Answer:
x=3, y= - 2
Step-by-step explanation:
4x + 3y = 6
x-3y= 9
x=9+3y
4.(9+3y)+3y=6
36+12y+3y=6
15y = - 30
y = - 2
=> x= 9+3y
x= 9+ 3.(- 2)
x= 3
The answer to this question is 6 1/4. This is because the vertex of this function has a y-coordinate of 6.25, which is 6 1/4 in mixed fraction form.
Answer:
length: 14.2 ft; width 4.2 ft.
Step-by-step explanation:
Let x represent the length of the rectangle in feet. Then x-10 represents the width, and the area is ...
area = length×width
60 = x(x -10) . . . . . substitute the expressions for area, length, width
60 = x² -10x
85 = x² -10x +25 . . . . add (10/2)² to complete the square
85 = (x -5)² . . . . . . . . . rewrite as a square
√85 = x -5 . . . . . . . . . take the square root. Only the positive root is useful for this problem
x = 5 + √85 ≈ 14.2
x-10 = 4.2
The length and width of the rectangle are 14.2 ft and 4.2 ft.
Cos A = adjacent/hypotenuse
Cos A = 9/26 = 0.346
