Is (-3,4) a solution to y=2x+2??
1 answer:
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9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
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Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
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If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.
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<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).
Answer:
the surface area will increase 16 feet per minute
Step-by-step explanation:
Allow me to revise your question for a better understanding.
<em>A spherical balloon is inflating with helium at a rate of 64π Start Fraction ft cubed Over min End Fraction ft3 min. How fast is the balloon's radius increasing at the instant the radius is 2 ft? How fast is the surface area increasing? </em>
My answer:
Given that:
(1)
As we know that, the volume of a spherical balloon can be calculated by using the following formula:
where r is the radius
Substitute V into (1), we have:
In this situation, the instant radius is: 2f
So we have:
The radius of the balloon is increasing at a rate of 4 feet per minute
The the surface area has the formula as:
SA1 = 4π
If the radius of the balloon is increasing at a rate of 4 feet per minute, so the
the surface area will increase 16 feet per minute because:
SA2 : 4π = 16 (4π
) = 16 SA1
Hope it will find you well.