Answer:
x = 2 and x = 10
Step-by-step explanation:
(x+3)^2 = (x - 5)^2 + (x + 2)^2
x^2 + 6x + 9 = x^2 - 10x + 25 + x^2 + 4x + 4
x^2 + 6x + 9 =2x^2 - 6x + 29
x^2 - 12x + 20 = 0
(x - 10)(x - 2) = 0
x - 10 = 0; x = 10
x - 2 = 0; x = 2
Answer:
6 feet
Step-by-step explanation:
Let's form a proportion;
24 x
____ = _____ ,
9 2.25
24(2.25) = 9x,
54 = 9x,
x = height of soldier = 6 feet
The formula is f(x) = a x ^ 3 + b x ^ 2 + c x + d
f '(x) = 3ax^2 + 2bx + c.
f(- 3) = 3 ==> - 27a + 9b - 3c + d = 3
f '(- 3) = 0 (being a most extreme) ==> 27a - 6b + c = 0.
f(1) = 0 ==> a + b + c + d = 0
f '(1) = 0 (being a base) ==> 3a + 2b + c = 0.
-
Along these lines, we have the four conditions
- 27a + 9b - 3c + d = 3
a + b + c + d = 0
27a - 6b + c = 0
3a + 2b + c = 0
Subtracting the last two conditions yields 24a - 8b = 0 ==> b = 3a.
Along these lines, the last condition yields 3a + 6a + c = 0 ==> c = - 9a.
Consequently, we have from the initial two conditions:
- 27a + 9(3a) - 3(- 9a) + d = 3 ==> 27a + d = 3
a + 3a - 9a + d = 0 ==> d = 5a.
Along these lines, a = 3/32 and d = 15/32.
==> b = 9/32 and c = - 27/32.
That is, f(x) = (1/32)(3x^3 + 9x^2 - 27x + 15).
It’s really blurry.......
1 cleaning crew = 5 offices in 6 hours
You want to find out the number of offices they can clean in 12 hours
6 (hours) is

of 12 (hours)
The opposite of

is 2
6 (hours) multiplied by 2 (opposite of

) is equal to
12
6 x 2 = 12, 12 = the number of offices you're trying to find.
Therefore, you need to multiple 5 by 2 (number that is double), so
5 x 2 = 10
The crew can clean 10 offices in 12 hours