Answer:
Base = x = 18ft
Height = x - 4 = 14ft
Step-by-step explanation:
The formula for the area of A the triangle is given by the following equation:
1) A = (base * heigth)/(2)
From this problem, we know that
base = x and that the height is 4ft less than the base, so height = base - 4 = x - 4.
We also know that the area is 126ft², so A = 126 ft². Now we can replace these informations in equation 1).
126 = (x(x-4))/2
x² - 4x = 252
x² -4x - 252 = 0
The roots of this equation are x = 18 or x = -14. But we know that a triangle cannot have negative dimensions, so we use x = 18.
The base is x, so base = 18ft.
Height is 4ft less than the base, so height equals 18-4 = 14ft
We graphically solve
by graphing
and
and eyeballing the points where they intersect each other.
Really none of our choices are the solution set listing all the (x,y) pairs where the two functions meet because none of them is a set.
Anyway we count from the origin five to the right and three up to the meet of the lines, which is the point
, last choice.
Since both numbers are negative we know that the product will be positive and when something is time 1.5 that is the same as a 50% increase so that is adding half of the original number (4) so the final answer is 6 (4+(half of 4))=6
Answer:
It could be 11/10
Step-by-step explanation:
