Make a picture of the problem.
Fred and Gwen are seated opposite each other, and we name the 4 remaining seats 1, 2, 3, 4, starting from the right of Fred.
There are 4 options for seat 1,
then 3 for the seat 2, after one is seated in the 1.st seat
2 options for the seat 3,
and 1 for the seat 4.
That is, the 4 friends can sit in 4*3*2*1=24 different ways.
Answer: 24
Answer:
1) If the function is 
, 
2) If the function is 
, 
3) If the function is 
, 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
f(6) means that you must substitute x=6 into the function above.
1. If the given the function , you obtain:
2. If the function is
Then:
3. If the function is
Then:
Answer:
(c) The x and y coordinates are switched
Step-by-step explanation:
Given
See attachment
Required
Determine the error in the plot
The plot on the attached graph is represented with: 
This implies that Raj plotted the x coordinate on the y coordinate and vice versa.
Hence: (c) is true
The point with the greatest distance to the origin is given by:
B. (-3, 3).
<h3>What is the distance between two points?</h3>
Suppose that we have two points, 
and 
. The distance between them is given by:
The origin is given by point (0,0), hence the distance of a point (x,y) to the origin is given by:
D = sqrt(x² + y²).
Hence the distances for each point given in the problem are:
- A. Distance = sqrt((-4)² + (-1)²) = sqrt(17).
- B. Distance = sqrt((-3)² + (3)²) = sqrt(18).
- C. Distance = sqrt((4)² + 0²) = sqrt(16).
- D. Distance = sqrt((2)² + 3²) = sqrt(13).
Hence option B has the greatest distance.
More can be learned about the distance between two points at brainly.com/question/18345417
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Answer:
(B)The expression (5n)(9-p) is the product
(D)The expression 9-p has exactly two terms
Step-by-step explanation:
In the expression;
The coefficient of m is 1, therefore Option A is not true
The product of 5n and 9-p is (5n)(9-p), therefore Option B is true.
The expression 9-p has exactly two terms,9 and p.
Therefore, Options B and D are true.
