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3 years ago

10

Could you show me how to divide x^3 + 2x^2 + x + 2 by x^2 + 1

1 answer:

DiKsa [7]3 years ago

6 0

Answer:

$x+2$

Step-by-step explanation:

For this division we can first use factoring of the numerator, then eliminate the common factors.

$\frac{x^{3} +2x^{2} +x+2}{x^{2}+1 }$

Factoring the numerator by the term grouping method

$\frac{x^{2} (x+2)+(x+2) }{x^{2} +1}$

$\frac{(x^{2} +1)(x+2)}{x^{2} +1}$

removed terms

$(x+2)$

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Pls pls help me !!!!

Rudik [331]

3,-2 is the right answer i think

7 0

3 years ago

Find the percent of markup. 37.00 to 49.00

Wewaii [24]

So, 100 * (49-37) / 37..You always do whats in parenthesis first; 49-37=12. Then you do multiplication and division, since multiplication comes first we do; 100*12=1200/37. Rounding to the nearest tenth would be 32%

6 0

3 years ago

Read 2 more answers

i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.

Natali [406]

Answer:

$sin\ \varnothing = \frac{-1}{10}\sqrt 2$

$cos\ \varnothing = \frac{-7}{10}\sqrt 2$

$tan\ \varnothing = \frac{1}{7}$

$cot\ \varnothing = 7$

$sec\ \varnothing = \frac{-5}{7}\sqrt 2$

$csc\ \varnothing = -5\sqrt 2$

Step-by-step explanation:

Given

$N = (-7,-1)$ --- terminal side of $\varnothing$

Required

Determine the values of trigonometric functions of $\varnothing$ .

For $\varnothing$ , the trigonometry ratios are:

$sin\ \varnothing = \frac{y}{r}$ $cos\ \varnothing = \frac{x}{r}$ $tan\ \varnothing = \frac{y}{x}$

$cot\ \varnothing = \frac{x}{y}$ $sec\ \varnothing = \frac{r}{x}$ $csc\ \varnothing = \frac{r}{y}$

Where:

$r^2 = x^2 + y^2$

$r = \sqrt{x^2 + y^2$

In $N = (-7,-1)$

$x = -7$ and $y = -1$

So:

$r = \sqrt{(-7)^2 + (-1)^2$

$r = \sqrt{50$

$r = \sqrt{25 * 2$

$r = \sqrt{25} * \sqrt 2$

$r = 5 * \sqrt 2$

$r = 5 \sqrt 2$

<u>Solving the trigonometry functions</u>

$sin\ \varnothing = \frac{y}{r}$

$sin\ \varnothing = \frac{-1}{5\sqrt 2}$

Rationalize:

$sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$sin\ \varnothing = \frac{-\sqrt 2}{5*2}$

$sin\ \varnothing = \frac{-\sqrt 2}{10}$

$sin\ \varnothing = \frac{-1}{10}\sqrt 2$

$cos\ \varnothing = \frac{x}{r}$

$cos\ \varnothing = \frac{-7}{5\sqrt 2}$

Rationalize

$cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}$

$cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}$

$cos\ \varnothing = \frac{-7\sqrt 2}{10}$

$cos\ \varnothing = \frac{-7}{10}\sqrt 2$

$tan\ \varnothing = \frac{y}{x}$

$tan\ \varnothing = \frac{-1}{-7}$

$tan\ \varnothing = \frac{1}{7}$

$cot\ \varnothing = \frac{x}{y}$

$cot\ \varnothing = \frac{-7}{-1}$

$cot\ \varnothing = 7$

$sec\ \varnothing = \frac{r}{x}$

$sec\ \varnothing = \frac{5\sqrt 2}{-7}$

$sec\ \varnothing = \frac{-5}{7}\sqrt 2$

$csc\ \varnothing = \frac{r}{y}$

$csc\ \varnothing = \frac{5\sqrt 2}{-1}$

$csc\ \varnothing = -5\sqrt 2$

3 0

3 years ago

Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200

Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3> ${10}^{x} = 1200$ </h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3> $log_{10}(10) ^{x} = log_{10}(1200)$ </h3><h3 /><h3> $log_{10}(10)^{x} = x log_{10}(10)$ </h3>

But

<h3> $log_{10}(10) = 1$ </h3>

So we have

$x = log_{10}(1200)$

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3> $x = log_{10}(100 \times 12)$ </h3>

<u>Using the rules of logarithms</u>

That's

<h3> $log_{a}(x \times y) = log_{a}(x) + log_{a}(y)$ </h3>

Rewrite the expression

That's

<h3> $x = log_{10}(100) + log_{10}(12)$ </h3><h3 /><h3> $x = log_{10}(10)^{2} + log_{10}(12)$ </h3><h3> $x = 2 log_{10}(10) + log_{10}(12)$ </h3><h3> $log_{10}(10) = 1$ </h3><h3 /><h3> $x = 2 + log_{10}(12)$ </h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0

3 years ago

Find the Area.<br>help sos I need it please I have 15 minutes left to complete this

marysya [2.9K]

Answer:

95

Step-by-step explanation:

6 x 10 = 60

7 x 10 / 2 = 35

35 + 60 = 95

3 0

3 years ago