Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
no
Step-by-step explanation:
A probability is a number between zero and one.
There are 3 options win, lose or draw.
This means that (win + loss + draw = 1)
From the information given you know:
Win = 0.02
Draw = 0.8
So: 0.02 + loss + 0.8 = 1
Therefor loss = 1 - 0.8 - 0.02
loss = 0.18
final answer ^
Hope this helps, let me know if you don't get any of it!
Vertical asymptotes can be found by setting the denominator equal to 0
x^2-6x = 0
factor out x
x(x-6)
set the two parts equal to 0
x = 0
x-6 = 0
x = 6
so the two x values are 0 and 6
ANSWER: B. x = 0, x = 6
10.5, 11, 11.5, 12, 12.5...this is an arithmetic sequence with a common difference of 0.5
an = a1 + (n - 1) * d
n = term to find = 23
a1 = first term = 10.5
d = common difference = 0.5
sub and solve
a(23) = 10.5 + (23 - 1) * 0.5
a(23) = 10.5 + 22 * 0.5
a(23) = 10.5 + 11
a(23) = 21.5 <===
