A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
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.
7/12 times 4 is 2 1/3. So 2 1/3 inches each week
Answer:
y = 16x + 6
Step-by-step explanation:
They charge $14 for each DVD, which mean the slope of the function is 14
You must pay an additional $6 for shipping and handling, which means no matter how many DVD you buy, you have to pay a flat fee for $6
So our function is:
y = 16x + 6 where:
y is total cost
x is the number of DVD you buy (x>0)
Answer:
2, 4 ,6 8
Step-by-step explanation:
Given condition y = 2x
When x = 1 , y = 2 *1 = 2
When x = 2 , y = 2 * 2= 4
when x = 3 , y = 2* 3 = 6
When x = 4 , y = 2 * 4 = 8
Hope it will help :)
