If a right angles triangle has 3 sides (x, x+1, 5) and then longest side is 5, what is x?
1 answer:
<h3>Answer:</h3>
x = 3
<h3>Explanation:</h3>The Pythagorean theorem tells you the relationship between the sides is ...
... x² + (x+1)² = 5²
... 2x² +2x +1 = 25
... x(x +1) = 12 . . . . . . subtract 1, divide by 2
We know that 12 = 3·4, so we can match values to the factors in the above equation to get ...
... x = 3
_____
You can solve by factoring, completing the square, graphing, the quadratic formula, or any other means you might devise to find that the solutions to the equation x² +x -12 = 0 are x = -4 and x = 3. In a geometry problem where x is a length, the solution x = -4 is extraneous.
You might be interested in
Answer:
(-∞, -2), (-2, -0.618), and (1.618, 3)
Step-by-step explanation:
The red plus (+) signs indicate the regions in which the function is concave up, and the red negative (-) signs indicate the regions in which the function is concave down.
Note that the sign of the concavity changes at an inflection point.
Let's examine the intervals given.
(-∞, -2): Yes, concave up.
(-∞, -1.17): No. Concave up in (-∞, -2) but concave down in (-2, -1.17).
(-2, 0): No. Concave down in (-2, -1.17) but increasing in (-1.17, 0.0).
(-1.17, 0.689): Yes. Concave up.
(-0.618, 1.618): No. Concave up in (-0.618, 0.689) but concave down in (0.689, 1.618).
(0, 3): No. Concave up in (0, 0.689), concave down in (0.689, 2.481), and concave up in (2.481, 3).
(2.481, ∞): Yes. Concave up.
The three intervals that are concave up are (-∞, -2), (-1.17, -0.689), and (2.481, ∞).
Answer:
Step-by-step explanation:
f'(x)=-sin x
c=0∈(-π/3,π/3)
click on it to view full solution.
I think it is right
