Answer:
Carlos is incorrect.
Step-by-step explanation:
We have been given that a line through the origin has a slope of
. Carlos thinks the slope of a perpendicular line at the origin will be 3.
We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.
The slope of the perpendicular line at the origin will be negative reciprocal of
.
Let us find negative reciprocal of
as:

Since the slope of a perpendicular line at the origin is
, therefore, Carlos is incorrect.
Answer:
When y = |x + h|, the graph is shifted (or translated) <u>to the left.</u>
When y = |x - h|, the graph is shifted (or translated) <u>to the right.</u>
Step-by-step explanation:
Part A:
The parent function of vertex graphs are y = |x|, and any transformations done to y = |x| are shown in this format (also known as vertex form): y = a|x - h| + k
(h , k) is the vertex of the graph.
So, for the first part, what y = |x + h| is saying is y = |x - (-h)|.
The -h is substituted for h, and negatives cancel out, resulting in x + h.
This translates to the left of the graph.
Part B:
For the second part, y = |x - h| looks just like the normal vertex form. In this one, we are just plugging in a positive value for h.
This translates to the right of the graph.
Answer:
he should chose compounded annually because he would have and extra 32.12 dollars at the end of the 4 years
Step-by-step explanation:
hope this helps
Answer:
3 cases
Step-by-step explanation:
45 - 27 = 18
18 ÷ 5 = 3
Tax is probably like $1 so It would add up to 18.
Answer:

Step-by-step explanation:
Given
Shape: Cylinder



Required
Simplify the volume
The volume is calculated as:

Substitute values for Base Area and Height

Expand the bracket

Open brackets


