Start by multiplying both sides by R to isolate V².
V² = P·R
Now, take the square root of both sides to get V.
V = √PR
Forget about the negative sign. First you have to find a least common denominator. This would be 63. Since we had to multiply 9 by 7 to get 63 we have to multiply the numerator (4) by 7. This gives us a new fraction of 36/63. Since we ha e to multiply 21 by 3 to get 63 we have to multiply 19 by 3. This gives us 57. So now we have 36/63 and 57/63. Then we add the negative sign back in making 57/63 -57/63. Now we add them together. Because one has a negative sign and one is positive the number has to be closer to zero. So the answer is -21/63.
Answer:
![\displaystyle m=2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Slope Formula:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (6, 2)
Point (9, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
![\displaystyle m=\frac{8-2}{9-6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B8-2%7D%7B9-6%7D)
- [Fraction] Subtract:
![\displaystyle m=\frac{6}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B6%7D%7B3%7D)
- [Fraction] Divide:
![\displaystyle m=2](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D2)
<span>The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, ... Which statement describes the recursive function used to generate the sequence?
<span>A. The common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14.
</span><span>B. The common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10.
</span><span>C. The common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14.
</span><span>D. The common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.
</span></span>
n = # of days
45 = 2.5n + 2n
45 = 4.5n
n = 10
He can paint 45 structures in 10 days