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
We write this like this:
49=35%x
and we want to find the x.
let's invert the sides:
35%x=49.
35 is equal to 0.35
0.35*x=49
and now we only divide both sides by 0.35:
x=140
so the answer is 140.
(aternatively we can do it through fractions:
35/100*x=49
divide both sides by 7:
5/100*x=7
simplify the first fraction
1/20*x=7
and multiply by 20:
x=140
GF = GH
<F = <H
<E=<G
or
<EGF = <HGJ
answer
<span>e) AAS
</span><span>d) ASA</span>
Since all sides of a cube are equal...,
Let one side length of a cube be (z)
;Volume = z × z × z
;Volume = z^3
; 27 = z^3....where we then say that..,
; z(side length) = cube root of (27)
; Hence..., Side Length = 3 yards
Answer:
$870
Step-by-step explanation:
To figure out how much the final value here is, use the formula A = P(1 + rt). (A = total accured amount, P = principal, r = rate (%), t = time (years))
A = 600 * (1 + (10 * 9/200)) (multiply 10 by 9 and put that over 200)
A = 600 * (1 + (90/200)) (90/200 simplifies to 9/20)
A = 600 * (1 + (9/20)) (add 1 (20/20) to 9/20 to get 29/20)
A = 600 * 29/20 (Multiply 600 by 29 and put that over 20)
A = 17400/20 (Divide 17400 by 20 to get 870)
A = 870
$870 is the final value.
