Answer:
19.37.
Step-by-step explanation:
Integrating the function we get
x^4/4 - 5x^3/3 + x^2 + 8x
Area under the curve from x = -1 to x = 0
= (-1)^4/4 - 5(-1)^3/3 + (-1)^2 - 8
= 5.083
In a similar way we calculate area from 0 to 2
this = 10.667.
Total = 15.75.
Now we subtract 12.13 to get the area from x = 2 to x =p.
= 15.75 - 12.13 = 3.62
So total shaded area = 15.75 + 3.62
= 19.37.
The inequality that represents the possible length of the patio is √A < 625.
<h3 /><h3>How to represent an inequality?</h3>
Maddie's backyard is 25 meters by 25 meters.
Therefore,
area of the backyard = 25 × 25 = 625 m²
Hence,
She wants to put a square cement patio in her backyard.
A = area of the patio, in square meters.
Hence,
area of the backyard = 625 m²
Therefore, the inequality that represents the possible length of the patio is √A < 625.
learn more on inequality here: brainly.com/question/23919881
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The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line(
) = 0.25
Let 
be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and 
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16
Answer:
The identity property
Step-by-step explanation:
anything added to 0 is itself.
Answer:
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