Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2
Answer:
10
Step-by-step explanation:
We will use trigonometry to solve this problem.
We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.
Now we solve.
sin45 = x/14
sin45 * 14 = x
x = 9.899494936611665
Answer:
Step-by-step explanation:
BC/220=sin 60
BC=220 sin 60=220×√3/2=110√3≈190.5 ft
Answer:
3×x-2=2
x=3×2+2
x=6+2
x=8
so x = 8
Step-by-step explanation:
hope it help you
We know that AXB + CYD and AXB + FZE = 90
20 + CYD = 90 and 20 + FZE = 90
We can see that CYD and FZE are equal so we can use one equation
Let's use 20 + CYD = 90
CYD = 70 and FZE is also equal to 70 because CYD and FZE are equal.
so 70 + 70 = 140 degree