Answer:
1) 8/15
Step-by-step explanation:
When dividing by a number, multiply by its reciprocal.
2/5 ÷ 3/4
2/5 × 4/3
8/15
Width = w
Length = w + 1
Area = 30
w(w+1) = 30
w² + w = 30
w² + w - 30 = 0
w² + 6w - 5w - 30 = 0
w(w + 6) -5(w + 6) = 0
(w + 6)(w - 5) = 0
w = 5 or -6
Since the width cannot be negative, the width is 5 units.
Hence, the width is 5 units and the length is 6 units.
Answer:
y=12
Step-by-step explanation:
This equation cannot be simplified further.
Hope this helped! :)
Answer:
D. 3x - 3
Step-by-step explanation:
To find (f-g)(x) you have to subtract each fuction
(f-g)(x) = f(x) - g(x)
(f-g)(x) = 5x -2 - (2x+1)
(f-g)(x) = 5x -2 -2x -1
(f-g)(x) = 3x -3
Answer:
Most likely (B)
Step-by-step explanation:
Points of ABCD:
A (3,1)
B (3,4)
C (5,5)
D (5,2)
The algebraic rule for reflecting across the y axis:
(x,y) ---> (-x, y)
Points of ABCD after being reflected: (shown by figure 2)
A (-3, 1)
B (-3, 4)
C (-5, 5)
D (-5, 2)
Then, the figure got translated two units to the left, resulting in figure F in the picture, and A’B’C’D’ in the question.
Points of ABCD after being translated by (x-2, y) : (shown by figure F)
A (-5, 1)
B (-5, 4)
C (-7, 5)
D (-7, 2)
This should be the coordinates of A’B’C’D’.