Answer:
C. (x+3)^2 + (y-2)^2 = 225
Step-by-step explanation:
The equation of the circle is (x-h)^2 + (y-k)^2 = r^2
h=-3, k=2 and r=15
(x-(-3))^2 + (y-2)^2 =15^2
(x+3)^2 + (y-2)^2 = 225
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
A, B, and C.
Step-by-step explanation:
We have the equation:
Let’s distribute the left. This yields:
Let’s add 12 to both sides:
And subtract 4x from both sides:
We get the true statement 0=0.
Hence, A is correct.
Because it is a true statement, <em>any</em> input will yield an equivalent output.
Hence, B is also correct.
We also have the form a=a, where a is 0.
Hence, C is also correct.
Therefore, our correct answers are A, B, and C.
Answer:
(6x6x6x6)x(6x6)
Step-by-step explanation:
6 to the power of 4 times 6 to the power of 2
If a number a is to the power of b, that means a multiplied by itself, b times
eg 4 to the power of 3 means 4x4x4
hence, 6 to the power of 4 (or superscript four) means 6 itself, 4 times
so, 6x6x6x6 multiplied by 6x6
To find the percentage always multiply whatever decimal number you have by 100% <span>
1) 5 + 8 + 12 = 25 (total number in bag)
5/25 x 100% (because you're trying to find probability of red)
= 20%
2) 5 + 8 = 13 (# of red AND blue)
13/25 x 100% (divide out of the total)
=52%
3) 5/25 = 0.2 x 12/25 = 0.48 (find probability of drawing red and green)
0.2 x 0.48 x 100%
= 9.6%
4) 10 + 12 + 28 = 50 (to find total number of trials)
28/50 x 100%
= 56%
5) 5 x 7 (number of sections on first spinner multiply by # of sections on second spinner)
= 35</span><span>Its B 20%
</span>