Answer: show A had 8394 performances.
Show B had 6010 performances.
Step-by-step explanation:
Let x represent the number of performances of show A.
Let y represent the number of performances of show B.
As of a certain date, there had been a total of 14,404 performances of two shows on Broadway. This means that
x + y = 14404 - - - - - - - - - -1
There was 2384 more performances of Show A than Show B. It means that
x = y + 2384
Substituting x = y + 2384 into equation 1, it becomes
y + 2384 + y = 14404
2y = 14404 - 2384
2y = 12020
y = 12020/2
y = 6010
x = y + 2384 = 6010 + 2384
x = 8394
Answer:
and
Step-by-step explanation:
Given a polynomial with rational coefficients, its irrational and complex roots would occur in conjugate pairs.
For example, if the roots of a polynomial are 2 + , 3 and 4 - 3i, then 2 - , and 4 + 3i are also roots of the polynomial.
Therefore, since the given polynomial has rational coefficients and some of its roots are , and - , then - and are also roots of the polynomial.
Answer:
y=-6x+33
Step-by-step explanation:
Perpendicular lines meet the following condition:
m1*m2=-1
From the first line equation, we obtain m1 if we write the given equation in a proper manner. 6y=x-12 becomes y=x/6 -12,
m1=1/6 since is the coefficient of 'x' variable.
Now, to obtain 'm2' we use the condition for perpendicular lines
(1/6)*m2=-1
m2=-6
Thus, our new line have an equation like the following y=mx+b, where m=-6
Now, we need to eval the given point (6,-3) in the equation in from above to obtain the value of 'b'
-3= -6*(6) + b
Leading us to, b=33
A scale factor of 2 means the dimensions are multiplied by 2.
15 x 2 = 30
8 x 2 = 16