Answer:
15th term =29/3
16th term = 31/3
Step-by-step explanation:
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d .
First we find the 15th term
n=15
a1=1/3
d=1 - 1/3 = 2/3
Solution
1/3+(15-1)2/3
1/3+28/3
(1+28)/3
29/3
Lets find the 16th term
1/3+(16-1)2/3
1/3+30/3
(1+30)/3
31/3
Answer:
D. Figure C is translated 7 units to the left and 3 units up.
Step-by-step explanation:
I hope this helps. I am sooo sorry nobody answered you quick enough. :) I hope you have had a wonderful day!
Answer:
Does 2⁸ = (3√16)⁶? No.
Step-by-step explanation:
2⁸ = (3√16)⁶
Evaluate 2⁸. This can simply be written out as:
2 * 2 * 2 * 2 * 2 * 2 * 2 * 2
4 * 2 * 2 * 2 * 2 * 2 * 2
8 * 2 * 2 * 2 * 2 * 2
16 * 2 * 2 * 2 * 2
32 * 2 * 2 * 2
64 * 2 * 2
128 * 2
256.
256 = (3√16)⁶
Evaluate √16.
256 = (3*4)⁶
Multiply 3 and 4.
256 = 12⁶
Evaluate 12⁶. This can be rewritten as:
12 * 12 * 12 * 12 * 12 * 12
144 * 12 * 12 * 12 * 12
1728 * 12 * 12 * 12
20736 * 12 * 12
248832 * 12
2985984.
Since 256 ≠ 2985984, the answer to this question is no.
The values of the letters in coordinates (a, b) and (c,d) are;
<u><em>a = -4</em></u>
<u><em>b = -6</em></u>
<u><em>c = 2</em></u>
<u><em>d = 6</em></u>
<u><em /></u>
We are given two equations;
-6x + 3y = 6 ---(eq 1)
x² + y = 10 ---(eq 2)
- We are told that they intersect at coordinates; (a, b) and (c, d).
Let us make y the subject in eq 2 to get;
y = 10 - x² --(eq 3)
- Let us put 10 - x² into eq 1 to get;
-6x + 3(10 - x²) = 6
expanding further gives;
-6x + 30 - 3x² = 6
rearranging gives;
3x² + 6x - 24 = 0
Using online quadratic equation <em>solver</em>, we have;
x = -4 and x = 2
Putting x = -4 into eq 3 gives;
y = 10 - (-4)²
y = 10 - 16
y = -6
Putting x = 2 into eq 3 gives;
y = 10 - (2)²
y = 10 - 4
y = 6
- Thus, the coordinates are; (-4, -6) and (2, 6)
Comparing with (a, b) and (c,d), we have;
a = -4
b = -6
c = 2
d = 6
Read more at; brainly.com/question/15165519
-24x + 8y = 16
+24x +24x
8y = 16 + 24x
8y/8 = 16/8 + 24x/8
y = 2 + 3x
Answer: y = 2 + 3x
