Answer:
Step-by-step explanation:
A function is a relation that associates each element x of a set X, to a single element y of another set Y.
Set X is called DOMAIN
Set Y is called RANGE (CODOMAIN)
We have:
{(3, 5), (2, 4), (-3, 0), (6, 3)}
DOMAIN: {3, 2, -3, 6}
RANGE: {5, 4, 0, 3}
If Selwyn adds the pair (2, 5) or (6, 6), then the set is no longer a function, because for
x = 2 we have two different values of y: 4 and 5
x = 6 we have two different values of y: 3 and 6.
Answer:
(14/3, 8/3)
Step-by-step explanation:
Let the points be
The formula for finding the coordinates of point that divides the line in a:b is:
Here x and y are the coordinates of the point that will partition the line into given ratios
Our ratio is 2 to 1,
So,
a=2
b=1
Putting the values in the formula
So the coordinates of point that divides AB in 2:1 are:
(14/3, 8/3) ..
To find the coordinates of point C, divide the x- and y-coordinates of AB in the ratio 2:1.
To find the coordinates of point C, we can use the concept of dividing a line segment in a given ratio. Given that AC:CB is 2:1, we can divide the x- and y-coordinates of the line segment AB in the same ratio.
The x-coordinate of point C is calculated by dividing the difference between the x-coordinates of points A and B by the sum of the ratio (2+1).
The y-coordinate of point C is calculated by dividing the difference between the y-coordinates of points A and B by the sum of the ratio (2+1).
Therefore, the coordinates of point C are (-2, 3).
#SPJ12
–6.2, 5.71, –3.96, 2.84
(a) Is Sally’s statement always true, sometimes true, or always false? Write two pairs of equations using addition and two pairs of equations using subtraction to support your answer.
(b) Write a rule about changing the order of the numbers in adding and in subtracting positive and negative decimals.
slope = -3/7 what is the equation?
Answer:
y = -(3/7)x + 2
Step-by-step explanation:
(see attached)
recall that the slope-intercept form of a linear equation is
y = mx + b
where m = slope = given as -(3/7)
and b = y-intercept = 2
substituting these values into the eqation:
y = mx + b
y = -(3/7)x + 2