Answer:
x=3/4
Step-by-step explanation:
Set up an equation:
1/6+x=1 2/3-x
1/6+x=5/3-x
1/6+x=10/6-x
2x=9/6
2x=3/2
4x=3
x=3/4
Check:
common denominator of 12
2/12+9/12=11/12 AND 20/12-9/12=11/12
The area of the triangle is
(1/2)*(6)*(7) = 21 cm²
The area of the square is
(2)(2) = 4 cm²
The area of the triangle that is not covered by the square is
21 - 4 = 17 cm²
The probability that the dot will be placed outside the square is
17/21
Answer: 17/21 (or 0.81)
Answer:
![\frac{5}{ {x}^{2} + 7x - 30}](https://tex.z-dn.net/?f=%20%20%5Cfrac%7B5%7D%7B%20%7Bx%7D%5E%7B2%7D%20%20%20%2B%207x%20-%2030%7D%20)
Step-by-step explanation:
We can write a rational function.
We need to make sure our denominator both have zeroes at 3 and 10.
Set an equation equal to zero to find the function
![0 - x = 3](https://tex.z-dn.net/?f=0%20-%20x%20%3D%203)
![0 - x = - 10](https://tex.z-dn.net/?f=0%20-%20x%20%3D%20%20-%2010)
![0 - ( - 3) = = 3](https://tex.z-dn.net/?f=0%20-%20%28%20-%203%29%20%3D%20%20%3D%203)
![0 - 10 = 10](https://tex.z-dn.net/?f=0%20-%2010%20%3D%2010)
So we would represent that's as
![x - 3](https://tex.z-dn.net/?f=x%20-%203)
and
![x + 10](https://tex.z-dn.net/?f=x%20%2B%2010)
Multiply the two binomial together.
![(x - 3)(x + 10) = {x}^{2} + 7x - 30](https://tex.z-dn.net/?f=%28x%20-%203%29%28x%20%2B%2010%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20%20-%2030)
Let our numbetator be any interger.
Use any equation as long as the quadratic is the denominator and the interger is the numerator.
![\frac{5}{ {x}^{2} + 7x - 30 }](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B%20%7Bx%7D%5E%7B2%7D%20%2B%207x%20-%2030%20%7D%20)
Answer:
and?
Step-by-step explanation:
E. negative one property of multiplication.