Answer:
The inequality for 
is:
Step-by-step explanation:
Given:
Width of rectangle = 3 ft
Height or length of rectangle = 
ft
Perimeter is at least 300 ft
To write an inequality for .
Solution:
Perimeter of a rectangle is given as:
⇒ 
where 
represents length of the rectangle and 
represents the width of the rectangle.
Plugging in the given values in the formula, the perimeter can be given as:
⇒ 
Using distribution:
⇒ 
Simplifying.
⇒ 
The perimeter is at lest 300 ft. So, the inequality can be given as:
⇒ 
Solving for
Subtracting both sides by 16.
⇒ 
⇒ 
Dividing both sides by 2.
⇒ 
⇒ (Answer)
Answer:
442 miles
Step-by-step explanation:
Given
To properly solve this question, I illustrate some given parameters using attached image
From the image, apply Pythagoras theorem
Differentiate w.r.t time (t)
Divide both sides by 2
From the question, we have that the plan travels are 510mi/h.
This implies that:
So, we then calculate the value of x when the distance (y) is 2mi i.e.:
Apply Pythagoras theorem
So, the expression becomes:
<em>Hence, the distance is 442 miles</em>
-10 and -1 multiply to get 10 and add to get -11
For number 13,the arrow should be going “<“ way because it is in fraction form and the bigger the number the smaller the pieces. This repeats for the rest of the questions so for number 14,the answer is “=“,and for number 15 it is “>”
