Let, the length be l and breadth be b.
So, 2(l + b) = 26
Or, l + b = 13
Or, l = 13 - b
So, we may write like this,
Area = l * b
Or, l * b > 30
Or, l (13 - l) > 30
Or, 13l - l^2 > 30
Or, l^2 - 13l + 30 > 0
Or, l^2 - 3l - 10l + 30 > 0
Or, l(l - 3) - 10(l - 3) > 0
Or, (l - 3)(l - 7) > 0
Or, l - 7 > 0
Or, l > 7.
Now, putting the value of l,
We get, l * b > 30
Or, 7 * b > 30
Or, b > 30/7
➡️ Therefore, we get,
Length > 7
Breadth > 30/7
That's it..
Replace f(x) with 0 and swith the equation around to solve for x
x^4 - 32x^2 - 144 = 0
Factor the left side:
(x+6) (x-6) (x^2+4)
so far we have x+6 = 0, x = -6
x -6 = 0, x = 6
solve x^2 +4 = 0
x^2 = -4
x = sqrt(-4)
x = 2i, -21
The answer is B) 2i, 6, -6
Answer:
D or the last one.
Step-by-step explanation:
Honestly, you got me kinda confused. Is it saying that there is multiple equations to answer this? Well anyways, D would be the answer. When the variable (w) is beside the coefficient, it means you multiple them together. (W) standing for weeks multiplied by 12 which is how much you earn each week would get you the total amount. The rest just don't make sense.
The distance of a vehicle travel is 150 km, at a moving rate of 60 km/h for 150 minutes.
Step-by-step explanation:
The given is,
Moving rate, r = 60 km/h
Time, t = 150 minutes
Step:1
We need to find the distance traveled by the vehicle,
From given the formula is
D = rt
Where,
D = Distance in Km
r = Moving rate in Km/h
t = Time in hours
Step:2
We need to convert the time minutes to hours
t =
hours
t = 2.5 hours
Step:3
Distance traveled by the vehicle is,
D = 60 × 2.5
= 150
D = 150 Km
Result:
The distance traveled by the vehicle is 150 Km at a moving rate of 60 km/h for 150 minutes.