A line passes through point (-8,-6) and has a slope of
1 answer:
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Answer: Choice A) 9
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Explanation:
We have some variable r that we divide over 3, and then we add on 5. Note the order of operations PEMDAS says to divide first and then add (since D comes before A in PEMDAS).
When we isolate r, we follow PEMDAS in reverse and undo everything. We undo addition by subtracting 5 from both sides
Then we undo the division happening to r. So we multiply both sides by 3
Since r is less than or equal to 9, this means that r could be 9 or smaller
Only choice A applies.
Answer:
The height (in feet) at which the laser will impact the wall is 6.75 feet
Step-by-step explanation:
The given parameters are;
The height from which the laser beam operator is holding the laser = 9 feet
The horizontal distance away from the pointer the beam is reflected = 8 feet
Given that we have;
When x = 8, the point of reflection, the height, f(x) is given as follows;
When x = 7, the point of reflection, the height, f(x) is given as follows;
Therefore, given that the point of reflection is at an elevation of 0 relative to the 9 feet of the laser source (pointer), by tan rule, we have;
Where;
h = The height at which the laser meets the wall
Given that the wall the laser meets is at the point x with elevation 9/8, the height, y, at which the laser meets the wall is therefore;
The height (in feet) at which the laser will impact the wall = 6.75 feet.