X^2+8x+19+39/(x-2)
I cant show how to use synthetic unless I attach a file
Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,

From this explicit formula,
First term of the sequence will be,


Second term of the sequence,

= 13
3rd term of the sequence,

= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,



= 13



= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer:

Step-by-step explanation:
We can find the distance using the distance formula:
We then substitute (1,7) as
and (-3,-1) as
.
The figure is made up of two semi-circles and one triangle
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Find Radius
--------------------------------
Radius = Diameter ÷ 2
Radius = 5 ÷ 2
Radius = 2.5 ft
Area of the semi-circle = 1/2 πr²
Area of the semi-circle = 1/2 x π x (2.5)²
Area of the semi-circle = 9.82 ft²
Area of the triangle= 1/2 x base x height
Area of the triangle = 1/2 x 6 x 4
Area of the triangle = 12 ft²
Total area = 9.82 + 9.82 + 12
Total area = 31.63 ft²
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Total Area = 31.63 ft²
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Answer:
Step-by-step explanation: