Brent is trying to figure out the relationship between the number of times his friends post on social media and their grade point averages. he records the collected data on a scatter plot. which of the linear functions best models the line of best fit? what does the slope in the equation represent?

a) y = 0.004x - 4; the average number of posts per friend

b) y = -0.5x - 4; the amount of decrease in the gpa for each post

c) y = 0.05x - 4; the amount of increase in the gpa for each post

d) y = -0.004x + 4; the amount of decrease in the gpa for each post

the answer is D

y=-o.oo4x + 4; the amount of drcreases in the GPA for each post

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).