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
There you go. Let me know if you have questions
Answer:

Step-by-step explanation:
<u>Question 1</u>
<u>Part (a)</u> :
⇒ 6 × 6 × 6 × 6 × 6 × 6 × 6 = 6ˣ
⇒ 6⁷ = 6ˣ
⇒ x = 7
<u>Part (b)</u> :
⇒ y² = 169
⇒ √y² = √169
⇒ y = ± 13
⇒ y = 13, y = -13
<u>Question 2</u>
<u>Part (a)</u> :
⇒ (√5)² × (√3)²
⇒ 5 × 3
⇒ 15
<u>Part (b)</u> :
⇒ (∛9)³ × (√30)²
⇒ 9 × 30
⇒ 270
Answer:
(1.8, -2.6) and (-1, 3)
Step-by-step explanation:


From the first equation

Applying to the second equation

Solving the equation we get

At x = 1.8
Applying in first equation

At x = -1
Applying in first equation

∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)
K=y/x
k=68.75/5 (you can pick any number by multiplying x by 13.75)
k=13.75
hope this helps