Answer: X=13/3
Step-by-step explanation:
1. Multiply Both sides by 12
8x-10=5x+3
2. Collect the like terms, calculate the sum
8x-5x=3+10
3.Divide both sides by 3
3x=13
Answer X=13/3
Alternative Form,
X= 4 1/3, X=4.3
Answer:height=20cm
Step-by-step explanation:
Length=100cm
Breadth=40cm
Volume=80 liters which is equal to 80000cm^3
volume=length x breadth x height
80000=100 x 40 x height
80000=4000 x height
Divide both sides by 4000
80000/4000=(4000xheight)/4000
20=height
Height=20cm
You would divide 1350 by 47 to find our how many strings of lights she would need.
1350 / 47 = 28.7234
note that IF you choose 28, you would run short because it would not be enough to cover all of that edge.
so you would need to round up to 29
therefore our answer would be D)29 strings of lights.
If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is

. Now we will multiply in that last factor of (x-4):

. FOILing out we have

. There you go!
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.