The steps needed to solve the given equation is required.
Adding the opposite value of the constant to both sides.
Divide both sides by the coefficient of the variable.
The solution to the equation is
The given equation is
In order to solve this we first move constants to the side opposite of the variable.
This is done by adding the opposite value of the constant to both sides.
Here is the constant so we add to both sides.
Now, we divide both sides by the coefficient of the variable.
The solution to the equation is
Answer:
and

Step-by-step explanation:
The standard equation of a circle is
where the coordinate (h,k) is the center of the circle.
Second Problem:
- We can start with the second problem which uses this info very easily.
- (h,k) in this problem is (-2,15) simply plug these into the equation.
. - We can also add the radius 3 and square it so it becomes 9. The equation.
- This simplifies to
.
First Problem:
- The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.
first subtract 37 from both sides so the equation is now
.
by adding
to both the x and y portions of this equation you can complete the squares.
and
which equals 49 and 4.- Add 49 and 4 to both sides and the equation is now:
You can simplify the y and x portions of the equations into the perfect squares or factored form
and
. - Finally put the whole thing together.
.
I hope this helps!
Answer:
The radius of the sphere is 9.6 cm
Step-by-step explanation:
Given:
The volume of the sphere =
To Find:
The radius of the sphere = ?
Solution:
We know that the volume of the sphere is

where
r is the radius
Now we have the volume of the sphere
so







r = 9.6
Answer:
676,131
Step-by-step explanation:
L.C.M of 75,125 and 225,
=>676,125
Leaves a remainder 6 means,
=>676,125 + 6
=>676,131
That means,
When you divide 676,131 by 75,125 or 225,
You get remainder 6 .
That is why we add 6 to the L.C.M