For line B to AC: y - 6 = (1/3)(x - 4); y - 6 = (x/3) - (4/3); 3y - 18 = x - 4, so 3y - x = 14
For line A to BC: y - 6 = (-1)(x - 0); y - 6 = -x, so y + x = 6
Since these lines intersect at one point (the orthocenter), we can use simultaneous equations to solve for x and/or y:
(3y - x = 14) + (y + x = 6) => 4y = 20, y = +5; Substitute this into y + x = 6: 5 + x = 6, x = +1
<span>So the orthocenter is at coordinates (1,5), and the slopes of all three orthocenter lines are above.</span>
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:
119
Step-by-step explanation:
6x+8=100
6x=92
X= 15.33 or x =15 1/3
Answer:
Price for Senior Citizen = $7.61
Percent of the regular price = 85% off original
Step-by-step explanation:
Regular Price is $8.95
Seniors get 15% off of that. So, first we need to find 15% of 8.95 and then subtract it from 8.95.
To get percentage of a number, we first convert the percentage to decimal (by dividing by 100) and then multiply it with the number.
15% = 15/100 = 0.15
Fifteen Percent of 8.95 is:
0.15 * 8.95 = $1.3425
Senior Citizen Price = 8.95 - 1.3425 = $7.6075
Rounded to nearest cent = $7.61
How much is this as a percentage of original?
Simple, it is 15% off of the regular price, so this price is 100 - 15 = 85% of original price
