"Combinations" isn't really the right word, because a combination doesn't take order of elements into account, and the outcome of a race certainly does depend on order. "Permutations" would be the correct term.
If 4 students are competing, then the race has
4! = 4 • 3 • 2 • 1 = 24
possible outcomes.
Since this is a right triangle, we can use the Pythagorean Theorem, which states a² + b² = c² in a right triangle.
Plugging our numbers in, we get:
(12)² + (35)² = c²
From there, we can square the numbers.
(144) + (1225) = c²
Then, we can add them together to find the sum;
(1369) = c²
And finally, we can find the square root of both sides.
(37) = c
Therefore, 37 is the answer and your answer choice is correct.
The function f(x) = 5x² + 40x is a parabola. Then the vertex of the parabola will be at (–4, –80).
<h3>What is the parabola?</h3>
It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
The function f(x) = 5x² + 40x
Then add and subtract 80, then we have
f(x) = 5x² + 40x + 80 – 80
f(x) = 5(x² + 8x + 16) – 80
f(x) = 5(x + 4)² – 80
The vertex of the parabola will be at (–4, –80).
More about the parabola link is given below.
brainly.com/question/8495504
Answer:
<h3>18:00 </h3>
Step-by-step explanation:
6:00 PM equals 18:00 in 24 hrs clock time.
<h3>Hope it helps you.. </h3>
50 Miles at an average rate
