Answer:
13/1*7/4
Step-by-step explanation:
The way you get this is by using the Keep, Change, Flip Method. 13 as a fraction would be 13/1, and this is the keep phase. The change phase is where you change division to multiplication. The flip phase is when we flip the numerator and denominator. Remember, this only works when dividing fractions.
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
Answer:
97,99,101,103
Step-by-step explanation:
Let x = first odd integer
x+2 = 2nd odd integer
x+4 = 3rd odd integer
x+6 = 4th odd integer
Sum of 4 odd integers is 400
x+ (x+2) + (x+4)+(x+6) = 400
Combine like terms
4x +12 = 400
Subtract 12 from each side
4x+12-12 = 400-12
4x = 388
Divide by 4 on each side
4x/4 = 388/4
x=97
The first integer is 97
The 2nd is 97+2 =99
The third ix 97+4 = 101
The 4th is 97+6 = 103
Answer:
Step-by-step explanation:
Mark any two point on the line
(-1 , 0) & (-3 , -1)
Slope = 
![= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-1-0%7D%7B-3-%5B-1%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-3%2B1%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-2%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D)
m = 1/2 ; (-1 , 0)
Equation: 
![y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20-%200%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20-%20%5B-1%5D%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20%2B%201%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7D)
