Answer:
Roman
Step-by-step explanation:
An easy way to solve this is looking at whether the line has a positive or negative slope. We read graphs from left to right so <u>if the line is increasing from left to right, it has a positive slope while a line decreasing from left to right has a negative slope</u>. Since the line shown is decreasing from left to right, it will have a negative slope and Roman is the only one out of the two that shows a negative slope. To check to see if he's correct, we can check the y-intercept. The y-intercept of the line is 8 and Roman also has 8 written in the expression. Hence, meaning Roman is correct.
Best of Luck!
Since the area of a square is equal to the square of one of its side's length, then the area should be equivalent to

.

---> equation (1)
By using pythagoras rule which states that the

---> equation (2)
where the opposite side's length is 8 and the hypotenuse side's length is 10
by substituting by the values in equation (2) therefore,

substitute this value in equation (1) then

where A is the area of the square whose side is x
Use the remainder theorem: we can decompose the given polynomial in terms of quotient and remainder polynomials
and
, respectively, such that

Then letting x = -3 makes the quotient term vanish, and we're left with a remainder of

The x-intercept is (9,0). Hope it help!
2 consecutive even numbers.....x and x + 2
x(x + 2) = 7(x + 2) + 10
x^2 + 2x = 7x + 14 + 10
x^2 + 2x = 7x + 24
x^2 + 2x - 7x - 24 = 0
x^2 - 5x - 24 = 0
(x - 8)(x + 3) = 0
x - 8 = 0
x = 8
x + 3 = 0
x = -3...not this one because it is negative
x = 8
x + 2 = 8 + 2 = 10
so ur 2 consecutive even numbers are 8 and 10