Part 1) The equation of a circle is (x+4)²+(y−5)²<span>=121.
What is the center and radius of the circle?
we know that
the equation of a circle is of the form
(x-h)</span>²+(y-k)²=r²
in the problem
(x+4)²+(y−5)²=121.------> (x+4)²+(y−5)²=11²
the center (h,k) is the point (-4,5) and the radius is 11
Part 2) we have that
(x+15)²+(y−12)²=25-------> (x+15)²+(y−12)²=5²
we know that
<span>the greatest distance, in feet, a person could be from the lamp and be detected is the radius
</span>
the radius is equal to 5 ft
the answer Part 2) is 5 ft
Part 3) we have that
(x−9)²+(y+11)²=16--------> (x−9)²+(y+11)²=4²
the radius is equal to 4 m
so the diameter is ------> 4*2-----> 8 m
the answer Part 3) is
8 m
Answer:
I think it may be B
Step-by-step explanation:
I think it might be B. but im not. sure
The area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
<h3>What is integration?</h3>
It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.
We have two curves:
y=x³-8x² 18x-5 and
y=x + 5
The intersection point will be:
(1, 6), (2, 7), and (5, 10)
From the graph, we can integrate to evaluate the area enclosed by the curves:
After calculating, we get:
Area = 142/12 = 71/6 or 11.83 square units
Thus, the area enclosed by the curves y=x³-8x² 18x-5 and y=x + 5 is 71/6 or 11.83 square units.
Learn more about integration here:
brainly.com/question/18125359
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Greater than 1.
1.48-.25 is 1.23 which is greater than 1