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3 years ago

Use the zero product property to find the solutions to the equation (x + 2) (x + 3) = 12.

Mathematics

1 answer:

Illusion [34]3 years ago

5 0

Answer: O x= -1 or x = 6

Step-by-step explanation:

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Probe that:<br><img src="https://tex.z-dn.net/?f=%20%5Csec%20%5Calpha%20%20%5Csqrt%7B1%20-%20%20%5Csin%28%20%7B%7D%5E%7B2%7D%20%

Nataly [62]

Step-by-step explanation:

<h3> $\sec \alpha \sqrt{1 - \sin ^{2} \alpha } = 1$ </h3>

Prove the LHS

Using trigonometric identities

That's

<h3> $\cos ^{2} \alpha = 1 - \sin^{2} \alpha$ </h3>

<u>Rewrite the expression</u>

We have

<h3> $\sec \alpha \sqrt{ \cos^{2} \alpha }$ </h3>

<h3> $\sqrt{ { \cos }^{2} \alpha } = \cos \alpha$ </h3>

So we have

<h3> $\sec \alpha \times \cos \alpha$ </h3>

Using trigonometric identities

<h3> $\sec \alpha = \frac{1}{ \cos \alpha }$ </h3>

<u>Rewrite the expression</u>

That's

<h3> $\frac{1}{\cos \alpha } \times \cos \alpha$ </h3>

Reduce the expression with cos a

We have the final answer as

As proven

Hope this helps you

7 0

3 years ago

In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximat

PSYCHO15rus [73]

<span>C) 8.19 x 10^8 people </span>

5 0

3 years ago

Read 2 more answers

What would be the rate of change and the initial value

seraphim [82]

Rate of change = 2/1 and the initial value is -2. this can be expressed as y=2x-2.

4 0

3 years ago

Which of the following is equal to (3^-3)(3^7)? 3 ^-10 3 ^10 3 ^4 3 ^-4

bixtya [17]

Answer:

3⁴

Step-by-step explanation:

Hey there! To evaluate $\displaystyle \large{3^{-3} \cdot 3^7}$ , we can simply do by using one of exponent laws.

<u>Laws of Exponent</u>

<u /> $\displaystyle \large{a^m \cdot a^n = a^{m+n}}$

Hence, let m = -3 and n = 7. Therefore, $\displaystyle \large{3^{-3} \cdot 3^7 = 3^{-3+7} \to 3^4}$

Let me know if you have any questions regarding the exponent!

7 0

2 years ago

Someone help ASAP!!

Alinara [238K]

Answer:

Pretty sure is 90 degrees

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers