the equation of the line is y= x-4
Step-by-step explanation:
so so the first thing that you're going to do is get y alone
-x-5=y
next you're going to find your slope which in this case is negative one.
after that in order to find the equation of a parallel line you're going to find the reciprocal of the slope.
so in this case the reciprocal is one.
next you're going to substitute in the cordinates to find the y intercept
x+b=y. (-1)+b= -5. (. b is the y intercept)
b= -4
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
$91,200
Step-by-step explanation:
I gave it my best shot sorry if it wrong