Suppose we have a generic equation of the form:
1) The first thing you must do to complete squares is to group similar terms of the form:
2) The second step is to complete the squares.
3) The third step is factor the quadratic equation
4) The fourth step is to identify the center and the radius
Answer:
the first step in finding the center of the circle by completing the square is:
C group like terms
Answer:

Step-by-step explanation:
Let
represent the amount of money he initially started with.
After he spent 20% on books, he will have
of his initial money left. We can represent this as
.
Following that, the boy spends 20% of the remainder of his money on food. Similarly, he will have
of the remainder of money he had left after he purchased the books. Therefore, he ends up with
of his money left.
Since we're given that he had $2,000 after all these transactions, we have the following equation:

Divide both sides by 0.64 to isolate and solve for
:

Therefore, the boy had $3,125 to begin with.
2z−31=−9z+24
Add 9z to both sides.
2z−31+9z=−9z+24+9z
11z−31=24
Add 31 to both sides.
11z−31+31=24+31
11z=55
Divide both sides by 11.
11z/11=55/11
z=5
Answer:
I'm not first, but thanks for the points! Have a nice day! :D
Step-by-step explanation:
Answer:



Step-by-step explanation:
Given
Sample Space = 10 to 99
First, we calculate the sample size (n)


Solving (a): P(32)
In 10 to 99, there is only 1 32.
So,


Solving (b): P(Odd)
There are 45 odd numbers between 10 and 99
i.e.

So:



Solving (c): P(Multiple of 5)
There are 18 multiples of 5 between 10 and 99
i.e

