Domain: Anything at all. All numbers and sub-divisions of a number line. - ∞ < x < ∞
The range is much harder. You could complete the square to get the range, which I will do after we get the answer. The simplest way to get the smallest part of the range is to graph the quadratic. The lowest point is at (-2, -25) so the range is
Range: -25 ≤ y < ∞
Completing the square.
y = x^2 + 4x - 21
y = (x^2 + 4x) - 21
y = (x^2 + 4x + (4/2)^2 ) - 21 - (4/2)^2
y = (x^2 + 4x + 4) - 21 - 4
y = (x + 2)^2 - 25
The minimum point is (- 2,-25) just as the graph predicted.
Answer:
nose mate
Step-by-step explanation:
Answer:
8, 9, 10, 11, 12
Step-by-step explanation:
Consecutive integer problems are often easier to work if you consider average values. Here, the middle of the 5 consecutive integers is their average, which is 50/5 = 10.
This tells you the integer side lengths are 8, 9, <em>10</em>, 11, 12.
Honestly I think you are correct, not trying to take your point. :)
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
In the right triangle ABC
Applying the Pythagorean Theorem
substitute the given values
solve for BC
