Remove the parentheses: ( a) = a
![\frac{6}{x+7} - \frac{3}{x-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%7D%7Bx%2B7%7D%20-%20%5Cfrac%7B3%7D%7Bx-2%7D%20)
Find the least common denominator:
![(x+7)(x-2)](https://tex.z-dn.net/?f=%28x%2B7%29%28x-2%29)
Adjust fractions based on the LCD :
![\frac{6(x-2)}{(x+7)(x-2)} - \frac{3(x+7)}{(x+7)(x-2)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B6%28x-2%29%7D%7B%28x%2B7%29%28x-2%29%7D%20-%20%5Cfrac%7B3%28x%2B7%29%7D%7B%28x%2B7%29%28x-2%29%7D%20)
![= \frac{6(x-2)-3(x+7)}{(x+7)(x-2)}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B6%28x-2%29-3%28x%2B7%29%7D%7B%28x%2B7%29%28x-2%29%7D%20)
Expand :
![6(x-2)-3(x+7)](https://tex.z-dn.net/?f=6%28x-2%29-3%28x%2B7%29)
<span>
![6 x - 12 - 3 x - 21](https://tex.z-dn.net/?f=6%20x%20-%2012%20-%203%20x%20-%2021)
</span>
![6x - 3 x - 12 - 21](https://tex.z-dn.net/?f=6x%20-%203%20x%20-%2012%20-%2021)
![3x - 33](https://tex.z-dn.net/?f=3x%20-%2033)
![\frac{3x-33}{(x+7)(x-2)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x-33%7D%7B%28x%2B7%29%28x-2%29%7D%20)
hope this helps!
Answer:
What is the question?
Step-by-step explanation:answer me
Answer:
9.125
Step-by-step explanation:
9.25 - 1/2 + 3/8 =
= 9.25 - 0.5 + 0.375
= 8.75 + 0.375
= 9.125
Answer:
Given equation: 2(x+7) = 36. ......[1]
Distributive Property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately i.e,
![a \cdot (b+c) =a\cdot b+ a\cdot c](https://tex.z-dn.net/?f=a%20%5Ccdot%20%28b%2Bc%29%20%3Da%5Ccdot%20b%2B%20a%5Ccdot%20c)
Then,
By using the distributive property in equation [1];
2(x+7) = 36
![(2 \cdot x) + (2 \cdot 7) =36](https://tex.z-dn.net/?f=%282%20%5Ccdot%20x%29%20%2B%20%282%20%5Ccdot%207%29%20%3D36)
Simplify:
![2x+14=36](https://tex.z-dn.net/?f=2x%2B14%3D36)
Divide both sides by 2 in above equation:
![\frac{2x+14}{2} =\frac{36}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2x%2B14%7D%7B2%7D%20%3D%5Cfrac%7B36%7D%7B2%7D)
Simplify:
x+7 = 18.
Therefore, the first correct step would be option B,
after that the next step would be option A then option F as shown above;
Remaining options are not enough information to solve the given equation 2(x+7) = 36.
Answer:
center point: (-4, 2)
radius: 8 units
Step-by-step explanation:
To find the radius of a figure in a coordinate plane, you have to do x-y where x is the starting point and y is the ending point. so in this case:
-4-(-12)
= -4+12
= 8