Answer:
The answer is 12 degrees.
Step-by-step explanation:
I have too long of an explanation, so I'm sorry, but I won't do it
The answer is -4. Hope this helps!!
Answer:
p = x² − 6x + 10
Step-by-step explanation:
Complex roots come in conjugate pairs. So if 3−i is a root, then 3+i is also a root.
p = (x − (3−i)) (x − (3+i))
p = x² − (3+i)x − (3−i)x + (3−i)(3+i)
p = x² − 3x − ix − 3x + ix + (9 − i²)
p = x² − 6x + 10
You can check your answer using the quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ 6 ± √(36 − 40) ] / 2
x = (6 ± 2i) / 2
x = 3 ± i
Hey! :)
So when we write something in slope intercept form, all we're doing is solving for y. So let's do that with this equation!
-2x + y = 9
add 2x to both sides
y = 2x + 9
So C is your answer.
Please let me know if you need anything further explained!
Answer:
x = 1
y = -4
Step-by-step explanation:
You can use 2 methods to solve this, substitution or elimination.
Elimination:
You want to try and get rid of one variable in the pair of equations.
We add them together since y and -y cancel each other out when added.
Now, we have a much simpler equation.
4x - y = 8
+ 6x + y = 2
------------------
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
(4 x 1) - y = 8
4 - y = 8
y = -4
Substitution:
You can also try and change the equation so that there is only one variable by setting the other equation equal to a variable.
This one is easier to do:
6x + y = 2
y = -6x + 2
Now, plug it into the first equation replacing y, since they are equal, and solve:
4x - y = 8
4x - (-6x + 2) = 8
4x + 6x - 2 = 8
10x = 10
x = 1
Now, you can just plug it back in to one of the equations to get y.
6x + y = 2
(6 x 1) + y = 2
6 + y = 2
y = -4
:)
