Which equation can be used to find the unknown length, a, in this triangle?
1 answer:
Answer:
Here is the complete question.(attachment)
The correct choice is
Step-by-step explanation:
We will apply the Pythagoras formula to calculate the perpendicular length (a).
Pythagoras formula
The right angle is formed between and
length.
So is the hypotenuse opposite to right angle is the longest side and called the hypotenuse.
So
So the measure of side length is
.
That can be calculated from the option A that is .
Note:Please don't look to the marked answers that was wrong in the attachment.
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9514 1404 393
Answer:
- real: -1, 2; complex: +i, -i
- 1, 3, 4
Step-by-step explanation:
1. The graph (red) shows the only real zeros to be -1 and 2. When the corresponding factors are divided from the function, the remaining factor is the quadratic (x^2 +1), which has only complex roots. The quadratic is graphed in green.
The linear factorization is ...
f(x) = (x +1)(x -2)(x -i)(x +i)
The roots are -1, 2, -i, +i.
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2. The graph (blue) shows the zeros are 1, 3, 4.
You observe that the sum of coefficients is zero, so x=1 is a root. Factoring that out gives the quadratic (x^2 -7x +12), which you recognize factors as
(x -3)(x -4) . . . zeros of 3 and 4
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I have attached a spreadsheet that does synthetic division. There are web sites that will do this, too. The tables shown correspond to f1(x)/(x-2) and f2(x)/(x-1). When you fill in the zero and coefficients, the built-in formulas do the rest.
