Answer:
Step-by-step explanation:
To find an equation of the sphere with center (4, −12, 8) and radius 10

intersection with xy-plane
Put z=0


(A circle with centre at (4,-12) and radius 6)
intersection with xz-plane
Put y =0


Sum of squares cannot be positive, so DNE
intersection with yz-plane
Put x=0


A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84
Step-by-step explanation:
The change in y-coordinate is -2 - (-5) = 3.
However, the change in x-coordinate is 0.
When the change in x-coordinate is 0, the graph is a vertical line.
Therefore the equation of the line is x = 0.
7 apples cost $1.75, hence The cost of each apple is $0.25.
<h3>Equation</h3>
An equation is an expression that is used to show the relationship between two or more variables and numbers.
Let x represent the cost of each apple. Let us assume that 7 apples cost $1.75, the equation can be represented by:
The cost of each apple is $0.25.
Find out more on equation at: brainly.com/question/13763238
Answer:

Step-by-step explanation:
The distributive law states that

The expression 3+21a+15b consists of three terms:
- 3=3·1;
- 21a=3·7a;
- 15b=3·5b.
You can see that 3 is the common factor of these three terms, thus

Hey there!
If you can paint a room that is 306 square feet with $72, you can divide $72 by 306 to see how much paint costs per square foot.
72 / 306 = about $0.24 per square foot
If you want, you can use the entire decimal of 0.23529412, but often times it doesn't matter which you use since you'll likely be rounding (especially with money problems) anyways.
So, multiply $0.24 by your new room size, 459 square feet, to get how much it will cost. It will cost $110.16 to paint this room.
Hope this helped you out! :-)