<em><u>The inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground is:</u></em>

<em><u>Solution:</u></em>
<em><u>The object falls, its distance, d, above the ground after t seconds, is given by the formula:</u></em>

To find the time interval in which the object is at a height greater than 300 ft
Frame a inequality,

Solve the inequality
Subtract 1000 from both sides


Time cannot be negative
Therefore,
t < 6.61
And the inequality used is: 
The equation of the line is 
Explanation:
The given equation is 
<u>Slope:</u>
Since, the equation of the line is perpendicular to the equation
, then, the slope is given by

Hence, the slope is 
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,

Substituting the point (-2,3) and the slope
, in the above formula, we get,

Simplifying, we get,



Therefore, the equation of the line is 
Answer:
y = 189.8
Step-by-step explanation:
Apply trigonometric function to find y.
Reference angle (θ) = 50°
Adjacent side = 122
Hypotenuse = y
Apply CAH, since the Hypotenuse and the Adjacent are involved.
Thus:
Cos θ = Adj/Hypo
Plug in the values
Cos 50° = 122/y
y*Cos 50° = 122
y = 122/cos 50°
y = 189.8 (beater tenth)
Answers:
Horizontal Line: y = 5
Vertical Line: x = 8
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Explanation:
All horizontal lines are of the form y = k, for some constant k. We want the horizontal line to pass through (8,5), meaning every point on this horizontal line must have y coordinate 5. Therefore, y = 5 is the equation of the horizontal line. Two such points on this line are (1, 5) and (8, 5). All that matters is the y coordinate is 5. The x coordinate can be anything you want. The slope of any horizontal line is 0.
Flipping things around, all vertical lines will have the x coordinate of each point be the same value. Draw a vertical line through (8,5) and note how each point has x coordinate of 8. Two such points are (8,1) and (8,5). Therefore, the equation of the vertical line is x = 8. The y coordinate can be any value you want. The slope of any vertical line is undefined. Unlike the horizontal line, we cannot write this equation in slope intercept form (namely because the slope isn't defined).
Answer:
(2,3)
Step-by-step Explanation:
2x - y = 1
-y = -2x + 1
y = 2x - 1
4x + y = 11
4x + 2x -1 = 11
6x = 12
x=2
y=2x-1
y=2(2)-1
y=3