Answer:
False
Step-by-step explanation:
A commonly known Pythagorean Triple for a right triangle is a 3-4-5 triangle. Something so close will not be a perfect right triangle, but may be close.
The smallest prime number of p for which p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
<h3>What is the smallest prime number of p for which p must have exactly 30 positive divisors?</h3>
The smallest number of p in the polynomial equation p^3 + 4p^2 + 4p for which p must have exactly 30 divisors can be determined by factoring the polynomial expression, then equating it to the value of 30.
i.e.
By factorization, we have:
Now, to get exactly 30 divisor.
- (p+2)² requires to give us 15 factors.
Therefore, we can have an equation p + 2 = p₁ × p₂²
where:
- p₁ and p₂ relate to different values of odd prime numbers.
So, for the least values of p + 2, Let us assume that:
p + 2 = 5 × 3²
p + 2 = 5 × 9
p + 2 = 45
p = 45 - 2
p = 43
Therefore, we can conclude that the smallest prime number p such that
p^3 + 4p^2 + 4p has exactly 30 positive divisors is 43.
Learn more about prime numbers here:
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Answer:
yes because no one is perfect than god.
I would make the equation have both of your variables on the same side:
0.1x+y=1
Then I would use the cover-up method and say that
x-intercept= 10
y-intercept= 1
*Cover-Up Method: If you were finding the X-intercept, you would just ignore the y variable and divide your whole number by x.
In this case the whole number is 1. 1/0.1=10
Vice Versa with finding the Y-intercept