The equation of a circle is (x - 3)^2 + (y - 1)^2 = 64. Find the equation of the circle after it is shifted 2 units to the right and 4 units up. * 2 points

(x-5)²+(y-5)²=64.

Step-by-step explanation:

When it comes to shifting, we simply need to change the vertex of the equation. Remember that the formula for a circle is:

(x-h)²+(y-k)²=r² (h,k) being the vertex.

In this case, h=3 and k=1. We are also shifting 2 units to the right, meaning we need to subtract 2 from the 'h' value. A shift of 4 units up means we have to subtract 4 from the 'k' value.

Our new equation is:

(x-5)²+(y-5)²=64.

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

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step-by-step explanation: