In order to combine fractions, they need to have the same denominator.
To figure out what value to make the denominator, find the least common denominator of 4 and 5:
4: 4, 8, 12, 16, <u>20</u>
5: 5, 10, 15, <u>20</u>
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The LCD is 20, so multiply 4/5 by 4/4 and -1/4 by 5/5 to make the denominator = 20
![(\frac{4}{4} )\frac{4}{5} -(\frac{5}{5} )\frac{1}{4} =](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B4%7D%20%29%5Cfrac%7B4%7D%7B5%7D%20-%28%5Cfrac%7B5%7D%7B5%7D%20%29%5Cfrac%7B1%7D%7B4%7D%20%3D)
Now combine the fractions
![\frac{16}{20}- \frac{5}{20} =\frac{11}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B20%7D-%20%5Cfrac%7B5%7D%7B20%7D%20%3D%5Cfrac%7B11%7D%7B20%7D)
Answer:
See below ↓↓
Step-by-step explanation:
<u>Finding x</u>
- Both the angles containing the x variable are on the same side of the transversal
- There is a property which states that : two angles on the same side of the transversal are supplementary
- Therefore, they add up to 180°
- ⇒ 8x + 12 + 2x + 18 = 180
- ⇒ 10x + 30 = 180
- ⇒ 10x = 150
- ⇒ <u>x = 15</u>
<u></u>
<u>Finding y</u>
- The angles at the top are vertically opposite angles (VOA), meaning that they are equal
- ⇒ 8x + 12 = 3y - 18
- ⇒ 3y = 8(15) + 12 + 18
- ⇒ 3y = 120 + 30
- ⇒ 3y = 150
- <u>⇒ y = 50</u>
Height in feet is represented by ![f(x) = -16(x^2-5x-6)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16%28x%5E2-5x-6%29)
The height of the ball is 0 feet when it hits the ground.
So we replace height f(x) by 0 and solve for x to find the time taken to reach the ground
![f(x) = -16(x^2-5x-6)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-16%28x%5E2-5x-6%29)
( divide by -16 on both sides)
![0=(x^2-5x-6)](https://tex.z-dn.net/?f=0%3D%28x%5E2-5x-6%29)
Now factor it
(x-6)(x+1) =0
x-6 =0 and x+1=0
x=6 and x=-1
Time cannot be negative so we ignore -1
x = 6 seconds
It will take 6 seconds for the ball to reach the ground.
Step-by-step explanation:
2 2 4
_ x _ = _
10 1 10
2 3 6
_ x _ = _
10 1 10
2 4 8
_ x _ = _
10 1 10
2 5 10
_ x _ = _
10 1 10
This does not represent a function because when you subtract 12.25-10 you get 2.25 it when you subtract 5.60-4.25 you get 1.35 The number that you get must be the same for it to be a function.