Answer:
11i-6
Step-by-step explanation:
For lines to be parallel, the slopes have to be the SAME.
To find the value of k, you can first find the slope of line 1 using the slope(m) formula, and plug in the points:



Now that you know the slope, you can use the slope formula to find k by plugging in what you know:

Multiply (5 - k) on both sides
Multiply -2 on both sides
5 - k = -2(7 + 1)
5 - k = -2(8)
5 - k = -16 Subtract 5 on both sides
-k = -21 Divide -1 on both sides
k = 21
Answer:
1/3^3
Step-by-step explanation:
1/3 to the power of three, since you are multiplying 1/3 by itself 3 times consider 3 as your exponent
Answer:
12.8
Step-by-step explanation:
Given a parabola in standard form , ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - 
h = 3 + 14t - 5t² ← is in standard form
with a = - 5 and b = 14, thus
= -
= 1.4
Substitute t = 1.4 into h for maximum height
h = 3 + 14(1.4) - 5(1.4)²
= 3 + 19.6 - 9.8 = 12.8
7k + 4 is the simplified version