Jim has 27.5 minutes left to get to the airport.
Answer:
√185 or 13.60 units to the nearest hundredth.
Step-by-step explanation:
For the points (x1,y1) and (x2,y2) the length between the points is given by:
L = √ [ (x2-x1)^2 + (y2-y1)^]
So here we have:
Length of AB √ [ (7- - 4)^2 + (-2 - 6)^2]
= √ (121 + 64)
= √185.
<h3>
Answer: Max height = 455.6 feet</h3>
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Explanation:
The general equation
y = ax^2 + bx + c
has the vertex (h,k) such that
h = -b/(2a)
In this case, a = -16 and b = 147. This means,
h = -b/(2a)
h = -147/(2*(-16))
h = 4.59375
The x coordinate of the vertex is x = 4.59375
Plug this into the original equation to find the y coordinate of the vertex.
y = -16x^2+147x+118
y = -16(4.59375)^2+147(4.59375)+118
y = 455.640625
The vertex is located at (h,k) = (4.59375, 455.640625)
The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet
Answer:
The y intercept and the slope are given in the equation. y=mx+b is slope-intercept form. mx is the slope and b is the y intercept. so in y=3x-5, 3x is the slope and -5 is the y intercept (what y is when x is zero).
Step-by-step explanation:
If you are multiplying fractions it doesn't matter if there are different denominators because you multiply straight across.
