Step-by-step explanation:
Find the Center and Radius (x-4)^2+y^2=4
(
x
−
4
)
2
+
y
2
=
4
This is the form of a circle. Use this form to determine the center and radius of the circle.
(
x
−
h
)
2
+
(
y
−
k
)
2
=
r
2
Match the values in this circle to those of the standard form. The variable
r
represents the radius of the circle,
h
represents the x-offset from the origin, and
k
represents the y-offset from origin.
r
=
2
h
=
4
k
=
0
The center of the circle is found at
(
h
,
k
)
.
Center:
(
4
Answer:
Step-by-step explanation:
The slope of the line in question is the same as the slope of the line parallel to it. Using y = mx + b, where m is the slope, we find the slope of our line is -3.
Using the pt-slope form, y - y1 = m( x - x1), we get y - (-1) = -3( x - 2) or y + 1 = -3x + 6. Which leads us to y = -3x + 5. QED
To solve the problem, what you must do is a system of two equations with two Ingonites that describe the problem.
Let:
x = number of shirt buttons.
y = number of buttons on jackets.
Writing the system:
36x + 42y = 842
6x + 7y = 137
We observe that the system is linearly dependent, therefore, it can not be solved.
However, the solution is to solve the system of two equations with two unknowns.
In order to solve it, the system must be linearly independent.
Answer:
0.25
Step-by-step explanation:
