Answer:
√3
Step-by-step explanation:
The given expression to be simplified is

but


Since √12=2√3,this implies that,

Therefore,



The simplified form of ,
is √3
Answer:
7/13
Step-by-step explanation:
Let's call x= numerator
We know that :
Denominator= x+6
And
(numerator +2)/(denominator +2) = 3/5
So
(x+2)/(x+6+2)=3/5
(x+2)/(x+8)=3/5
(x+2)*5=(x+8)*3
5x+10=3x+24
2x=14
x=7
In the end
Numerator= x =7
Denominator=x+6 = 13
So the original number is 7/13
I hope this helps, have a beautiful day
Answer:
18 units
Step-by-step explanation:
Hello, I can help you with this.
Step 1
identify
we have a equation, let's look it
A=6s2
The surface area A of a cube=6(area of a face)
area of face= side*side
so
Area=6*side*side
Step 2
isolate side from the equation

we are looking for a distance, so , we will use only the positive root
Step 3
replace the value of 1944 square units into the equation

so, the value x of a side of a cube with a total
the side of a cube is 18 units when the surface area of the cube shown is 1944 units2
Have a good day.
Yes you are correct. Nice work.
(h,k) = (10,-4) is the center; r = 2 is the radius
(x-h)^2 + (y-k)^2 = r^2
(x-10)^2 + (y-(-4))^2 = 2^2
<h3>(x-10)^2 + (y+4)^2 = 4</h3>
Let's explain this by using an example. Let's take the square root of 4.
sqrt(4)
You'd think the answer is 2, and you are correct, but the answer is also -2.
Remember that a square root means that the two numbers must be the same, and multiply back up to 4. In this case, the number is 2.
2•2=4
BUT
-2•-2 ALSO =4
therefore there are two square roots...
2 is a square root
AND
-2 is a square root.
This goes with all positive numbers!
I hope this helps! Best wishes :)