Answer:
C
Step-by-step explanation:
A
(m² - 3m + 2) / (m² - m)
we see due to a little bit of experience with expressions and multiplications of expressions that
(m² - 3m + 2) = (m - 2)(m - 1)
(m² - m) = m(m - 1)
so,
(m - 2)(m - 1) / (m(m - 1)) = (m - 2) / m
so, that's not it.
B
(m² - 2m + 1) / (m - 1)
we see again
(m² - 2m + 1) = (m - 1)(m - 1)
so,
(m - 1)(m - 1) / (m - 1) = m - 1
so, that's not it.
C
(m² - m - 2) / (m² - 1)
we see again
(m² - m - 2) = (m - 2)(m + 1)
and
(m² - 1) = (m + 1)(m - 1)
so,
(m - 2)(m + 1) / ((m + 1)(m - 1)) = (m - 2) / (m - 1)
yes, that is the solution.
D
(2m² - 4m) / (2(m - 2))
2m(m - 2) / (2(m - 2)) = 2m/2 = m
no, that is not a solution.
Answer:
60 different possibilities
Step-by-step explanation:
Number of bikers = 5
Positions = first, second and third
First positions = all 5 riders can take the first spot = 5 possibilities
Second spot = position 1 has been filled hence number of possibilities = ( 5 - 1) = 4
Third spot = position 1 and 2 has been filled ; number of possibilities =. (5 - 2). = 3
Number of possible arrangements :
5 * 4 * 3 = 60 different possibilities
There are 91 in total. Since there are 21 red cars, it would give you 21/91. Around a 23.07% chance.
Answer:
you combine the numbers that are the same and see the signs if it's positive with the negative, it's going to be negative
The equation of the line is y = 
x + 
Step-by-step explanation:
The form of the linear equation is y = mx + b, where
- m is the slope of the line,
- b is the y-intercept, to find b substitute x and y in the equation by the coordinates of any point on the line
∵ A line passes through points ( 
, 5) and ( 
, 4)
∴ 
= and 
=
∴ 
= 5 and 
= 4
- Substitute them in the rule of the slope to find m
∵ 
∴ 
- Substitute it in the form of the equation
∴ y = x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ Point ( , 5) lies on the line
∴ x = and y = 5
∴ 5 = ( ) + b
∴ 5 = 
+ b
- Subtract from both sides
∴ = b
∴ y = x +
The equation of the line is y = x +
Learn more:
You can learn more about the linear equations in brainly.com/question/1284310
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