Answer:
x = 3
Step-by-step explanation:
we know that if we have an original line and we are finding the perpendicular we know that the slope of the second line is gonna be the negative reciprocal of the first line and given that we know it must be perpendicular to the original line it will be heading downwards on the y axis with no slope so instead of y equals it will be x equals and we know that our x value of the point given is three so the answer is x = 3
Answer:

Step-by-step explanation:
Cost of one cup of coffee=$2
The original amount of money on the gift card= $30
Juan's expenses in buying coffee, after
morning are
.
The amount of money left,
, on the card
(Original amount)
(Total expenses)

Hence, the equation for,
, the amount of money remaining on the card is

Answer:

Step-by-step explanation:
To find the distance between a point (m, n ) and the line
Ax + By + C = 0
d = 
Here (m, n) = (6, 2) and rearranging the line
6x - y + 3 = 0 ← in general form
with A = 6, B = - 1 and C = 3 , then
d = 
= 
=
Rationalise the denominator by multiplying numerator/ denominator by 
=
×
=
← cancel 37 on numerator/ denominator
= 
To find which measure of variability is greater and which average number of monthly fatalities is higher, you will need to calculate the mean and the mean absolute deviation for both years
The mean will tell us which is generally higher, and the mean absolute deviation will tell us which has a greater variability.
The correct answer is D.
Please see the attached picture for the work.
Answer:
The function y = sec(x) shifted 3 units left and 7 units down .
Step-by-step explanation:
Given the function: y = sec(x)
- If k is any positive real number, then the graph of f(x) - k is the graph of y = f(x) shifted downward k units.
- If p is a positive real number, then the graph of f(x+p) is the graph of y=f(x) shifted to the left p units.
The function
comes from the base function y= sec(x).
Since 3 is added added on the inside, this is a horizontal shift Left 3 unit, and since 7 is subtracted on the outside, this is a vertical shift down 7 units.
Therefore, the transformation on the given function is shifted 3 units left and 7 units down