Express ratio 3.5:14 as 1:n
1 answer:
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Ok, here we go. Pay attention. The formula for the arc length is 
. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is 
(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of 
. Integrating that we have 
from -1 to 2. 
gives us 
. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: 
which simplifies to 
. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with . And there you go!
Answer:
Step-by-step explanation:
The given statement is;: 'I think of a number, multiply it by 3, add 4 & square the result.'
At first, let's take the unknown number as 'x' . (asked in the question).
So, the number we think about = x
Now, we need to multiply it by 3. So,
- 3 * x = 3x
In the next part, we need to add 4 to it so,
- 3x + 4
Now, by squaring the result, we'll get the expression as,
- <u>(3x + 4)²</u>
<u>____________</u>
Hope it helps!