Answer:
x=1
Step-by-step explanation:
Simplify:
24x-12=12
add 12 on both sides:
24x=24
divide both sides by 24
x=1
Hope this helps!
Answer:
x =2, x = 4
Step-by-step explanation:
x^2 - 6x + 8 = 0
(x - 2)(x - 4) = 0
x - 2 = 0; x = 2
x - 4 = 0; x = 4
<em>Answer: i=9</em>
<em />
<em>Step-by-step explanation:</em>
<em>-16=-4(-5+i)</em>
<em>-16=20-4i</em>
<em>-20 -20</em>
<em>-36=-4i</em>
<em>Divide by -4 </em>
<em>i=9</em>
Answer:
His age is 7 years.
Step-by-step explanation:
Let Rehman's present age be x years.
1 / (x - 3) + 1 /(x + 5) = 1/3
Multiply through by the LCD 3(x - 3)(x + 5):
3(x + 5) + 3(x - 3) = (x + 5)(x - 3)
3x + 15 + 3x - 9 = x^2 + 2x - 15
x^2 + 2x - 6x - 30 + 9 = 0
x^2 - 4x - 21 = 0
(x - 7)(x + 3) = 0
x = 7 (answer).
To solve this problem, let us first assign variables. Let
us say that:
A = runner
B = cyclist
d = distance
v = velocity
time = t
The time in which the cyclist overtakes the runner is the
time wherein the distance of the two is the same, that is:
dA = dB
We know that the formula for calculating distance is:
d = v t
therefore,
vA tA = vB tB
Further, we know that tA = tB + 2, therefore:
vA (tB + 2) = vB tB
4 (tB + 2) = 14 tB
4 tB + 8 = 14 tB
10 tB = 8
tB = 0.8 hours = 48 min
Therefore the cyclist overtakes the runner after 0.8
hours or 48 minutes.
