The next number in the sequence should be 333.111
Answer:
1/2 * (?)
Step-by-step explanation:
Divide (?) Cakes in half
<h2><u>Question</u> :</h2>
If a⁵ = 3⁵, simplify (2a)⁷ ?
- 3⁷
- 3⁸
- 6⁶
- 6⁷
<h2><u>Answer</u> :</h2>
- D option 6⁷ is the right answer.
<h2><u>Explanation</u> :</h2>
<h3>Given :</h3>
<h3>To Find :</h3>
<h3>Solution :</h3>
As, we have a⁵ = 3⁵
We know that if powers are equal then the base are also equal. In a⁵ = 3⁵, powers are equal on both sides so base will also be equal.
∴ a = 3
Now, we have to find (2a)⁷, so by substituting a = 3, we have :
⟹ (2a)⁷ = (2 × 3)⁷
⟹ (2a)⁷ = (6)⁷
⟹ (2a)⁷ = 6⁷
Therefore, correct answer is 6⁷.
Hence, correct option is D.
Perpendicular lines have slopes that are the negative reciprocals of each others slopes. this means that you can:
1. write the slope as a fraction (if not already one),
2. flip the fraction over
3. multiply the fraction by - 1
4. And you have perpendicular lines slope.
so the slope of this line is - 1 so:
1. - 1 = - 1/1 convert to fraction
2. - 1/1 = - 1/1 flip but this case stays same
3. - 1/1 * - 1 = 1 multiply by - 1
4. slope is 1
we have slope and point so we can plug into equation:
y = mx + b
with m as slope and b is y intercept.
plug values:
4 = 1 * (- 2) + b
6 = b
so y intercept would be (0,6)
