Answer:
-4, -2, 2, 8
Step-by-step explanation:
The first four terms will be found by evaluating the expression for values of n that are 1, 2, 3, 4. Evaluating for n=1 is sufficient to determine the correct answer choice:
n(n -1) -4
1(1 -1) -4 = -4 . . . . matches the third choice
Answer:
The width of the rectangle is 18 inches, and the length is 50 inches
Step-by-step explanation:
We can designate a variable, x, to represent the width of the rectangle. To represent the length and widths of the rectangle, we can say that the length is 3x-4 and the width is just x. We can then write an equation for the perimeter and solve:
2(3x-4) + 2x = 136
6x - 8 + 2x = 136
8x - 8 = 136
8x = 144
x = 18
To calculate the length
(3x - 4)
3(18) - 4 = 50 in
Answer:
33°, 57°
Step-by-step explanation:
The sum of angle measures is 90°, so we can write ...
(x +3) + (2x -3) = 90
3x = 90 . . . . . . . . . . . . simplify
x = 30 . . . . . . . . . . . . . divide by 3
The first angle is 30+3 = 33 degrees.
The second angle is 2·30-3 = 57 degrees.
_____
Check:
33° +57° = 90°
Answer:
S = 13 - x
T = (18 + x) / 2
Step-by-step explanation:
S = 18
T= 18
Sue gives away x, so subtract it from 18. But Tony gets x, so add it to 18 in his expression.
S = 18 - x
T= 18 + x
Sue eats 5 so subtract 5 from her expression. Tony eats half, so divide his expression by 2.
S = 18 - x - 5
T = 18 + x / 2
Simplify 18-5.
S = 13 - x
T = (18 + x) / 2
