Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
The probability that Jeremy randomly selected a round tile and a square tile from the sets is given as 1/40 (Option D).
<h3>
What is probability?</h3>
Probability in mathematics is the branch of maths that speaks to the likelihood of an event occurring. Probability is usually given or described to occur between 0 and 1.
1 is the likelihood that the event will occur while zero is the certainty that an event will NOT occur.
Taken in decimal form, the likelihood of the above event occurring will very slim, because, 1/40 = 0.025
Learn more about Probability at:
brainly.com/question/24756209
Answer:

Step-by-step explanation:
we are given the endpoint i.e P and Q of a line segment
we want to figure out the Midpoint of the Line segment
in order to do so we can use Midpoint formula given by

so let

substitute

simplify addition:

simplify division:

hence,
the Midpoint of the line segment is (3,1)
Answer A because of the absolute value sign.