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yarga [219]
3 years ago
13

Use inductive reasoning to find the 10th term in the sequence 5, 8, 11, 14, ...

Mathematics
1 answer:
yuradex [85]3 years ago
4 0

Answer

d) 32

Step-by-step explanation

add 3 to each number until you reach the tenth spot in the sequence of numbers.

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Read 2 more answers
The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma
Amiraneli [1.4K]
In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20


The length of a side must be a positive number, so x=15.
The answer is C.
6 0
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