Answer:
7√6 - 5√7
Step-by-step explanation:
5√7 + 12√6 - 10√7 - 5√6 (rearranging)
= (5√7 - 10√7) + (12√6 - 5√6) (factor out √6 and √7 respectively)
= (5 - 10) √7 + (12 - 5)√6
= -5√7 + 7√6 (rearrange)
= 7√6 - 5√7
I am pretty sure it is B.
Answer:
y=4x+2
Step-by-step explanation:
To find the slope of a line, you would do y₂-y₁/x₂x₁
This would be 2-6/0-1...
So your answer would be -4/-1
After simplifying, your slope is 4.
To write this in slope-intercept form, that would be y=4x+2
The slope of both lines will be the exact same.
hope this helps :)
Answer:
x = ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x = ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
|
+ 4 | = |
| = ![\frac{17}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D)
right side =
- 5 = ![\frac{17}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D)
left side = right side , thus x =
is a solution
check second solution
|
+ 4 | = |
| = ![\frac{17}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D)
right side =
- 5 = - ![\frac{17}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B4%7D)
right side ≠ left sides, hence not a solution