Answer:
3/7
Step-by-step explanation:
21w - 21 = -12
21w = -12 +21
21w = 9
w = 9/21
i.e w= 3/7
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers
Answer:
-87
Step-by-step explanation:
-(-7^2) + 6(-7) + 4
-49 -42 + 4
-87
Of course for a rectangle A = L × W and we need to be careful about the units.
Here that's
18900 sq cm = L × 180 cm
where the area's in sq cm so we converted the width. We get
L = 18900 / 180 = 105 cm
We're asked for the result in meters, so that's
Answer: 1.05 m
The perimeter of the outer rectangle is
18.4 m + 32.5 m + 18.4 m + 32.5 m = 101.8 m
Answer: 101.8 m
The area of the seating space is the big rectangle minus the small rectangle,
A = 18.4(32.5) - 15(28) = 178 sq m
Answer: 178 sq m
