3 years ago

What is the length of bd?

1 answer:

3 0

12. Since the length of DC is half of 10, which is 5 and using Pythagorean, it can be said 13^2 = x^2 + 5^2 so x^2 is 144

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What is the gcf of x^5 y^3 , x^6 y^6

Karo-lina-s [1.5K]

Answer:

Gcf = x⁵y³

Step-by-step explanation:

x⁵y³

x⁶y⁶ = x⁵xy³y³

The GCF is the largest number common to each list

Gcf = x⁵y³

4 0

4 years ago

What is limit of f(x) = (x^3-2x^2-9x+4)/(x^2-2x-8) as x approaches 4

sattari [20]

$\displaystyle\lim_{x\to4}\frac{x^3-2x^2-9x+4}{x^2-2x-8}$

First notice that $x^2-2x-8=(x-4)(x+2)$ . If $x-4$ is not a factor of the numerator, then there is a non-removable discontinuity at $x=4$ , and a removable discontinuity otherwise.

You have $4^3-2\times4^2-9\times4+4=0$ , which means, by the polynomial remainder theorem, that $x-4$ is indeed a linear factor of the numerator. Dividing yields a quotient of

$\dfrac{x^3-2x^2-9x+4}{x-4}=x^2+2x-1$

so the limit is

$\displaystyle\lim_{x\to4}\frac{x^2+2x-1}{x+2}=\frac{4^2+2\times4-1}{4+2}=\frac{23}6$