In the given question, all the necessary information's are already provided. Using these information's it is easy to find the average speed of the car in miles per hour. It is given that the car covers 10 laps in 18 minutes and each lap is 3.6 miles in length.
Total distance covered by the car = (10 * 3.6) miles
= 36 miles
Now we have to convert the time from minutes to hours. So
18 minutes = 18/60 hours
= 3/10 hours
Now we can easily calculate the average speed of the favorite car of Mathew.
Average Speed = 36 * (10/3) miles/hour
= 120 miles/ hour
(7+√5)(3-√5)=21-7√5+3√5-5=16-4√5
Answer: (7+√5)(3-√5)=16-4√5
Answer:
This expression can be simplified to 1
Step-by-step explanation:
Answer: (6,-20)
Explanation:
The equation f(x) = -(x-6)^2 - 20 is the same as y = -1(x-6)^2 + (-20)
It is in the form y = a(x-h)^2 + k
The vertex is (h,k)
In this case, h = 6 and k = -20
So that's why the vertex is (6,-20)
Answer:
Choice D
Step-by-step explanation:
First we should find the slope of the equation, so since it's perpendicular to the other equation that means it's the opposite and the reciprocal of that slope. So the slope is 
.
Now we have to find the y-intercept. We already know the x-intercept, so we could use that to find the y-intercept. For that we need to know the slope and one ordered pair, which is (36,0). Then we plug into this formula 
.
So now that we found the y-intercept we just have to put it all together....
