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3 years ago

How can the subtraction problem 9−4 be rewritten as an addition problem?

Mathematics

1 answer:

MAXImum [283]3 years ago

5 0

Answer:

The answer is c. 9+(-4)

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1 year ago

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amm1812

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3 years ago

Find all critical numbers of the function <img src="https://tex.z-dn.net/?f=g%28x%29%3Dx%5E%7B%5Cfrac%7B3%7D%7B4%7D%20%7D-2x%5E%

postnew [5]

Differentiate g using the power rule:

$g'(x) = \dfrac34 x^{\frac34-1} - 2\cdot\dfrac14 x^{\frac14-1}$

$g'(x) = \dfrac34 x^{-\frac14} - \dfrac12 x^{-\frac34}$

$g'(x) = \dfrac14 x^{-\frac34} \left(3 x^{\frac12} - 2\right)$

$g'(x) = \dfrac{3\sqrt x - 2}{4 x^{\frac34}}$

The critical points of g occur where g' is zero or undefined.

We have

$g'(x) = 0 \implies 3\sqrt x - 2 = 0 \implies \sqrt x = \dfrac23 \implies \boxed{x = \dfrac49}$

and the derivative is undefined for

$\dfrac1{g'(x)} = 0 \implies 4x^{\frac34} = 0 \implies \boxed{x=0}$

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2 years ago

The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder.

olga_2 [115]

<em>Note: You missed to add the answer choices, so I am solving the overall procedure to determine the radius of the cylinder so that you could easily figure out the right choice.</em>

Answer:

The radius of the cylinder:

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Step-by-step explanation:

The volume of a cylinder is represented by the formula

V=πr²h

here

r is the radius

h is the height

The radius of the cylinder can be computed using the formula of the volume of a cylinder

V = πr²h

r² = V / πh

Taking square roots

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Thus, the formula of the radius of the cylinder.

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

Therefore, the radius of the cylinder:

$r\:=\:\sqrt{\frac{v}{\pi \:h}}$

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3 years ago

What is the length of the hypotenuse of the triangle below?

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square oh the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

h² = (9 $\sqrt{2}$ )² + (9 $\sqrt{2}$ )² = 162 + 162 = 324 ( take the square root of both sides )

h = $\sqrt{324}$ = 18 → D

4 0

3 years ago