Answer:
The solutions are -0.65 and 4.65.
Step-by-step explanation:
3x^2 - 12x = 9
Divide both sides by 3
x^2 - 4x = 3
To make a square with "x^2 - 4x", you need to have a "+ 4" after it so it can be simplified as (x-2)^2. So add 4 to both sides.
x^2 - 4x + 4 = 7
(x-2)^2 = 7
x - 2 = (square root) of 7
x = 2 (+/-) (square root) of 7.
x = {-0.65, 4.65}
The solutions are -0.65 and 4.65.
hope this helps:)sorry if it doesnt
Answer:
600 volts
Step-by-step explanation:
Given =
A = 12 ampere
V = 480 volts
A2 = 15 ampere
Solution =
R = V/I
= 480 / 12
= 40 ohms
R = V / I
V = R x I
= 40 x 15
= 600 volts
Answer:
all answers below
Step-by-step explanation:
(i) 2704 = 2^4 x 13^2
(ii) as both indices (the powers) are divisible by 2, it is a perfect square.
(iii) as both indices are not divisible by 3, it is not a perfect square.
For part (a), you have


If

, then

.
If

, then

.
So,

For part (b), since the degrees of the numerator and denominator are the same, you first need to find the quotient and remainder upon division.

In the remainder term, the denominator

can't be factorized into linear components with real coefficients, since the discriminant is negative

. However, you can still factorized over the complex numbers, so a partial fraction decomposition in terms of complexes does exist.



Then you have


When

, you have



When

, you have



So, you could write

but that may or may not be considered acceptable by that webpage.