varies directly with x, this means that it would fit the equation y=kx for every point in the set.
For the first point, we would have 11=7k; this would mean that k=11//7.
For the second point, we would have 13=8k; this would mean that k=13/8.
Checking using proportions shows us that 11/7 does not equal 13/8:
cross multiply, and you have 11*8=7*13, or 88=91.
This is not true, so k is not a constant, and y does not vary directly with x.</span></span>
Sum of angles in a triangle is 180 degrees.
2x + 2x + 8x = 180
12x = 180
x = 180/12 = 15
Therefore, the smallest angle mmeasures 2(15) = 30 degrees.
Answer:
6. -2.5 + 3 = 0.5
Part B. -2.5 + x = y
4. a. Yes
b. No
c. No
d. Yes
1. C. -1/8 points
3. a. -3.7 + 8 = positive number 8 = a. 4/3 = d.
b. -8 - 1/1/3 = negative number -8 = b, c. -5 = b, d.
c. -8 + 8 = 0 -4.9 = b, d. -5.4 = b, d.
d. -4.52 + -4.9 = negative number 3.8 = a, d. 3.86 = a, d.
Step-by-step explanation:
Those are the correct answers.
H(t)=-16t^2+15t+12
(e)
maximum height is reached when h'(t)=-32t+15=0, or tm=15/32 seconds.
maximum height reached = h(tm)=h(15/32)=-16(15/32)^2+15(15/32)+12
=993/64 ft
=15.516 ft.
(f) when Greg reaches water, h(t)=0=-16t^2+15t+12
Solve for t using quadratic formula,
t=[-15+/- sqrt(15^2+4*12*16)]/(2*-16)
=-0.516s or 1.4535s.
Reject negative root so
Greg reaches water at t=1.4535 seconds.
