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3 years ago

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Mathematics

1 answer:

liubo4ka [24]3 years ago

7 0

Answer:

Step-by-step explanation:

the quotient of is the result of dividing two terms

The first term is - Twice a number t: 2t

The second term is - and 12: 12 2t÷12or 2t12

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Find the slope of the line that passes through (-5,-6), (-14,10)

Nostrana [21]

Answer:

$m=-\frac{4}{3}$

Step-by-step explanation:

Formula

$m=\frac{rise}{run}=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$

Solve

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3 years ago

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Mkey [24]

Answer:

There is no error

Step-by-step explanation:

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Write each expression as an algebraic (nontrigonometric) expression in u, u > 0.

max2010maxim [7]

Answer:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

Step-by-step explanation:

We want to write the trignometric expression:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)\text{ where } u>0$

As an algebraic equation.

First, we can focus on the inner expression. Let θ equal the expression:

$\displaystyle \theta=\sec^{-1}\left(\frac{u}{10}\right)$

Take the secant of both sides:

$\displaystyle \sec(\theta)=\frac{u}{10}$

Since secant is the ratio of the hypotenuse side to the adjacent side, this means that the opposite side is:

$\displaystyle o=\sqrt{u^2-10^2}=\sqrt{u^2-100}$

By substitutition:

$\displaystyle= \sin(2\theta)$

Using an double-angle identity:

$=2\sin(\theta)\cos(\theta)$

We know that the opposite side is √(u² -100), the adjacent side is 10, and the hypotenuse is u. Therefore:

$\displaystyle =2\left(\frac{\sqrt{u^2-100}}{u}\right)\left(\frac{10}{u}\right)$

Simplify. Therefore:

$\displaystyle \sin\left(2\sec^{-1}\left(\frac{u}{10}\right)\right)=\frac{20\sqrt{u^2-100}}{u^2}\text{ where } u>0$

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3 years ago

Write the sum of 18 + 27 as the product of their GCF and another sum (PLEASE HELP)

nikdorinn [45]

27
18
----
45

GCF of 45 = 15
Here is a word document on Greatest Common Factors and how to solve it.

Download docx

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3 years ago

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sasho [114]

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