Area (square mirror)=side²
Therefore:
side²=256 in²
side=√(256 in²)=16 in
Rectangular mirror:
width= square mirror width=side=16 in
length=(width + 2 in)=16 in + 2 in=18 in.
Area(rectangular mirror)=length x width.
Area (rectangular mirror)=(18 in)(16 in)=288 in².
Answer: the area of a rectangular mirror is 288 in².
we will proceed to resolve each case to determine the solution
we have


we know that
If an ordered pair is the solution of the inequality, then it must satisfy the inequality.
<u>case a)</u> 
Substitute the value of x and y in the inequality

-------> is true
so
The ordered pair
is a solution
<u>case b)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case c)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
<u>case d)</u> 
Substitute the value of x and y in the inequality

-------> is True
so
The ordered pair
is a solution
<u>case e)</u> 
Substitute the value of x and y in the inequality

-------> is False
so
The ordered pair
is not a solution
Verify
using a graphing tool
see the attached figure
the solution is the shaded area below the line
The points A and D lies on the shaded area, therefore the ordered pairs A and D are solution of the inequality
Answer:
3/7
Step-by-step explanation:
P(red) = number of red pens / total number of pens
= 3/7
Answer: The average of the first two test scores is 97.
Step-by-step explanation: Given that Kristie has taken five tests in science class. The average of all five of Kristie's test scores is 94 and the average of her last three test scores is 92.
We are to find the average score of her first two tests.
Let a1, a2, a3, a4 and a5 be teh scores of Kristle in first , second, third, fourth and fifth tests respectively.
Then, according to the given information, we have

and

Subtracting equation (ii) from equation (i), we get

Thus, the average of the first two test scores is 97.