To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):
The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4
This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.
Answer:
35 possible combinations would be there.
Step-by-step explanation:
We have total of seven students we have to choose three out of those seven
n is the total possibilities n =7 in the given case
And r is the chosen ones
Hence, r=3 in the given case.
Substituting the values of n and r in the formula we get
Using n!=n(n-1)----1
Cancel the common factor we get
possible combinations would be there.
Answer:1/12
Step-by-step explanation:just divide 7/12 by 7 to get the per minute
Answer:
x + 6x+10 + x+2 = 180
x = 21
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
x + 6x+10 + x+2 = 180
Combine like terms
8x + 12 = 180
Subtract 12 from each side
8x+12-12 = 180-12
8x =168
Divide each side by 8
8x/8 = 168/8
x =21
Answer:
20%
Step-by-step explanation:
1.) 125-100/125 --> 25/125 --> .2 --> 20%
