For this case we must find the point that Harold used to arrive at the following equation:
Starting from the fact that the equation of the point-slope form of a line is given by:
If we compare the standard equation with Harold's, we see that the slope of the line is 
In addition, it is observed that 
and 
Then, the correct option is: Harold used the point (7,0)
ANswer:
When Harold wrote his equation, the point was used (7,0).
Answer:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
Step-by-step explanation:
A mathematical translation of the statement of the problem is:
Where x, y represent the lengths of the longest and shortest feathers, respectively. Let assume that length of the shortest feather is 1/4 inches. Then, the length of the longest feather is:
By assuming that shortest feather has a length of 1/4 inches, the length of the longest feather is 2 inches.
Answer:
9 / 64
Step-by-step explanation:
- In this task you have 2 events and you are looking for a joint probability. The first event is "Rebecca chooses a poodle". The probability of this event is:
P ( Rebecca chooses a poodle ) = 3 / 8
- because among 8 dogs there are 3 poodles.
- The second event is "Aaron selects a poodle".
This event has a probability of that is equivalent to previous selection:
P ( Aaron chooses a poodle ) = 3 / 8
- Because after Rebecca's choice the chosen poodle is replaced with the poodle; hence, there are 8 pets in total and among them there are 3 poodles.
- To calculate probability of both events ("Rebeca selects a poodle and Aaron selects a poodle") with replacement you have to multiply both calculated probabilities - condition of independent events :
P ( Aaron and Rebecca both select poodle ) = 3 / 8 * 3 / 8
= 9 / 64
The expression of function g(x) is 
<h3>How to determine the expression?</h3>
The function is given as:
When the function is shifted right by 1 unit, the rule is:
f'(x) = f(x - 1)
So, we have:
When the function is compressed horizontally by a factor of 2, the rule is:
f'(x) = f(x/2)
So, we have:
Hence, the expression of function g(x) is
Read more about function transformation at:
brainly.com/question/13810353
#SPJ1
Answer:
Answer 44
Step-by-step explanation:
I'll do some of it. You can supply some of the vocabulary.
<Q = 56 degrees The triangle is isosceles.
<PRQ = 180 - 56 - 56 All triangles have 180 degrees.
<PRQ = 68 Do the subtraction
<PRQ = <SRT Why is this so? You have the term.
<TRS = 68 degrees The reason is the same as the last part.
<T = <RST The triangle is isosceles (2 equal angles)
<T = 68 Two equal angles = the same degrees
S = 180 - <T - < RST S is the left over from the 2 equal angles.
S = 180 - 68 + 68 Substitute.
S = 44
