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velikii [3]
3 years ago
6

Please help me out- ;-;

Mathematics
2 answers:
tigry1 [53]3 years ago
3 0

Answer:

C

Step-by-step explanation:

It is C. because it is the formula for Pythagorean theorem.

timurjin [86]3 years ago
3 0
C.) a^2 + b^2=c^2 good luck
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Is XYZ = ABC? If so, name which similarity postulate or theorem applies.
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There is no information given that shows differences between the two triangles so you can assume that they're similar.  The two angles are next to each other with no side interrupting them, and no side length is given, therefore the answer is Similar - AA (angle - angle)

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What is the y-intercept of a line that has a slope of 1/4 and passes through point (8,3)
Sedbober [7]

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1

Step-by-step explanation:

point slope formula: y-y1=m(x-x1)

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10. Determine the open interval(s) on which the function f(x) = 12x - x^3 is increasing.
Gre4nikov [31]

Answer:

\large\boxed{x\in(-2,\ 2)}

Step-by-step explanation:

f(x)=12x-x^3

Calculate the derivative of the function:

f'(x)=\left(12x-x^3\right)'=(12x)'-\left(x^3\right)'=12-3x^2

Calculate the zeros of the derivative:

f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2

Let's check the derivative sign:

f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

x\in(-2,\ 2)

3 0
4 years ago
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