For this question, we have to use the Pythagorean theory since we're dealing with a right triangle.
a² + b² = c²
We're given the value of the hypotenuse and a leg, therefore we're looking for the value of the other leg.
Now let's plug in the given data into our equation.
2² + b² = 5²
4 + b² = 25
b² = 25 - 4
b² = 21
√b² = √21 = b
The correct answer is B) √21
7. 2/9 + 7/9 is 9/9 which is 1.
4+2+1 is 7.
The appropriate choices appear to be the ones indicated.
A. The function g(x) is shifted right 2 places and up 3 places from f(x). It could be written
... g(x) = f(x -2) +3
We assume this is the intent of the arrow notation used: f(x) → g(x).
B. The function goes through (1, 0) and (5, 1), consistent with a log that has a base of 5.
The answers seem to be as shown in the attachment.