Answer:
Yes
Step-by-step explanation:
A right triangle's formula, according to Pythagorean's Theorem, is a² + b² = c². a and b are the two legs, and c is the hypotenuse. To solve, we must substitute the variables with the given measurements.
9² + 12² = 15²
Let's now solve:
81 + 144 = 225
225 = 225
The formula works out in the end, so it is a right triangle!
Answer:
6.5
Step-by-step explanation:
6 is a whole number
And 5 is in the tenths place
In both cases you may well benefit from graphing the functions.
Do you recognize f(x) = (x + 1)^2 - 1 as a quadratic function, whose graph is that of a parabola that opens up? By comparing this to y = a(x-h)^2 + k, we see that a=1, h= -1 and k = -1. The vertex is at (h,k), which here is the point (-1, -1). This is the minimum value of the function. Thus, the range of this function is [-1, infinity).
Now for the function f(x) = 7x - 11: This is a linear function whose graph is (surprise!) a straight line. When x increases, y increases, without limits to either. Similarly, when x decreases, y decreases.
Thus the range includes all real numbers: (-infinity, infinity).
Giant spider crabs tend to be farther from the surface of the ocean than Atlantic wolffish
