Answer:
(A) y+4=-3(x+6)
Step-by-step explanation:
The point-slope form of the equation of a line whose slope is m and passes through the point 
is: 
Given the point: 
Slope, m=-3
Substituting these values into: , we obtain the point slope form of the equation:
The correct option is A.
Answer:
y = - 
x + 10
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mc + c ( m is the slope and c the y- intercept )
Here m = - and crosses the y- axis at (0, 10 ) ⇒ c = 10
y = - x + 10 ← equation of line
Let the slower runners speed be X kilometers per hour.
Then the faster runners speed would be X+2 kilometers per hour.
The formula for distance is Speed times time.
The distance is given as 30 kilometers and time is given as 3 hours.
Since there are two runners you need to add the both of them together.
The equation becomes 30 = 3x + 3(x+2)
Now solve for x:
30 = 3x + 3(x+2)
Simplify:
30 = 3x + 3x +6
30 = 6x + 6
Subtract 6 from each side:
24 = 6x
Divide both sides by 6:
x = 24/6
x = 4
The slower runner ran at 4 kilometers per hour.
The faster runner ran at 4+2 = 6 kilometers per hour.
Answer:
t=(v-u)/a
Step-by-step explanation:
The equation we start with is v=u+at and we need to isolate t.
First subtract u from both sides
v-u=at
Now just divide both sides by a
(v-u)/a=t or t=(v-u)/a
The distance between (5, 2) and (2,-2) is 5 units
