Answer: + =
Step-by-step explanation:
The standard form of equation of a circle is written in the form:
+ =
where a and b are the coordinates of the center and r is the radius.
All we need to do is to covert the given equation into this form, how do we do that?
We will achieve this by using the completing method of solving quadratic equation.
Firstly re - write the equation , that is
- 6x + -4y = 12
The next thing is to Complete the square for each of x and y
How do we do this ?
i. multiply the coefficient of x and y by 1/2
ii. square the results
iii. Add the result to both sides of the equation , that is
- 6x + - 4y + = 12 ++
The next thing is to write the Left hand side of the equation as a perfect square binomial and simplify the Right hand side. That is
+ = 25 , that is
+ =
Which is now in standard form of the equation of a circle.
Answer:
$15700
Step-by-step explanation:
To find the cost, you multiply $50 by the area of the floor. The floor must be a circle ("radius"), so to find the area of a circle, use the formula
Multiply 314 sq. ft. by the cost per sq. ft.
314 x 50 = 15700
Answer:
y=35
x=27.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
x/4.8 < 1.25 Multiply both sides by 4.8
4.8 x / 4.8 < 1.25*4/8
x < 6
What this means is that every every number less than 6 is a solution to this inequality.
Graph 32 (shown below is a red area. The important thing to note is that the boundary at 6 is dotted which means it is not included in the solution.
What you want is more closely related to a number line and sort of looks like this
-----o-----o-----o-----o-----o-----o-----o-----o
-1 0 1 2 3 4 5 6
<===============================o
Explanation
The top line is the actual number line or the graph
o------- is the way it is made.
The second line are the number divisions of the number line
The third line shows which way the inequality goes and that it is open at 6. Open means that you can get close to 6 but you can't touch 6.