Answer:
The positive value of 
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let 
, roots are those values of 
so that 
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:
The smaller root is 
, and the larger root is 
.
has one real root when 
. Then, we solve the discriminant for :
The positive value of will result in exactly one real root is approximately 0.028.
The answer is: 12 centimeters.
The explanation is shown below:
1. By definition, all four sides of the square are equal and the diagonals are equal too.
2. Keeping the information above on mind, you know that AC and BD are equal:
3. Then, the length of BD is twice BE. So, you can calculate it as following:
4. Therefore, the lenght of AC is:
Answer:
x = 48.
Step-by-step explanation:
If AE is 921, then EC is equivalent to that. First, you subtract 9 from 921, then divide by nineteen to get your answer: x = 48.
The simple way of calculating a perimeter is to add all of the sides.
For a rectangle this would equal 2 x length + 2 x width
P = 2(6x + 3) + 2(-2x - 5)
= 12x + 6 - 4x - 10
= 8x - 4
At a higher level both the length and width must be greater than zero (= zero is a trivial rectangle)
6x + 3 > 0
6x > -3
x > -0.5
-2x - 5 > 0
2x + 5 < 0 (multiplying by -1 reverses the inequality)
2x < -5
x < -2.5
This rectangle cannot exist as x cannot be < -2.5 and > -0.5 at the same time!
