Write the equation in standard form of the circle whose center is at (0, 0) and that is tangent to x + y = 6

Step-by-step explanation:

The standard equation of a circumference has the following formula.

Where the point (h, k) is the center of the circle and r is the radius.

If in this case we know that the circle has center at point (0,0), then its equation will have the following form

The radius of the circumference will be the distance from the center of the circumference to the point where the circumference is tangent to the line

The radio is:

In this case, the line is

And the center of the circumference is (0, 0)

So

The radio is:

Finally the equation of the circumference is:

answer: a.   one is a factor of every whole number since every number is divisible by itself.

rick has $1400 and sally has $1500

step-by-step explanation:

to find amount of money rick has after 10 years :

principal = $1000 , time = 10 years , rate = 4% annually

to find amount of money sally has after 10 years :

her friend gives to pay her $50 per year, therefore money she has after 10 years = 50 × 10 = $500

also, sally gets $1000 after 10 years,

therefore, total amount of money sally has after 10 years = 500 + 1000 = $1500

so, after 10 years : rick has $1400 and sally has $1500