Answer:
60 push-ups
Step-by-step explanation:
Set up a ratio to represent the problem:
Molly : Liza
10 : 15
40 : ?
How did we get from 10 to 40?
You multiply by 4. Therefore, multiply by 4 on both sides of the ratio.
10 : 15
x4 x4
40 : 60
So, Liza does 60 push-ups while Molly does 40.
Square needs to have all equal sides and length and width are the same.
So sqrt the area.
sqrt 121 = 11
11 feet is the length of one side, square has 4.
So
11 * 4 = 44
The perimeter of a square (whose area is 121 feet) is 44 feet.
Answer:
Fourth degree polynomial (aka: quartic)
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Work Shown:
There isnt much work to show here because we can use the fundamental theorem of algebra. The fundamental theorem of algebra states that the number of roots is directly equal to the degree. So if we have 4 roots, then the degree is 4. This is assuming that there are no complex or imaginary roots.
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If you want to show more work, then you would effectively expand out the polynomial
(x-m)(x-n)(x-p)(x-q)
where
m = 4, n = 2, p = sqrt(2), q = -sqrt(2)
are the four roots in question
(x-m)(x-n)(x-p)(x-q)
(x-4)(x-2)(x-sqrt(2))(x-(-sqrt(2)))
(x-4)(x-2)(x-sqrt(2))(x+sqrt(2))
(x^2-6x+8)(x^2 - 2)
(x^2-2)(x^2-6x+8)
x^2(x^2-6x+8) - 2(x^2-6x+8)
x^4-6x^3+8x^2 - 2x^2 + 12x - 16
x^4 - 6x^3 + 6x^2 + 12x - 16
We end up with a 4th degree polynomial since the largest exponent is 4.
Answer:
y=x^2
Step-by-step explanation:
