Given 5 straight lines and 4 triangles in a plane. What is the maximum number of times that these lines
1 answer:
You might be interested in
Answer:
No solution
Step-by-step explanation:
Step 1: Write out equations
y = -1/4x + 2
3y = -3/4x - 6
Step 2: Substitution
3(-1/4x + 2) = -3/4x - 6
Step 3: Distribute
-3/4x + 6 = -3/4x - 6
From here, we can see that we have the same slope but different y-intercept. This means that the 2 lines are parallel and therefore never intersect.
Alternatively, you could graph the equations and see that the 2 lines are parallel and never intersect.
Answer:
The speed of the car is 42 miles per hour
Step-by-step explanation:
Step 1:
(Blank) x s = (Blank)
Let us evaluate this. Something times s miles per hour is going to gives us? 126 miles. So, our second blank would be 126 since that's our total:
(Blank) x s = 126
Step 2:
On the other hand, our first blank would be 3. Why? Because that's the amount of time it takes us to go 126 multiplied by s miles per hour; Our new equation is:
3 x s = 126
Step 3:
We can simplify this equation to:
3s = 126
Step 4:
We now have a one step equation. Divide each side by 3 to get s by itself.
Step 5:
We end up getting:
s = 42
That means that the car is traveling at 42 miles per hour. If the car continues at that rate for 3 hours, the car would have traveled 126 miles.
Hope this helps!