Identify the center and radius of the circle with the following equation: 〖(x+3)〗^2+〖(y-1)〗^2=81
1 answer:
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Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
Answer:
(-2, 4, -2)
x=-2, y=4, z=-2.
Step-by-step explanation:
So we have the three equations:
And we want to find the value of each variable.
To solve this system, first look at it and consider what you should try to do.
So we can see that the second and third equations both have an x.
Therefore, we can isolate the variables for the second and third equation and then substitute them into the first equation to make the first equation all xs.
Therefore, let's first isolate the variable in the second and third equation.
Second Equation:
First, divide everything by -2 to simplify things:
Subtract x from both sides. The xs on the left cancel:
Now, divide everything by -2 to isolate the z:
So we've isolated the z variable. Now, do the same to the y variable in the third equation:
Subtract x from both sides:
Divide both sides by 2:
Now that we've isolated the y and z variables, plug them back into the first equation. Therefore:
Distribute the third term. The -2s cancel out:
Since there is still a fraction, multiply everything by 2 to remove it:
Distribute:
Combine like terms:
Add 2 to both sides:
Divide both sides by 7:
Therefore, x is -2.
Now, plug this back into the second and third simplified equations to get the other values.
Second equation:
Third equation:
Therefore, the solution is (-2, 4, -2)