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Zolol [24]
2 years ago
11

The point (-7,3) is on the line given by which of the equations below?

Mathematics
1 answer:
natulia [17]2 years ago
4 0
The answer is c (y=x+10).
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One operator is holding a laser pointer at a height of 9 feet whose beam is reflected on a horizontal reflecting surface at a po
lutik1710 [3]

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;

f(x) = \dfrac{9}{8} \times \left | x - 8\right | = y

When x = 8, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 8 - 8\right | = 0

When x = 7, the point of reflection, the height, f(x) is given as follows;

f(x) = \dfrac{9}{8} \times \left | 7 - 8\right | = \dfrac{9}{8}

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;

tan(\theta) = \dfrac{Opposite \ side}{Adjacent \ side} =\dfrac{9}{8} = \dfrac{h}{7}

Where;

h = The height at which the laser meets the wall

h = \dfrac{9 \times  7}{8} =7.875

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;

y = \dfrac{9 \times  7}{8} - \dfrac{9}{8} = \dfrac{54}{8} = 6.75 \ feet

The height (in feet) at which the laser will impact the wall = 6.75 feet.

7 0
3 years ago
If (-3+y) is positive, but (-9+y) is negative, what is one number that y could be? *
sukhopar [10]

Answer:

it could be any number less then 9 so examples would be 8,7,6,5,4,3,2,1 so on so forth

6 0
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A-4 = -5*<br> (5 Points)<br> -9<br> O 20<br> O-1<br> -5/4
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It’s -1. Hope it hels
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MatroZZZ [7]

Answer:

4

Step-by-step explanation:

The median is the middle number

There are 15 data points

15/2 = 7.5

The middle number is the 8th number

The median is 4

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