Answer:
Step-by-step explanation:
Alright, lets get started.
Lets find slope for both bikes one by one
For bike 1 :
There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)
So the slope for bike 1 is : 
So the slope for bike 1 is : 
So the slope for bike 1 is : 
For bike 2 :
There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)
So the slope for bike 2 is :
So the slope for bike 2 is : 
Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2. So, answer is option D
Answer:
answer b
Step-by-step explanation:
hope that helps
Answer:
(x²-2x)/(2x+6)
Step-by-step explanation:
When you are asked to divide two fractions just do keep-change-flip. Keep the first fraction, change the ÷ to x and flip the second fraction upside down. So the problem becomes ((x-2)/(x+3)) times (x/2). Then just multiply numerators and multiply denominators.
It will be at point (5,5)
Answer:
k = 3
Step-by-step explanation:
Using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = A (- 2, 4 ) and (x₂, y₂ ) = P (2k, k)
AP = 
Repeat
with (x₁, y₁ ) = B (7, - 5) and P = (2k, k)
BP = 
Given that AP = BP, then
=
Square both sides
(2k + 2)² + (k - 4)² = (2k - 7)² + (k + 5)² ← expand factors on both sides
4k² + 8k + 4 + k² - 8k + 16 = 4k² - 28k + 49 + k² + 10k + 25
Simplify both sides by collecting like terms
5k² + 20 = 5k² - 18k + 74 ( subtract 5k² from both sides )
20 = - 18k + 74 ( subtract 74 from both sides )
- 54 = - 18k ( divide both sides by - 18 )
k = 3
