Answer:
C
Step-by-step explanation:
A major arc is an arc that is greater than 180 degrees.
A minor arc is an arc less than 180 degrees.
An acute angle is an angle less than 90 degrees.
A central angle is the angle created in the center of a circle with 2 sides being the radius.
<em>Thus, we can see in the figure that we are talking about the angle so we can eliminate major arc and minor arc.</em>
<em>Now, we clearly see that the angle is greater than 90 degree so it cannot be acute angle.</em>
<em />
The correct answer is central angle as it goes with the definition.
x^2 + y^2 - 6x - 4y - 12 = 0
x^2 - 6x + y^2 - 4y = 12
x^2 - 6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y - 2)^2 = 25
Answer:
(6,0)
Step-by-step explanation:
Since this is multiple choice ...
• check if B is correct:
x = 0, y = 4, z = 1 ⇒ 3x - y + 4z = -4 + 4 = 0 ≠ -10
(it's not)
• check if C is correct:
x = -2, y = 4, z = 0
⇒ 3x - y + 4z = -6 - 4 + 0 = -10
⇒ 3x - y + 4z = 2 + 4 + 0 = 6
⇒ 3x - y + 4z = -4 - 4 + 0 = -8
While this solution does satisfy the system, it can still have infinitely many other solutions that would work.
• check if D is correct:
Eliminate one of the variables from each equation. For instance,
(3x - y + 4z) + (-x + y + 2z) = -10 + 6
2x + 6z = -4
x + 3z = -2
and
(2x - y + z) + (-x + y + 2z) = -8 + 6
x + 3z = -2
but now it's impossible to eliminate one of the variables.
Therefore there are infinitely many solutions to the system [D].
Answer: (6,-4)
X= 6 Y= -4
Step-by-step Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
