Please help 13 MATH PROBLEM
2 answers:
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Answer:
Step-by-step explanation:
<h3>Solving linear equation with one variable:</h3>1) -4 + 3x = 4x - 8
Add 4 to both sides
-4 + 3x + 4 = 4x - 8 + 4
3x = 4x - 4
Subtract 4x from both sides,
3x - 4x = -4x + 4x - 4
-x = -4
2) -5x - 8 = 2
Add 8 to both sides
-5x - 8 + 8 = 2 + 8
-5x = 10
Divide both sides by (-5)
3) 12r - 14 = 5(2-r)
12r - 14 = 5*2 - 5*r
12r - 14 = 10 - 5r
Add 14 to both sides
12r - 14 + 14 = 10 - 5r + 14
12r = 24 - 5r
Add 5r to both sides
12r + 5r = 24
17r = 24
Divide both sides by 17
r = 24/17
4) 3x - 8 = -(17 + 2x)
3x - 8 = -17 - 2x
Add 8 to both sides
3x - 8 + 8 = -17 - 2x + 8
3x = -9 - 2x
Add 2x to both sides
3x + 2x = -9
5x = -9
Divide both sides by 5
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.