Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.

Step-by-step explanation:

Given the equation of the circle:

We wish to express it in a Standard form:

We begin by re-arranging:

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

Next, we factorize

This is the standard form.

2 x t divided by n

step-by-step explanation:

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.