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1 answer:
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Okay so you need to use the Pythagorean theorem which is a^2 + b^2 = c^2
13^2 + b^2 = 47
169 + b^2 = 2,209
Move constant to the right
b^2 = 2,209 - 169
Subtract the numbers
b^2 = 2,040
Take the root of both sides
The final steps an answers are above on the image;)
13^2 + b^2 = 47
169 + b^2 = 2,209
Move constant to the right
b^2 = 2,209 - 169
Subtract the numbers
b^2 = 2,040
Take the root of both sides
The final steps an answers are above on the image;)
Answer:
The two possible solutions are x = 7, or x = -2
which agree with answer a) in the list of options
Step-by-step explanation:
Start by moving all terms to one side of the equal sign, and then factoring out the constant term:
The constant term "-14" has ossible factors: (-1), (1) (-2), (2), (-7), (7), (-14), (14) and we look for a pair whose combining results in "-5" (the coefficient of the middle term. We find (-7) and (2) the appropriate factors, so we use then to split the middle term and then factor by grouping:
Then if the product of these two binomial factors is zero, it means that the first binomial is zero, or the second one is zero. That is:
( x - 7 ) = 0 which means x = 7
or
( x + 2 ) = 0 which means x = -2
So the two possible solutions are x = 7, or x = -2