For this case we must find the slope of the following equation:
By definition, the point-slope equation of a line is given by:
Where:
: It is a point through which the line passes
m: It's the slope
So, the slope of the given equation is:
Answer:
Option D
A horizontal translation is expressed by transforming
If 
is positive, the function is translated to the left. If is negative, the function is translated to the right.
So, a 3-units left shift is given by 
. So you have
Answer:
x = 12
z = 101
Step-by-step explanation:
Hello There!
First lets find z
Well the angle that has a measure of 79 degrees and angle z are supplementary angles meaning that the sum of the two is 180
So we can find the missing angle by subtract the given angle (79 in this case) from 180
180 - 79 = 101 so z = 101
Now lets find x
The angle that has a measure of 79 degrees and the angle labeled (6x+7) are vertical angles
If you didn't know vertical angles are congruent
That being said lets create an equation to solve for x
79 = 6x + 7
now we solve for x
step 1 subtract 7 from each side by
7 - 7 cancels out
79 - 7 = 72
now we have 72 = 6x
step 2 divide each side by 6
72/6=12
6x/6=x
we're left with x = 12
Expression that represents the change from $20 after the purchase of an item that costs d dollars is:
20-d
Answer:
About 23 minutes.
Step-by-step explanation:
8 miles is approximately 12.9 kilometers, so you would need to do the equation 12.9/1 = 5/x, which gives you the percentage of an hour you need, and then convert that to minutes by multiplying by 60.
