The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is 
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
____________________________
As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
_____________________________
All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
Answer:
y =
x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m =
, then
y =
x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = 1 + c ⇒ c = - 2 - 1 = - 3
y =
x - 3 ← equation of line
Answer:
Probability that one of them is mathematics and other two are either physics or history books = 0.51
Step-by-step explanation:
Given - A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
To find - What is the probability one of them is mathematics and other two are either physics or history books ?
Solution -
Given that,
A student needs to select 3 books from 3 different mathematics, 3 different physics and 1 history books.
So,
Total number of books = 3 + 3 + 1 = 7
The student has to select 3 books
So, Total number of ways =
= 35
So,
Probability that one of them is mathematics and other two are either physics or history books is -
= 
= 
= 
= 0.51
⇒Probability that one of them is mathematics and other two are either physics or history books = 0.51
Answer: For the value of w=4,
is a true statement.
Step-by-step explanation:
Since, the given expression,

= 
= 
=
( by subtraction property of equality)
⇒
( By division property of equality)
⇒ w=4 ( By multiplication property of equality)
Your possible triangles are:
20°, 80°, 50°