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
It would be = -3.81 * 10^-3
Answer:
473 yd^3
Step-by-step explanation:
The surface area of the square base is (11 yd)^2, or 121 yd^2.
The surface area of one of the slanting sides of the pyramid is
A = (1/2)(b)(h), which comes to A = (1/2)(11 yd)(16 yd) = 88 yd^2.
Thus, four such sides have a combined surface area of 352 yd^2.
Combining the surface areas of the slanting sides with the base area yields 473 yd^3
Answer:
I think its $6894.21
Step-by-step explanation:
compound interest formula: A= P(1+ r/n)^nt
A= 5000(1+ 0.055/1)^1(6)
A= 6894.21403
A= $6894.21
Answer:
<em>m</em> ≤ 35
Step-by-step explanation:
The variable "m" is no greater than 35.
Note that "no greater" means that it can be up to the certain number (in this case, 35), but cannot exceed it. Your answer will be:
<em>m</em> is less than or equal to 35, or <em>m</em> ≤ 35.
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