Answer: -2, 2, 6, 10, 14
It is an Arithmetic sequence.
Step-by-step explanation:
Given Recursive formula : , for n ≥ 1 and A(1) = -2.
Hence, the five terms of given sequence= -2, 2, 6, 10, 14
Since, there is common difference of 4 in two consecutive terms.
Therefore, it is an Arithmetic sequence.
Answer: h=7
Step-by-step explanation:
By definition the function in vertex form is:
Where (h,k) is the vertex of the parabola.
You must group the terms that contain the same variable in the function:
Complete the square as following:
Now you must rewrite it as following:
Then:
h=7
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The blanks are trying to lead you through the process of finding the point of interest.
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The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)
The ratio you're trying to divide the line into is the ratio that goes in this blank:
Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)
Move <u> 6 </u> units <u> left </u> from point T.
The vertical distance from T to S is <u> 6 </u>.
Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)
Move <u> 4 </u> units <u> up </u> from point T.
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Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).
Take the unknown number as 'y'.
=》33% = 33/100
=》1.45 = 145/100
33/100 × y = 1.45
33/100 × y = 145/100
33y = 145/100 × 100/1
33y = 145
y = 145/33
y = 4.39
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