Answer:


Step-by-step explanation:
<u>Equations</u>
We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

Rearranging

Factoring:

There are two solutions:

The second case requires us to find the value of x such that

Rearranging

This second-degree equation has no real roots. We'll offer the imaginary (complex) solutions:

Let the width of room be =x mtrs
Then the length is x+2 mtrs
As Perimeter = 2(l+b) = 2(x+x+2)
16 = 2 ( 2x+2)
16/2 = 2x +2
8=2x+2
2x= 8-2 = 6
x = 6/2 =3 mtrs
Therefore width of the room is 3 mtrs
Answer:
1. 16 teachers 2. 8 tutor 3. 6 teachers
Step-by-step explanation:
Answer: 16 minutes and 40 seconds
Step-by-step explanation:
1.) Divide 10 minutes by 3 laps in order to find out how long it takes her to run a single lap. (it ends up being 3 minutes and 20 seconds per lap)
2.) Multiply this number by 5, you get 16 minutes and 40 seconds.
NOTE: remember that you’re using intervals of 60 (seconds in a minute) rather than intervals of 100.
Answer:
x=2
y=3
Step-by-step explanation:
y=−2x+7
y=5x−7
Set the two equations equal since they are both equal to y
−2x+7
=5x−7
Add 2x to each side
-2x+7+2x = 5x-7+2x
7 = 7x-7
Add 7 to each side
7+7 = 7x-7+7
14 =7x
Divide by 7
14/7 = 7x/7
2 =x
Now find 7
y = 5x-7
y = 5(2) -7
y = 10-7
y = 3