Answer:
C. y= 3(x + 2)^2 + 2
Step-by-step explanation:
A. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , − 2 )
B. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
C. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( − 2 , 2 )
D. Rewrite in vertex form and use this form to find the vertex
( h , k ) . ( 2 , 2 )
a. First five terms: 9,13,17,21,25
b. Sum of first 25 terms = 1425
c. The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
Further explanation:
Given
Formula of sequence
<u>1. First 5 terms:</u>
For first 5 terms, we have to put n=1,2,...5,
So,
<u>2. Sum of first 25 terms:</u>
For that we have to find 25th term first
The formula for sum is:
<u>3. Type of sequence</u>
The given sequence is an arithmetic sequence because the common difference between two consecutive terms is same.
i.e.
Keywords: Arithmetic sequence, Sum of arithmetic sequence
Learn more about arithmetic sequence at:
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Answer:
Step-by-step explanation:
Sometimes, it is easiest to let a calculator do the work. (See below)
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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
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tan(2θ) = 2tan(θ)/(1 -tan(θ)²) = 2(-3/4)/((16-9/16) = (-6/4)(16/7)
tan(2θ) = -24/7
