Answer:
x = -2
Step-by-step explanation:
Move all terms not containing
x
to the right side of the equation.
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2
x
=
16
Divide each term by
2
and simplify.
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Divide each term in
2
x
=
16
by
2
.
2
x
2
=
16
2
Cancel the common factor of
2
.
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x
=
16
2
Divide
16
by
2
.
x
=
8
The explicit formula for a arithmetic sequence is a_n = a_1 + (n - 1)d.
We want to find a_21.
a_21 = 17 + (21 - 1)(10)
a_21 = 17 + (20)(10)
a_21 = 17 + 200
a_21 = 217
The 21st term is 217.
Answer:
r = 22.629
Step-by-step explanation:
Using the Pythagorean theorem:
(35 + r)² = 53² + r²
1225 + 70r + r² = 2809 + r²
subtract r² from each side of the equation:
1225 + 70r = 2809
subtract 1225 from each side:
70r = 1584
r = 22.629