The answer would be 16 and it also said a the answer in the questions
-4x + 9y = 9...............(1)
x - 3y = -6 Multiply through by 3:-
3x - 9y = -18..............(2)
adding equations (1) and (3):-
-x = -9
x = 9
Substitute for x in equation (1)
-4(9) + 9y = 9
-36 + 9y = 9
9y = 45
y = 5
Answer is x = 9 and y = 5
Answer:
The road width is x = 10 m.
Step-by-step explanation:
A formula for the area of the horizontal rectangle is A1 = (x)(20 m).
A formula for the small rectangle on top of that is A2 = (x)(18 - x).
The total area of the new roadway is 280 m^2.
Summing up A1 and A2 and equating the result to 280 m^2, we get:
20x + 18x - x^2 = 280
Rewriting this in the standard quadratic form:
-x^2 + 38x - 280 = 0
Here the coefficients are a = -1, b = 38 and c = -280.
The discriminant is thus b^2 - 4ac, or:
38^2 - 4(-1)(-280) = 1444 - 4(280) = 324, or 18^2.
Thus, the roots (x-values) are:
-38 ± 18
-------------- = 28 and 10
-2
Only the value x = 10 makes sense here, so we omit the other value (28).
The road width is x = 10 m.
x = ----------------------
6 is Q1, 2 is minimum, max is 18. Median you just put all numbers in order and find the middle. Q3 is in between those
