For this case we have that if Molly spent all the spool ribbon with 12 people, then "r" would be given by the product of 12 for the amount of ribbon that each person received, that is:
Thus, the spool initially had 36 feet of ribbon.
If Molly also keeps 3 feet of ribbon, then the value of "r" is given by:
In this case, the ribbon spool initially had 39 feet of ribbon.
Answer:
shared between 12 people
shared between 12 people and Molly
Ok so remember
if a+bi is a root, then a-bi is also a root
since 2i is a root, -2i is also a root
use synthetic division and the fact that when we divide by 2i and -2i, we have to get all real coeficients and end witha zero at the end
I will show the division in the attachment
we find m=8
we then find th resulting equation that is x^2-2x+2=0
quadratic formula
x=
x=1+i or 1-i
m=8 and the other roots are
x=-2i, 1+i, 1-i
The slope of a line is defined as rise by run i.e. how much y value changes with respect to the change in x value. So the slope gives the steepness of the line.
Slope 0 indicates there is no change in y when the x value is changed and so the line with slope 0 is a horizontal line. A line with slope 1 shows with 1 unit change in x, y changes by 1 unit. Likewise slope equal 2 indicates with 1 unit change in x, y changes by 2 units.
We can see as the absolute value of slope is increasing, the change in y with respect to x is increasing i.e. the line is becoming more tilted or steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute value of the slope gets bigger.
C is the correct answer.
Due to the cause it would end up being the second option
2 angles opposite from each other are vertical angles.
Vertical angles are equal to each other.
Since Y is opposite the given angle of 163 degrees, Y = 163.
