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Andrej [43]
2 years ago
9

Let a and b be real numbers where ab+0. Which of the following functions could represent the graph below?

Mathematics
1 answer:
8090 [49]2 years ago
3 0

Answer:

O f(x) = x(x – b) 3

Step-by-step explanation:

\huge\color{aqua}{\boxed{{\colorbox{black}{hope \: it \: helps}}}}

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Sandra knows the Pythagorean identity sin 2 ⁡ θ + cos 2 ⁡ θ = 1 . If she is told that 0 ≤ θ ≤ π 2 and cos ⁡ θ = 5 12, what will
slavikrds [6]

Answer:

\text{tan}(\theta)=\frac{\sqrt{119}}{5}

Step-by-step explanation:

We have been given that Sandra knows the Pythagorean identity \text{sin}^2(\theta)+\text{cos}^2(\theta)=1. She is told that 0\leq \theta\leq \frac{\pi}{2} and \text{cos}(\theta)=\frac{5}{12}.

First of all, we will find value of sine theta using the given identity.

\text{sin}^2(\theta)+\text{cos}^2(\theta)=1

\text{sin}^2(\theta)+(\frac{5}{12})^2=1

\text{sin}^2(\theta)+\frac{25}{144}=1

\text{sin}^2(\theta)+\frac{25}{144}-\frac{25}{144}=1-\frac{25}{144}

\text{sin}^2(\theta)=\frac{144-25}{144}

\text{sin}^2(\theta)=\frac{119}{144}

\text{sin}(\theta)=\sqrt{\frac{119}{144}}

\text{sin}(\theta)=\frac{\sqrt{119}}{12}  

\text{tan}(\theta)=\frac{\text{sin}(\theta)}{\text{cos}(\theta)}

\text{tan}(\theta)=\frac{\frac{\sqrt{119}}{12}}{\frac{5}{12}}

\text{tan}(\theta)=\frac{\sqrt{119}*12}{5*12}=\frac{\sqrt{119}}{5}

Therefore, \text{tan}(\theta)=\frac{\sqrt{119}}{5}.

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3 years ago
37 is nearest to what multiple of 10?
Kaylis [27]
4 because 4 x 10 = 40 and 3 x 10 = 30 so 4 is closer
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3 years ago
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What is the reason that absolute value is always written as a positive?
trapecia [35]

Answer:

Absolute value is talking about distance (Distance from zero); distance is always measured by positive numbers.

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I need to know the answers for these, anyone help please
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Step-by-step explanation:

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At Store #1 for $625 you can buy 25 pairs of shoes. What is the cost for 1 pair of shoes?
Reptile [31]

Answer:25

Step-by-step explanation:

625/25=25

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