15. = slope would be 7 and y-int would be -4
16. = slope would be -2/5 and y-int would be 0
17. = doesn’t have a y variable
slope intercept form is y=mx+b with the m being the slope and the b being the y-int. in some cases where the equation is not in this form you have to change it so it is in that form by using opposite operations
Answer:
a) Suppose that F is ordered in ascending order:
. Then, the complement of F can be written as

which is the union of a finite number of open intervals, then
is an open set. Thus, F is a closed subset of the real numbers.
b) Take an arbitrary element of F, let us say
. Now, choose a real number
such that
there are not other element of F, because
is less that the minimum distance between
and its neighbors.
In case that
we only consider
, and if
we only consider
.
Then, all points of F are isolated.
Step-by-step explanation:
Answer:
1.02 as a decimal
1 and 1/50 as a fraction
Step-by-step explanation:
Answer:
p=4
Step-by-step explanation:
because 5 is less than or equal to four!
another number grater than five no less than
so the answer is p=4
Question:
Consider ΔABC, whose vertices are A (2, 1), B (3, 3), and C (1, 6); let the line segment AC represent the base of the triangle.
(a) Find the equation of the line passing through B and perpendicular to the line AC
(b) Let the point of intersection of line AC with the line you found in part A be point D. Find the coordinates of point D.
Answer:


Step-by-step explanation:
Given




Solving (a): Line that passes through B, perpendicular to AC.
First, calculate the slope of AC

Where:
--- 
--- 
The slope is:



The slope of the line that passes through B is calculated as:
--- because it is perpendicular to AC.
So, we have:


The equation of the line is the calculated using:

Where:

--- 

So, we have:

Cross multiply




Make y the subject

Solving (b): Point of intersection between AC and 
First, calculate the equation of AC using:

Where:
--- 

So:



So, we have:
and 
Equate both to solve for x
i.e.


Collect like terms

Multiply through by 5

Collect like terms

Solve for x


Substitute
in 


Take LCM


Hence, the coordinates of D is:
