The product of the slopes of perpendicular lines equals -1
Solution:
Need to determine product of slope of perpendicular lines.
Product of slopes of perpendicular lines is always equal to -1.
lets verify this.
let consider following two equation of perpendicular lines
2x – y = 1
x + 2y = 2
Now evaluate slope of each line by representing them in slop intercept form that is y = mx + c
Where coefficient of x represents slope m.
Representing first line in slope intercept form we get
y = 2x – 1
On comparing above equation with slope intercept form we can say that its slope is 2.
Similarly representing x + 2y = 2 equation in slope intercept form we get
On comparing above equation with slope intercept form we can say that its slope is
On multiplying slopes of two perpendicular lines we get,
Hence product of slope of perpendicular line is -1
If two non-vertical lines are perpendicular, then their slopes are opposite reciprocals giving you -1.
:) Hope this helps.
It is a relation but not a function
Step-by-step explanation:
Given
(3,6) (3,7) (-2,-5) (-9,11)
First of all we have to define both terms: Relation and Function
A relation is a set of ordered pairs containing one element from each set
A relation can be a function only if there is no repetition in domain i.e. no first element in each ordered pair should be repeated.
In the given set of ordered pairs, they are relation as all the ordered pairs have two values.
While the given relation is not a function, as there is repetition in first elements of two ordered pairs i.e. 3 is repeated in (3,6) (3,7)
Hence,
It is a relation but not a function
Keywords: Functions, Relations
Learn more about functions at:
#LearnwithBrainly
Answer:
(15/7)x = 2700; x = 1260
Step-by-step explanation:
Let x be the number of people who visit the site and b be the bonus.
Your bonus increases by $15/7 people, so
b = (15/7)x
Your bonus must equal $2700.
The equation to solve for the number of visitors is
(15/7)x = 2700 Multiply each side by 7
15x = 18 900 Divide each side by 15
x = 1260
1260 people must visit the website.
Answer: 5.55
Step-by-step explanation:
5550/10^3
10 * 10 * 10 = 1,000
5550/1000 = 5.55
Answer:
5.55
Step-by-step explanation:
10*10=100
100*10=1000
5550/1000=
Answer:
C x = 4096
Step-by-step explanation:
log8 x = 4
Raise each side to the base of 8
8^ log 8 (x) = 8^4
x = 8^4
x = 4096