Answer:
301.4
Step-by-step explanation:
V=πr^2*h/3 3.14*6^2*8/3=301.4
Answer:
Step-by-step explanation:
In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.
Slope intercept form is usually in the form , where m is the slope and b is the y-intercept.
Let's algebraically manipulate this problem so we solve for y.
-
- <em>(Subtract 7x from both sides)</em>
- <em>(Divide both sides by -2)</em>
- <em>(Rearrange the equation</em>)
From here, we can now see our equation is , in the form . Since m is the slope, and is m, our slope is .
Hope this helped!
Given:
The sequence is 5, 15, 25, ... .
To find:
The explicit formula for the nth term of the given sequence.
Solution:
We have,
5, 15, 25, ...
It is an AP because the difference between two consecutive terms are same.
Here,
First term : a = 5
Common difference : d = 15 - 5 = 10
Now, the explicit formula for the nth term of an AP is
Where, a is the first term and d is the common difference.
Therefore, the required explicit formula for the given sequence is .
Answer:
Option A. –2 – 2√2
Step-by-step explanation:
√8 / √2 – 2
The above expression can be simplified as follow.
√8 / (√2 – 2)
Rationalise by multiplying the numerator and denominator with the conjugate of (√2 – 2) i.e (√2 + 2). This is illustrated below:
√8 / (√2 – 2) × (√2 + 2)/(√2 + 2)
√8(√2 + 2) / (√2 – 2)(√2 + 2)
√16 + 2√8 / 2 + 2√2 – 2√2 – 4
√16 + 2√8 / 2 – 4
√16 + 2√8 / –2
Recall
√16 = 4
√8 = √(4×2) = √4 × √2 = 2√2
Thus,
√16 + 2√8 / –2 = 4 + 2×2√2 / –2
= (4 + 4√2) / –2
= 4/–2 + 4√2/–2
= –2 – 2√2
Therefore,
√8 / (√2 – 2) = –2 – 2√2
Thus, option A gives the correct answer to the question.
What’s the ?hfjejehhehehsjsjajs