Y+38°= 180 beacuse if a and b are parallel they are
co interior angles. This means that they will at to 180.
y=180-38= 142°
Answer: 142°
Drew out some hopefully helpful pictures below. Hope they help! let me know if you still have any questions!
Answer:
The student assumed he was asked to factor
(a^2 - b^2)
Which is equal to
= (a+b)*(a-b) (His response)
But, he was asked to simplify
(a^2 + b^2)
Which has imaginary roots, and can be factored as:
(b +ai)(b-ai)
Answer:
Explanation:
Combining the fractions, we have:
Answer:
Step-by-step explanation:
I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way. I noticed right off that at x = -3 and x = -1 the y values were the same. In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4). That's the h and k in the formula I'm going to use. Then I picked a point from the table to use as my x and y in the formula I'm going to use. I chose (0, 3) because it's easy. The formula for a quadratic is
and I have everything I need to solve for a. Filling in my h, k, x, and y:
and
and
-1 = 4a so
In work/vertex form the equation for the quadratic is
In standard form it's:
