Answer:
Step-by-step explanation:
The line passes through the origin has an equation y = mx
m - slope
The formula of a slope of a line passes through the origin
and a point (x, y):
We have the point (6, 8). Substitute:
Finally:
A. The
y-intercept (b) of a linear equation is obtained when x = 0. Therefore from the
given table,
y - intercept
= 8
Since at
time zero the displacement is 8 ft, this means that the horse was already
outside the barn initially.
B. The
average rate of change of the function represents the slope of the linear
equation (m). This can be calculated using the formula:
average rate
of change = m = (y2 – y1) / (x2 – x1)
m = (158 –
58) / (3 – 1)
m = 50
<span>C. Since we have determine the y-intercept and
the slope, we can formulate the linear equation:</span>
y = m x + b
y = 50 x + 8
The domain
is the value of x. When y = 508, x is equivalent to
508 = 50 x +
8
<span>x = 10 hrs</span>
<h3>
Answer: A) -2</h3>
==========================================
Explanation:
Let's find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (2-7)/(-6-4)
m = (-5)/(-10)
m = 1/2
The slope of line AB is 1/2
To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope
1/2 becomes -2/1 or simply -2
----------
Slope of AB = 1/2
Slope of BC = -2
Notice how the two perpendicular slopes multiply to -1.
We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.
Answer:
22.2 ft²
Step-by-step explanation:
The area (A) of a sector is calculated as
A = area of circle × fraction of circle
= πr² × 
= π × 7.13² × 
= 
≈ 22.2 ft² ( nearest tenth )
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Thus :
1 / 4 % of 3 is 0.75 .
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