K here you go!!! So, this is the slope formula: m=(y_2-y_1)/(x_2-x_1). We can input the example coordinates given to create: (-4-3)/(-4-2). Then, I can simplify to make -7/-6 or 7/6. You can make it improper or not, up to you or the question. Also, in the part where I inputting the numbers into the formula, it doesn't matter what y-coordinate value or x-coordinate value you use. The slope won't change.
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Answer:
the desired line is y = 2x+1
Step-by-step explanation:
A line parallel to y=2x+5 has a very similar equation. All we have to do here is to write y=2x+5 as y=2x+b and find b for x = 1 and y = 3.
Replacing y with 3 and x with 1, we get 3 = 2(1) + b. Then b = 1, and the desired line is y = 2x+1
Answer:
Below in bold.
Step-by-step explanation:
Arrange the data in ascending order:
1. 1 1 2 3 4 7 9
Median = middle number = 3.
Q1 = 1
Q3 = 7.
2. 26 31 34 38 42 66 74 78
Median = mean of 2 middle numbers = 40.
Q1 = 31.
Q3 = 74.
3. 36 45 49 52 53 64 81 87 93
Median = middle number = 53.
Q1 = 47.
Q3 = 84.
1250
use ratios or proportions
75:x=6:100
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.
