Answer:
58.4
Step-by-step explanation:
delta math give up
The sides of the triangle are given as 1, x, and x².
The principle of triangle inequality requires that the sum of the lengths of any two sides should be equal to, or greater than the third side.
Consider 3 cases
Case (a): x < 1,
Then in decreasing size, the lengths are 1, x, and x².
We require that x² + x ≥ 1
Solve x² + x - 1 =
x = 0.5[-1 +/- √(1+4)] = 0.618 or -1.618.
Reject the negative length.
Therefore, the lengths are 0.382, 0.618 and 1.
Case (b): x = 1
This creates an equilateral triangle with equal sides
The sides are 1, 1 and 1.
Case (c): x>1
In increasing order, the lengths are 1, x, and x².
We require that x + 1 ≥ x²
Solve x² - x - 1 = 0
x = 0.5[1 +/- √(1+4)] = 1.6118 or -0.618
Reject the negative answr.
The lengths are 1, 1.618 and 2.618.
Answer:
The possible lengths of the sides are
(a) 0.382, 0.618 and 1
(b) 1, 1 and 1.
(c) 2.618, 1.618 and 1.
Hey sorry if I cant show work but here is the point form:
( 0 , 1 ) and ( -3 , -2 )
Answer:
14 grams?
Step-by-step explanation:
56/2=28 28/2=14
Answer: (6, -30)
Step-by-step explanation:
Substitute the points into the equation:
3.5 = -1/2(1^3) - 3(1) + 7 = 3.5: (1, 3.5) is on the graph.
-60.5 = -1/2 (9^2) -3(9) + 7 = -60.5: (9, -60.5) is on the graph.
-1 = -1/2 (-8^2) -3(-8) + 7 = -1. (-8, -1) is on the graph.
-30 = -1/2(6^2) -3(6) + 7 = -29 (6, -30) is not on the graoh.
