W=20.3
solve what's in the parenthesis, move the terms, calculate, then divide both sides.
Answer:
20.3
Step-by-step explanation:
I did it and it was right on khan
Naturally, a pyramid of zero layers doesn't need any snowballs, so P(0) = 0. Then using the given recurrence, we find
P(1) = 1
P(2) = 1 + 4 = 5
P(3) = 1 + 4 + 9 = 14
P(4) = 1 + 4 + 9 + 16 = 30
and so on; luckily, three of these are listed among the answer choices, which leaves 25 as an insufficient number of snowballs to make such a pyramid.
More generally, we would end up with
Then given some number of snowballs S, you could try to solve for n such that
S = n (n + 1) (2n + 1)/6
and any S that makes n a non-integer would be the answer.
B. . . 72.8%. . . . . . . . .
C. . . 75%. . . . . . . . .
D. . . 81.7%. .
-3x + 2y = 9
A. (3,9)
B. (-27,9)
C. (-3,-6)
D. (-9,9)
Answer:
(-9,-9)
Explanation:
The two given equations are:
3x - 4y = 9
-3x + 2y = 9
First step is to add the two equations in order to eliminate the x.
This will give us:
-4y + 2y = 9 + 9
-2y = 18
y = -9
Now, we substitute with the value of y in any of the equations to get x as follows:
3x - 4y = 9
3x - 4(-9) = 9
3x + 36 = 9
3x = -27
x = -9
Hope this helps :)
a) a reflection over the y-axis
b) a reflection over y = x
c) a rotation of 90° about the origin
d) a reflection over the x-axis
Step-by-step explanation:
Point A = (-1, -3).
Midway of AB = (-3, 2).
Let Point B = (x, y).
Then (-1, -3) - (-3, 2) = (-3, 2) - (x, y).
=> (2, -5) = (-3-x, 2-y).
We have -3 - x = 2 and 2 - y = -5.
So x = -5 and y = 7.
Hence, point B = (-5, 7).