<u>Answer:</u>
1 cm : 10.5 km
<u>Step-by-step explanation:</u>
We are given that two towns are 31.5 km in real and are 3 cm apart on a map and we are to find the scale of the map.
For this, we can use the ratio method.



Therefore, the scale of the map would be 1 cm : 10.5 km.
Answer:
x = -3±sqrt( 5)
Step-by-step explanation:
(x + 3)^2-5=0
Add 5 to each side
(x + 3)^2-5+5=0+5
(x + 3)^2 = 5
Take the square root of each side
sqrt((x + 3)^2 )=±sqrt( 5)
x+3 = ±sqrt( 5)
Subtract 3 from each side
x+3-3 = -3±sqrt( 5)
x = -3±sqrt( 5)
Answer:
Option c
or 
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function
x> 0 for all real numbers.
Then the inequation:
has two cases
if
(i)
if
(ii)
We solve the case (i)

We solve the case (ii)

Then the solution is:
or 
M= (7-1)/(2-0)=3
y=3x + c
plug in Q
1= 3 x 0 +c
=> c =-2
=> the equation represents line QR is y=3x -2
<h2>
Greetings</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>
Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:

m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>
5m = 160
Divide both sides by 5:

m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>