Answer:
46.25
Step-by-step explanation:
82-25=57
24/6=4
57/4=14.25
14.25+32=46.25
The function relating in indira‘s height to the number of hours she mountain climbing is: y = -36.5x + 182.5
A linear equation is given by:
y = mx + b;
where m is the slope(rate of change), b is the initial value of y, y is the dependent variable and x is the independent variable.
Let x represent the number of hours spent climbing the mountain and y represent the distance above see level.
She starts at 182.5 meters above sea level, hence; b = 182.5 meters
She descends 36.5 meters each hour, hence m = -36.5 meter per hour
Therefore the equation becomes:
y = -36.5x + 182.5
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The equation of the line in standard form is x + 4y = 8
<h3>How to determine the line equation?</h3>
From the question, the points are given as
(0, 2) and (8, 0)
To start with, we must calculate the slope of the line
This is calculated using
Slope = (y₂ - y₁)/(x₂ - x₁)
Where
(x, y) = (0, 2) and (8, 0)
Substitute the known parameters in Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
Slope = (0 - 2)/(8 - 0)
Evaluate
Slope = -1/4
The equation of the line can be calculated using as
y - y₁ = m(x + x₁)
Where
(x₁, y₁) = (0, 2)
and
m = slope = -1/4
Substitute the known values in the above equation
So, we have the following equation
y - 2 = -1/4(x - 0)
This gives
y - 2 = -1/4x
Rewrite as
1/4x + y = 2
Multiply by 4
x + 4y = 8
Hence, the line has an equation of x + 4y = 8
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Answer:
width = 9.36 ft
length = 21.36 ft
Step-by-step explanation:
Let the width be x ft long. Then it follows that the length will be (x+12) ft long.
To calculate the area would then be
x(x+12) = 200
x
x = 9.36 ft or x = -21.36 ft
We take the positive answer. So the dimensions are
width = 9.36 ft
length = 9.36 + 12 = 21.36 ft
