-2(m + 4) = 40 please help
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Point-slope form is represented by . To write an equation with it, we need the slope of the line and a point the line crosses through. We already have at least one point the line crosses through, so let's figure out the slope.
To find the slope, use the slope formula .
and
represent the x and y values of one point the line crosses, and
and
represent the x and y values of another point the line crosses. So, using the x and y values of (1, -6) and (8, 9), substitute them into the formula and solve:
Thus, the slope is .
2) Now, using the point-slope form of , substitute
,
, and
for real values in order to write an equation in point-slope form. The
represents the slope, so substitute
in its place. The
and
represent the x and y values of one point on the line. So, choose any one of the points given - either one is fine - and substitute its x and y values for
and
. (I chose (8,9)). This gives the following equation and answer:
Given:
A set of composite numbers less than 12.
To find:
The set by listing and set builder methods.
Solution:
Composite number: A positive integer is called a composite number if it has at least one divisor other than 1 and itself.
Composite numbers less than 12 are 4, 6, 8, 9, 10.
By using the listing method , the given set can be expression as:
Set = {4, 6, 8, 9, 10}
The numbers 4, 6, 8, 9, 10 are greater than 1, less than 12 and non prime numbers.
By using set builder method, the given set can be expression as:
Set =
Therefore, the list and set builder notation of the given set are {4, 6, 8, 9, 10} and respectively.