Answer:
Step-by-step explanation:
1) they have same slope of 2 and are, therefore parallel.
Segment FG is on the line 2 x - y= -3
y = 2x + 3
Slope = 2
segment EH is on the line 2x - y = 1
-y = -2x +1
y = 2x - 1
Slope = 2
You can write the equations of motion as
h(t) = -16t² + v₀sin(θ)t
d(t) = v₀cos(θ)t
Solving the second of these for t and substituting into the first equation gives the time of flight as
0 = -16t² + d(t)·tan(θ)
t = √(d(t)·tan(θ)/16)
So, for d(t) = 400 and θ = π/6, this becomes
t = √((400/16)/√3)
t = 5/√(√3) ≈ 3.79918
The ball is in the air about 3.80 seconds.
Answer:
y-intercept = c = -2
slope = y = - 4
Step-by-step explanation:
The correct equation is:
4x + y = -2
We need to graph the line using its slope and y-intercept. The slope intercept form of the equation is:
y = mx + c
Here, m is the slope and c is the y-intercept. Transforming the given equation to this form gives us:
y = - 4x - 2
This means, the slope is:
m = - 4
and y-intercept is:
c = - 2
y-intercept in ordered pair is written as (0, c). So for the given case the y intercept will be (0, -2). This gives us first point on the graph.
The slope tells us that by how many units will the y variable will change for one unit change in x-axis.
So slope, m = - 4, tells us that the y-variable will change by negative 4 units for 1 unit change in x variable.
Based on this change, we can get another point from (0, -2) which will be (0+1, -2 - 4) = (1, - 6)
This gives us the second point on the graph. Plot these two points and join them using a straight line. This straight line will be the graph of equation y = 4x - 2 or 4x + y = -2
The graph is attached below.
The answer is D Cause the amount of money they make per car plus the amount of money they make from tips times the amount of cars they wash and add them together should give you how much total money they made.