Good evening ,
Answer:
<h2>x = 3 or x = -21</h2>
Step-by-step explanation:
x²+18x=63 ⇌ x²+18x+81 = 63 + 81
⇌ (x+9)² = 144 ⇌ (x+9)² = 12² ⇌ (x+9-12)(x+9+12) = 0
⇌ (x-3)(x+21) = 0
⇌ x=3 or x=-21.
:)
5 units. The only variable changing is x so it's just 5 units up from the second coordinate
Answer:
6 socks
Step-by-step explanation:
What we must do is calculate the probability of this happening, that he takes out two black socks in the first two taken out.
There are 12 black socks and in total they are 24, therefore the probability of drawing 1 is:
12/24
and now the probability of getting another one is 11 (there is one less outside) and in total they are 23:
11/23
the final probability is the multiplication of these events:
(12/24) * (11/23)
P = 0.24
Now, to know how many you should get, we multiply the probability by the total number of socks, that is:
0.24 * 24 = 5.76
So you must take out at least 6 socks for the above to happen.
The answer is 30.
First off, the numbers are consecutive even numbers. So, the difference between every consecutive number is 2 (numbers go from even to odd to even to odd...). Since the sum of their numbers is 96, I divided that by 3 to get 32. This gives me the median of the three numbers. To find the smallest number, I simply subtracted 2 from the 32.
This may help:
96/3=32
32 + 32 + 32 = 96
(32-2)+(32+0)+(32+2)=96
30+32+34=93
Answer:
-2/3
Step-by-step explanation:
because this is in slope intercept form, m is the slope, so in this case -2/3 is the slope
parallel lines always have the same slope and different y-intercepts
a parallel line could be y=-2/3 +15