We have a line y = 1/3x -6
We want a line that is perpendicular to this line
Perpendicular lines have slopes that multiply to -1
1/3 * m = -1
3 * 1/3 *m = -1 * 3
m = -3
The slope of the perpendicular line is -3
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
We have a point on the line ( 7 ,-23)
Substitute this point into the equation
-23 = -3(7)+b
-23 = -21+b
Add 21 to each side
-23+21 = -21+21+b
-2 = b
y = -3x-2
In slope intercept form, the line perpendicular passing through (7,-23) is
y = -3x-2
Answer:
120 ft
Step-by-step explanation:
The distance the gravel covers is the total distance times the percentage that the gravel covers
We know the gravel covers 66 ft and the percentage is 55%
distance gravel = total distance * percentage
66 = total distance * 55%
66 = total distance *.55
Divide each side by .55
66/.55 = total distance *.55/.55
120 = total distance
Answer:
<h2>
0</h2>
Step-by-step explanation:
Given,

Now, let's find the value of 9x + 6

plug the value of X

Multiplying a positive and negative equals a negative


Reduce the number with Greatest Common Factor 3

Multiply the numbers

The sum of two opposites equals 0

Hope this helps..
best regards!!
Answer:
dependent, 39/155
Step-by-step explanation:
Since the checkers are not replaced, the events are dependent since the number of checkers in the bag when you pick the second time depends on the first pick.
31 checkers—13 red and 18 black.
P(red) = red/ total
= 13/31
Keep the checker
Then 30 checkers—12 red and 18 black.
P(black) = black/ total
= 18/30 = 3/5
P ( red, keep,black) = 13/31 *3/5
39/155
Gravity pulls at 32 feet per second so it would take .75sec to hit the ground now make an equation that can make this applicable so after .75 second T it would be at 0 feet H