Which of the following is true about the expression square root of 3 times the square root of 12?

Step-by-step explanation:

The expression "square root of 3 times the square root of 12" is written symbolically as:

3√12

Remembering that 12 = 4·3, and that 4 is a perfect square and 3 is not, we get:

3√4·√3, or

3(2)·√3, or

6·√3.

This is the product of a rational number (6) and an irrational one (√3).  This product is irrational.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.