ANSWER
EXPLANATION
The area of a rectangular art studio is given by the quadratic trinomial:
By comparing this to:
ax²+bx+c
We have a=12, b=5, and c=-2
ac=12*-2=-24
The factors of -24 that gives a sum of 5 are 8,-5
We split the middle term with these factors to get:
Factor by grouping,
The possible dimensions are:
Let w = cos(x)
The given equation turns into -5w^2 + 4w + 1 = 0. Use the quadratic formula to find that the two solutions, in terms of w, are:
The solution w = 1 leads to cos(x) = 1 which then becomes x = 0, x = 2pi, x = 4pi, etc. The general way to write this is x = 2pi*n where n is any integer. These angles are in radian mode.
The solution w = -0.2 leads to cos(x) = -0.2 which becomes x = arccos(-0.2) = 1.77215 approximately assuming your teacher wants the angle in radian mode. Unfortunately, I don't know the exact value of x here. There may not be an exact value, or finding this exact value may be well beyond the scope of this course.
Answer:
Hey there!
We can write this equation, where x is the hourly rate and y is the fixed fee.
4x+y=270
7x+y=420
4x+y=270
-7x-y=-420
-3x=-150
x=50
4(50)+y=270
200+y=270
y=70.
The fixed fee is G. $70.
Let me know if this helps :)
Answer:2
Step-by-step explanation:
