Answer:
3a^4
Step-by-step explanation:
The cube root of an expression breaks the expression into a term which multiplies by itself twice to make the expression. For example, the ∛8 = 2 since 2*2*2 = 8. A cube root looks for factors which form a group of 3 to make the expression. Using this definition and example, find the cube root of 27a^12.
27 breaks into 3*3*3. So the cube root of 27 is 3.
a^12 breaks into (a^4)(a^4)(a^4). So the cube root is a^4.
Together the cube root of 27a^12 is 3a^4.
Answer:
22 x to the 4th power and y to the 3rd power
Step-by-step explanation:
Answer:

Step-by-step explanation:
Point B partitions AC in a 3:4 ratio.
B is located at (4,1) and C is located at (12,5).
Let
be the coordinates of A.
Then 
But m:n=3:4 implies m=3 and n=4 and 






Answer:
7.07
Step-by-step explanation:
<h2><u>Length</u></h2>
a square has equal length on each side
hence is the perimeter is 20 it means that :
each side is 20/4 = 5
we can make a diagonal line which create 3 right angled triangles
2 sides of the triangle are 5 , this is the base and the height
to find the length we can make use of the Pythagoras theorem
c^2 = a^2 + b^2
c is the hypotenuse ( the diagonal;)
a and b are the opposite and adjacent
hence :
c^2 = 5 ^2 + 5^2
c^2 = 50
c = 
c = 7.071
to 3sf
<h3><u>diagonal length = 7.07</u></h3>