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Rainbow [258]
3 years ago
14

7x-10+2x=39+2x what is the answer

Mathematics
1 answer:
stich3 [128]3 years ago
6 0

Answer:

X=7

Step-by-step explanation:

STEP 1: Simplify both sides of the equation

7x + -10 + 2x =39 + 2x

(7x + 2x) + (-10) = 2x + 39 (combine like terms)

9x -10 = 2x + 39

step 2: Subtract 2x from both sides

9x -10 - 2x = 2x + 39 - 2x

7x - 10 =39

Step 3: Add 10 to both sides.

7x - 10 + 10 = 39 + 10

7x = 49

Step 4: Divide both sides by 7.

7x/ 7 = 49/7   <u> x=7</u>

<u>hope this helps!!</u>

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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
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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

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

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

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

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

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

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