Answer:
y = -5x Y8
Step-by-step explanation:
Parallel lines have the same slope.
Your function is
y = 9 − 5x = -5x+ 9
slope = -5
The parallel line
The line must have slope = -5 and include (0, 8), so
8 = -5×(0) + b
8 = 0 + b
b = 8
The equation for the parallel line is
y = -5x + 8
In the diagram below, the red line is the graph of y = 9 -5x.
The parallel blue line is the graph of y = -5x + 8.
Girls: 81
boys: 75
4x +6 = 156
4x = 150
x = 37.5
2x = 75
girls: 75 + 6
boys: x
A common tangent is a line that happens to be tangent ("touching but not intersecting a curve or curved surface") to two different coplanar ("in the same plane) circles. I do hope that helped you.
Equation to find number's value: 
Number's value: n = 35
Explanation:
Let n be the unknown number for this problem.
One fifth of a number is the same as
.
Three times the number is the same as 3n.
Twice the number plus 42 is the same as 2n + 42.
So, using the information we've gathered so far, we can create the equation that will provide us with n's value.
Equation: 
We can use this equation to find n's value.
You can subtract 2n from both sides to get the equation
, which is the same thing as the equation we were using.
Now add n and
together to get
.
After you do this, your equation should look like
.
Now divide both sides by
to get n's value.
n = 35