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Ever decimal is part of a whole. Kind of like .5 the fraction would be 5/10.
Answer:
- <u>The zero is x = 5, and it represents that the diver will enter the pool's surface 5 feet in front of the diving board.</u>
Explanation:
The function is f(x) = - x² - 5x + 50.
Where:
- f(x) is the vertical distance of a diver from a pool's surface, and
- x is the horizontal distance of a diver from the diving board.
A zero of f(x) represents a point where the diver is at the surface of the pool. There might be two possible zeros.
Solve the equation to determine the zeros:
- Multiply both sides by - 1: x² + 5x - 50
- Factor: (x + 10) (x - 5) = 0
- Use zero product property: x + 10 = 0 or x - 5 = 0
- From x + 10 = 0 you get x = - 10
- From x - 5 = 0 you get x = 5.
- The negative zero is not valid as it would be a point behind the diving board, so the meaningful zero is when x = 5, meaning that the diver will touch the surface of the pool at 5 feet in front of the diving board.
Answer:
We have to first see that the given lengths makes a triangle or not by using a+b > c in which a,b and c are
length of sides of a triangle lets check out
16 + 21 = 37 > 28
21 + 28 = 49 > 16
16+ 28 = 44 > 21
As because the statement fits correct in the lengths given so its a triangle
So we can say that the triangle is scalene by means of measurements
but cant be a right angle as by taking the pythagorean triplet
= a^2 + b ^ 2 = c^2
lets see if a=16, b = 21 and c = 28
So a^2 + b^2
= 256 + 441
= 697
but c^2
= 28^2 = 784
As 441 =/= 784
So The triangle lengths cant be a right angled triangle
So 1/2 of possibility is the traingle acute and 1/2 of the possibilty that the triangle is obtuse
Now you can find the correct triangle on the basis of acute or obtuse angle by drawing with given length of sides of triangle
Hope it helps
10.44!
Hope this helped :)