Answer:
Step-by-step explanation:
The first step in solving the equation is to cube both sides:
(∛x)³ = (-4)³ . . . . . = (-4)(-4)(-4) = 16(-4) = -64
x = -64 . . . . . simplified
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We're not sure what "checking" is supposed to involve here. Usually, one would check the answer by seeing if a true statement is made when the answer is put into the original equation.
∛(-64) = -4 . . . true
Many calculators will not compute √(-64) because they compute roots using logarithms. The log of a negative number is not defined.
So, the way one would check this is to cube both sides, which is how we got the answer in the first place. We expect the same result from doing the same operation again, so it isn't really a check.
Answer:
Circumscribed circle: Around 80.95
Inscribed circle: Around 3.298
Step-by-step explanation:
Since C is a right angle, when the circle is circumscribed it will be an inscribed angle with a corresponding arc length of 2*90=180 degrees. This means that AB is the diameter of the circle. Since the cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse:

To find the area of the circumscribed circle:

To find the area of the inscribed circle, you need the length of AC, which you can find with the Pythagorean Theorem:

The area of the triangle is:

The semiperimeter of the triangle is:

The radius of the circle is therefore 
The area of the inscribed circle then is
.
Hope this helps!
Answer:
y=2x+3
Step-by-step explanation:
first use the y2-y1/x2-x1 then use y=mx+b after
plug in 3 for y2 and 5 for y1
then plug in 0 for x2 and 1 for x1
=
and 2 is ur slope
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now use y=mx+b
i usually use the first point but u can u anyone u want
plug in 1 for x
plug in 5 for y
and plug in 2 for m
5=2(1)+b
5=2+b
subtract 2 on both sides
5-2=3
3=b and b is ur y-intercept
y=2x+3
hope this helps
Answer:
23250
Step-by-step explanation:
23250 square inches are in 15 square meters.