A system of inequalities can be used to determine the depth of a toy, in meters, in a pool depending on the time, in seconds, si
nce it was dropped. Which constraint couldbe part of the scenario?A)The pool is 1 meter deep.B)The pool is 2 meters deep.C)The toy falls at a rate of at least a 1/2meter per second.D)The toy sinks at a rate of no more than a1/2 meter per second
1 answer:
Answer:
Option A. is the constraint.
Step-by-step explanation:
The given question is incomplete without any attachment; here is the attachment with the answer.
From the given figure,
First inequality is y ≥ (-1)
[Bold red line with shaded area in red color]
Since blue line is dotted and passes through origin (0, 0) and (-2, 1) so the equation of the line will be y = mx
where m = slope of the line
Since m =
=
Inequality showing the shaded area will be
Solution of the set of inequalities is (2, -1)
Since pool is 1 meter deep and beyond this order pair the graph will be not continuous, so the constraint is A). The pool is 1 meter deep.
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Answer:
13 units
Step-by-step explanation:
Use the distance formula, d = , where (x2, y2) and (x1, y1) are two different points on the line.
Plug in the values:
d =
d =
d =
d =
d =
d = 13
Answer: y = 4x-3
slope = 4, y intercept = -3
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m = 4 is the slope
is the point the line goes through
Using point slope form, we can say,
The equation is in slope intercept form y = mx+b
m = 4 = slope
b = -3 = y intercept
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As an alternative, you can use y = mx+b to get the same answer. We'll plug in m = 4 and (x,y) = (-2,-11) to solve for b
y = mx+b
-11 = 4(-2)+b
-11 = -8+b
-11+8 = -8+b+8
-3 = b
b = -3 we get the same y intercept value as above
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To check the answer, plug x = -2 into the equation. We should get y = -11
y = 4x-3
y = 4(-2)-3
y = -8-3
y = -11 we get the proper y value. The answer is confirmed.