Ambulance driver was shot in the eye during Highway robbery pass on. Develop a risk management plan for this news item
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Answer:
Step-by-step explanation:
5 and 6 are the same, so I will do one of those and you can use the example to do the other one.
Slope-intercept form is y = mx + b. If we have 2 points and nothing else, we can use those 2 points in the slope formula to find the slope (the m value in the equation) and then plug that in with either one of the points to get the equation. The slope formula is:
Using our points in question 5: (2, 4) (5, 4)
So m = 0. Now pick a point and use it in the equation along with the m value to solve for b. I will use (2, 4):
4 = 0(2)+b and
4 = 0 + b so
b = 4.
Now we have m = 0 and b = 4 so we fill in the equation with that info:
y = 0x + 4 or simplifying,
y = 4
For question 7 they want the line parallel to y = 3x + 6 that goes through (-10, 2.5). For a line to be parallel to another line, their slopes have to be identical. The slope in y = 3x + 6 is 3. So the slope of the "new" line is going to be 3 as well. Now we will use that slope and the given point to solve for b, just like in #5:
2.5 = 3(-10) + b and
2.5 = -30 + b so
b = 32.5
Now we will fill in:
y = 3x + 32.5
For question 8 they want the line perpendicular to y = -4x - 2 that goes through (-16, -11). For a line to be perpendicular to another line, their slopes have to be opposite reciprocals. Opposite meaning the sign is opposite (positive becomes negative and negative becomes positive), and reciprocal meaning the fraction is flipped upside down. The slope in our line is -4. That means that the perpendicular slope is positive 1/4. Using that along with our point, we will again solve for b:
which simplifies to
-11 = -4 + b so
b = -7
Now we fill in:
For question 8, in order to find the line parallel to the given line, you need to know the slope. In the form it is currently in, we do not know the slope. We need to put it into slope-intercept form to find the slope, then we will proceeed as above. If
x + 4y = 6, then
4y = -x + 6 and, dividing by 4,
(The 3/2 is reduced from 6/4)
Now we can see the slope is -1/4. We use that along with the point (-8, 5) to solve for b:
which simplifies to
5 = 2 + b so
b = 3
Now we fill in, keeping in mind that lines are parallel when they have the exact same slope:
Answer:
This is a proportional relationship, the constant of proportionality is 20m/s and it represents that the horse can run 20 meters every second.
Equation: d = 20s, where d=distance and s=number of seconds.
Step-by-step explanation:
In order to find out whether this relationship is proportional, you need to see if the rate at which the horse runs is constant (the same). If you look at the three sets of data (24, 480), (40, 800) and (60, 1200) where the pair is (seconds, meters), you can see that for any two sets of data the change in meters divided by the change in seconds is consistently 20m/s. For example:
Since the constant is 20, we know that the horse can run 20 meters every second. To find the horse's total distance, we need to multiply the rate by the number of seconds that it runs:
d = 20s