Answer:
A (2, -8/5)
Step-by-step explanation:
The answer would be A I believe. This is because to get from C to D, it would be going down 6 and to the right by 10.
To make CP = 3/5CD. We multiply how much we move by 3/5:
-6 * 3/5 = -18/5 (note that the 6 would be negative because its going down)
and 10 * 3/5 = 6
Then we add these values to the coordinates of C:
(-4 + 6, 2 - 18/5) =
(2, -8/5). So A would be the answer.
Prove:
Using mathemetical induction:
P(n) = 
for n=1
P(n) =
= 6
It is divisible by 2 and 3
Now, for n=k, 
P(k) = 
Assuming P(k) is divisible by 2 and 3:
Now, for n=k+1:
P(k+1) = 
P(k+1) = 
P(k+1) = 
Since, we assumed that P(k) is divisible by 2 and 3, therefore, P(k+1) is also
divisible by 2 and 3.
Hence, by mathematical induction, P(n) =
is divisible by 2 and 3 for all positive integer n.
Answer:
16
Step-by-step explanation:
To get the next number just mulitply by 4
4*4=16
( just to make sure we're correct)
16*4=64
64*4=256
256*4=1024
1024*4=4096
It would be
, or, in simplest form,
.
You get this by adding all the marbles to find the total number of marbles. <em>10+7+12+9</em>, which equals <em>38</em>.
You have <u>10 red marbles out of 38 total</u>, so that is represented by
!
9514 1404 393
Answer:
x = 15
Step-by-step explanation:
<u>Given</u>:
∠1 + ∠2 = 90°
∠1 = 45°
∠2 = 3x°
<u>Find</u>:
x
<u>Solution</u>:
Using the given values in the given equation, we have ...
45° +3x° = 90°
15 + x = 30 . . . . . . divide by 3°
x = 15 . . . . . . . . . . . subtract 15