#1) 4.445 ft
#2) yes
Explanation
#1) The maximum height is the y-coordinate of the vertex. We first find the axis of symmetry, given by x=-b/2a:
x=-0.17/2(-0.005) = -0.17/-0.01 = 17
Plugging this into the equation,
y=-0.005(17²)+0.17(17)+3 = 4.445
#2) Substituting 30 into the equation,
y=-0.005(30²) + 0.17(30) + 3 = 3.6
The ball will 3.6 in the air, so yes, it will clear the 3 ft tall net.
No unit fractions are shown. (Sometimes editing is required when you copy and paste your question text.)
Selections B and D have 1 as their first digit. We suspect those are supposed to be the unit fractions 1/8 and 1/3, respectively.
If you meant 12 1/4 inches long then your 4 feet and 1 inch long or 49 inches.
Answer:
k = 5
Step-by-step explanation:
The given line is y = 4x - 14.
The given point is (k, k + 1).
For this point, x = k and y = k + 1.
You substitute these equations into the line's equation to find the value of k.
(x = k)
(y = k + 1)
y = 4x - 14
(k + 1) = 4(k) - 14
Solve for k.
k + 1 = 4k - 14
Subtract k from both sides.
1 = 3k - 14
Add 14 to both sides.
15 = 3k
Divide both sides by 3.
15/3 = k
Simplify.
5 = k
And that's the answer!
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