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olga2289 [7]
3 years ago
14

If (9^2)p = 9^8, what is the value of p?

Mathematics
2 answers:
Sever21 [200]3 years ago
6 0

Answer:

p = 4

Step-by-step explanation:

(9^2)p = 9^8

In this equation 9 is raising to a power. Since the number being raised is same on both sides, it rules out itself.

:.2p = 8

p = 8/2

p = 4

Stolb23 [73]3 years ago
4 0
When you're raising a power to a power, you multiply.
Since they are equal the exponent has to be the same.
2p=8; this is the equation we'll use to make sure we get the value of p. Let's divide.
8÷2=4=p

So, p=4.
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Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
Arada [10]

Answer: f(120°) = (√3) + 1/2

Step-by-step explanation:

i will solve it with notable relations, because using a calculator is cutting steps.

f(120°) = 2*sin(120°) + cos(120°)

           =2*sin(90° + 30°) + cos(90° + 30°)

here we can use the relations

cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)

sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)

then we have

f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) +  cos(90°)*cos(30°) - sin(90°)*sin(30°)

and

cos(90°) = 0

sin(90°) = 1

cos(30°) = (√3)/2

sin(30°) = 1/2

We replace those values in the equation and get:

f(120°) = 2*( 0 +  (√3)/2) + 0 +  1/2 = (√3) + 1/2

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