Answer:
1 and - 1
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope ( gradient ) )
y = x ← is in this form
with gradient m = 1
Parallel lines have equal gradients
Then the gradients of lines parallel to the given line is 1
Given a line with gradient m then the gradient of a line perpendicular to it is
= - 
= - 
= - 1
Then the gradients of lines perpendicular to this line is - 1
Answer: 
Step-by-step explanation:
The average speed of the car is 40 miles per hour:
The car drives for 45 minutes:
Since 1 hours has 60 minutes, we can convert the time from minutes to hours:
Knowing these values, we can use the following formula for calculate the distace "d":
Therefore, substituting values into the formula, we get:
= 21
First, simplify
to
/ Your problem should look like:
= 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k =
Fourth, simplify
to
/ Your problem should look like: k =
Fifth, simplify
to 24. / Your problem should look like: k = -24
Answer:
k = -24
Answer:
g[f(n)] = -8n+3
Step-by-step explanation:
Given,
g(n) = 2n + 5 , f(n) = -4n-1
Find g(f(n)),
Solutions,
g[f(n)] = g[-4n-1]
= 2(-4n-1) + 5
= -8n–2+5
g[f(n)] = -8n+3
Final Answer = g[f(n)] = -8n+3.
