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Schach [20]
4 years ago
14

WILL GIVE YOU BRAINLIEST + 22 POINT QUESTION!

Mathematics
2 answers:
Alina [70]4 years ago
6 0

Answer:

√55x\11x⁸y⁵

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Alinara [238K]4 years ago
4 0

Answer: C

Explanation:

√55x⁷y⁶/11x¹¹y⁸

→ 55/11 = 5

→ x⁷/x¹¹= x⁷⁻¹¹= x⁻⁴

→ y⁶/y⁸= y⁶⁻⁸= y⁻²

→ √5/x⁴y²

→ √5/x²y

If the exponent is a negative, the base is the reciprocal of itself with a positive exponent.

Ex: 6⁻² = 1/6² = 1/36

The square root of an exponent with a positive, even power is half of that power.

Ex: √x⁴ = x²

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4cm ×6cm(parallelogram)

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B: The associate property of addition.
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Without graphing, find the slope of each line described below.
AVprozaik [17]
A) m= (5-1)/(2-4)= -2
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5 0
3 years ago
Please Help! will give brainlest!
zzz [600]

Answer:

\theta  = \frac{\pi}{3} ,  \pi, \frac{5\pi}{ 3}

Step-by-step explanation:

we want to solve the following trigonometric equation:

\displaystyle  - 2 { \sin}^{2}  (\theta )+  \cos( \theta)  + 1 = 0,  \:  \theta \in [0,2\pi)

The first step of solving trigonometric equation is to rewrite the equation in terms of one trigonometric function . With Pythagorean theorem, we know that sin²x=1-cos²x . It will be helpful to rewrite the equation in terms of one trig functions. Therefore, substitute 1-cos²\theta in the place of sin²\theta:

\displaystyle  - 2 (1 -  \cos  ^{2} ) +  \cos( \theta)  + 1 = 0,  \:  \theta \in [0,2\pi)

simplify:

\displaystyle\implies  - 2 (1 -  \cos  ^{2} (\theta) +  \cos( \theta)  + 1 = 0,  \:  \theta \in [0,2\pi)\\\implies- 2  +  \cos  ^{2} (\theta)+  \cos( \theta)  + 1 = 0,  \:  \theta \in [0,2\pi)\\\implies\cos  ^{2} (\theta)+  \cos( \theta)  -1 = 0

Consider cos² \theta\implies x. Thus,

2 {x}^{2}  + x  - 1 = 0

solving the quadratic equation yields:

{x}^{}   =  \frac{1}{2}    \\  x  =  - 1

back-substitute:

\begin{cases}  \cos( \theta)     =  \dfrac{1}{2}    \\    \cos( \theta)   =  - 1  \end{cases}  \theta \in[0,2\pi)

take inverse trig in both sides

\implies \begin{cases}   \theta  =   \dfrac{\pi}{3}   + 2n\pi\\\theta= \frac{5\pi}{3}   +  2n\pi   \\    \theta   =  \pi + 2n\pi\end{cases}  \theta \in[0,2\pi)  \\\\\implies\theta= \frac{\pi}{3}+\dfrac{2n\pi}{3},\theta\in [0,2\pi)\\\text{when n=0}\\ \implies   \theta  = \frac{\pi}{3} \\ \text{when n=1}\\ \theta= \pi\\ \text{when n=2}\\\theta=\frac{5\pi}{ 3}

In conclusion,

\displaystyle\theta  = \frac{\pi}{3} ,  \pi, \frac{5\pi}{ 3}

7 0
2 years ago
Label ABC with the following information.<br> m/A = 21°<br> AC = 13<br> Find BC.
yaroslaw [1]

Answer:

BC = 4.7

Step-by-step explanation:

From the question given above, the following data were:

Angle A = 21 °

Hypothenus = AC = 13

Opposite = BC =?

The length of BC can be obtained by using sine ratio as illustrated below:

Sine A = Opposite /Hypothenus

Sine 21 = BC / 13

0.3584 = BC / 13

Cross multiply

BC = 0.3584 × 13

BC = 4.7

Thus, the length of BC is 4.7

7 0
3 years ago
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