Answer:
1) I just simply added the numerators because the denominators of both fractions are equal. As the denominators are same , I simply wrote 6 by taking the L.C.M of both denominators.
4)
![\frac{5x - 3}{6} + \frac{x - 9}{6}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5x%20-%203%7D%7B6%7D%20%20%2B%20%20%5Cfrac%7Bx%20-%209%7D%7B6%7D%20)
![= > \frac{5x - 3 + x - 9}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%5Cfrac%7B5x%20-%203%20%2B%20x%20-%209%7D%7B6%7D%20)
![= > \frac{6x - 12}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%5Cfrac%7B6x%20-%2012%7D%7B6%7D%20)
Taking 6 common from numerator,
![= > \frac{6(x - 2)}{6}](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20%20%5Cfrac%7B6%28x%20-%202%29%7D%7B6%7D%20)
Cancelling 6 from both numerator & denominator,
![= > x - 2](https://tex.z-dn.net/?f=%20%3D%20%20%3E%20x%20-%202)
<span>To find the total loss for this play, take the two values, find their signs (positive or negative), then sum them. In this case, the play itself resulted in a movement of -12.5 yards, and the penalty added a -5 yard movement to the result. This would lead to a total movement of (-12.5 + [-5]), or -17.5 yards.</span>
Answer:
8 lines
Step-by-step explanation:
5 yards = 4.572 meters
40 m /4.572 = 8.7489063867
8 lines
Answer:
x = -3.73 or -0.27
Step-by-step explanation:
From the question,
x²+ 4x+1 = 0
This is a quadratic equation, and it can be solved using any of the 3 methods.
Using completing the square method,
x²+4x = -1
Add half the coeffiecient of x, square it and add it to both side of the equation.
The coefficient of x is 4,
half the cofficient is 2
Add 2² to both side of the equation
x²+4x+2² = -1+2²
(x+2)² = 3
x+2 = ±√3
x+2 = ±1.73
Either,
x+2 = -1.73
x = -1.73-2
x = -3.73
or
x+2 = +1.73
x = =1.73-2
x = -0.27
Answer:
-4
Step-by-step explanation:
Wehn dealing with order of operations, we can remember the expression PEMDAS, which stands for parentheses, exponents, multiplication, division, addition, and subtraction.
So, our first step in the above problem is the parentheses:
![2(3-5)^3+4(-4+7)\\2(-2)^3+4(3)](https://tex.z-dn.net/?f=2%283-5%29%5E3%2B4%28-4%2B7%29%5C%5C2%28-2%29%5E3%2B4%283%29)
The second step is exponents:
![2(-2)^3+4(3)\\2(-8)+4(3)](https://tex.z-dn.net/?f=2%28-2%29%5E3%2B4%283%29%5C%5C2%28-8%29%2B4%283%29)
The third step is multiplication:
![2(-8)+4(3)\\-16+12](https://tex.z-dn.net/?f=2%28-8%29%2B4%283%29%5C%5C-16%2B12)
The fourth and final step is addition:
![-16+12\\-4](https://tex.z-dn.net/?f=-16%2B12%5C%5C-4)