Answer:
k = - 
, k = 2
Step-by-step explanation:
Using the discriminant Δ = b² - 4ac
The condition for equal roots is b² - 4ac = 0
Given
kx² + 2x + k = - kx ( add kx to both sides )
kx² + 2x + kx + k = 0 , that is
kx² + (2 + k)x + k = 0 ← in standard form
with a = k, b = 2 + k and c = k , thus
(2 + k)² - 4k² = 0 ← expand and simplify left side
4 + 4k + k² - 4k² = 0
- 3k² + 4k + 4 = 0 ( multiply through by - 1 )
3k² - 4k - 4 = 0 ← in standard form
(3k + 2)(k - 2) = 0 ← in factored form
Equate each factor to zero and solve for k
3k + 2 = 0 ⇒ 3k = - 2 ⇒ k = -
k - 2 = 0 ⇒ k = 2
perimeter = 2width + 2 length
102 = 2(x+9) + 2x
102 = 2x + 18 +2x
102 = 4x +18
84 = 4x
21 = x
Length = x = 21 inches
Width = x + 9 = 21 + 9 = 30 inches
Answer: The National Center for Education Statistics (NCES) collects, analyzes and makes available data related to education in the U.S. and other nations. Hope this helped
Step-by-step explanation: how are you?
Given:
The value is 
.
To find:
The values from the given options which are equal to the given value.
Solution:
We have,
It can be written as:
From the standard trigonometric table, we get
From the above values it is clear that the value of 
and 
are equal to 
.
Therefore, and and equal to . So, options B and C are correct.
Answer:
The number of rare coins a coin collector owns is considered discrete data.
