9514 1404 393
Answer:
-5/4 +i(√2)/4 and -5/4 -i(√2)/4
Step-by-step explanation:
I find simplest form to be easier to get to if the leading coefficient is 1. Dividing by 16, we have ...
x^2 +5/2x +27/16 = 0
Completing the square by adding and subtracting the square of half the x-coefficient, we get ...
(x^2 +5/2x +25/16) +27/16 -25/16 = 0
(x +5/4)^2 = 2/16
Subtracting 2/16, taking the square root, and subtracting 5/4 gives ...
x +5/4 = ±√(-2/16)
x = -5/4 ±i(√2)/4
The roots are -5/4 +i(√2)/4 and -5/4 -i(√2)/4.
Explanation: The y axis is the line that goes up and down, vertical. The x axis is the line that goes straight across, horizontal. So, when looking for intercepts we have to see what numbers your graphed line goes through.
Make sure when you are writing your points you write it in (x,y) form. If you don't it will be wrong.
So, for our x intercept it would be -7,0.
This is because your graphed line goes through x at -7 and it has no y, so that would be 0.
For your y intercept, it would be 0,2
This is because our line does not go through x, so we make that 0. It does go through y at 2.
Hope this helps :)
If you need elaboration on anything let me know. I know sometimes with math it is kind of hard to explain through typing.
Answer:
6k(5f+3)
Step-by-step explanation:
18k+30fk
Factor out 6.
6(3k+5fk)
Consider 3k+5fk. Factor out k.
k(3+5f)
Rewrite the complete factored expression.
6k(5f+3)
Answer:
Step-by-step explanation:
That is not a parallelogram. It has more than four sides.
Area of the white part of the figure is 4×20 = 80 m²
If you expand the figure to include the white part, its area is 9×23 = 207 m².
Green area = 207-80 = 127 m²
83 hope it helps get a good grade
