Find an equation of the sphere with center s23, 2, 5d and radius 4. what is the intersection of this sphere with the yz-plane?

Equation:

Intersection:

Step-by-step explanation:        

We are asked to write an equation of the sphere with center center and radius 4.    

We know that equation of a sphere with radius 'r' and center at is in form:

Since center of the given sphere is at point , so we will substitute , , and in above equation as:

Therefore, our required equation would be .

To find the intersection of our sphere with the yz-plane, we will substitute in our equation as:

Therefore, the intersection of the given sphere with the yz-plane would be .

2 is the final ! : )

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)