What is the answer to number 18?

Mathematics

1 answer:

dmitriy555 [2]3 years ago

7 0

Answer: 3n ×9

Step-by-step explanation:

The product of 3 times a N number equals 3n or 3 ×N but you should write 3n then times it by 9

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What is f(x) - g(x)?

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1. when y=7 , what is the value of x?<br><br> 2. what is the y-intercept of the graph?

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If tan0=-3/4 and 0 is in quadrant IV, cos20= (33/25, -17/25, 32/25, 7/25, 24/25?) and tan20= (24/7, -24/7, 7/25, -7/25, 13/7, -1

Oksana_A [137]

Answer:

cos(2θ) = 7/25
tan(2θ) = -24/7

Step-by-step explanation:

Sometimes, it is easiest to let a calculator do the work. (See below)

The magnitude of the tangent is less than 1, so the reference angle will be less than 45°. Then double the angle will be less than 90°, so will remain in the 4th quadrant, where the cosine is positive and the tangent is negative.

You can also use the identities ...

cos(2θ) = (1 -tan(θ)²)/(1 +tan(θ)²)

cos(2θ) = (1 -(-3/4)²)/(1 +(-3/4)²) = ((16-9)/16)/((16+9)/16)

cos(2θ) = 7/25

tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)

tan(2θ) = -24/7