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3 years ago

15

Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is___.

2 answers:

hodyreva [135]3 years ago

8 0

Answer:

27

Step-by-step explanation:

Let's set up a proportion. The numbers are in a ratio of 2 to 3, and the smaller number is 18, while the larger number is unknown. We can call it x.

smaller/larger=smaller/larger

2/3=18/x

Cross multiply. Multiply the numerator of the first fraction by the denominator of the second. Then, multiply the numerator of the second by the denominator of the first.

2*x=3*18

2x=54

We want to find out what x is. We have to get x isolated. Currently, x is being multiplied by 2. The inverse of multiplication is division. Divide both sides by 2.

2x/2=54/2

x=54/2

x=27

The larger number is 27.

Tamiku [17]3 years ago

4 0

Answer:

27

Step-by-step explanation:

2:3

18:?

-

2 x 9 = 18

3 x 9 = 27

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Find the slope of the tangent line to f(x) = √(12-x) at x = -52

wariber [46]

Answer:

slope: -0.0625

Explanation:

To find slope of a function, we have to find the derivative of the function.

Here given the function: f(x) = √(12-x)

<h3><u>Start deriving the equation</u>:</h3>

$\rightarrow \sf \dfrac{dy}{dx} = \dfrac{d}{dx} ( \sqrt{12-x} )$

$\rightarrow \sf \dfrac{dy}{dx} = \dfrac{d}{dx} ( (12-x)^{\frac{1}{2} }} )$

$\rightarrow \sf \dfrac{dy}{dx} = \dfrac{1}{2} ( (12-x)^{\frac{1}{2}-1 }} )(-1)$

$\rightarrow \sf \dfrac{1}{2\sqrt{12-x}}\left(-1\right)$

$\rightarrow \sf -\dfrac{1}{2\sqrt{12-x}}$

$\bold{\star}$ <u>Tangent/Parallel Line Has Same Slope</u>

<u />

To find slope at x = -52, simplify insert x = -52 in derivative we found

$\rightarrow \sf -\dfrac{1}{2\sqrt{12-(-52)}} \ = \ -\dfrac{1}{16} \ \ = \ -0.0625$

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