Answer:
x = - 1, x = - 11
Step-by-step explanation:
Given
2| x + 6 | - 4 = 6 ( add 4 to both sides )
2|x + 6 | = 10 ( divide both sides by 2 )
| x + 6 | = 5
The absolute value function always gives a positive result, but the expression inside can be positive or negative, that is
x + 6 = 5 or - (x + 6) = 5
solve both
x + 6 = 5 ( subtract 6 from both sides )
x = - 1
or
- (x + 6) = 5 , that is
- x - 6 = 5 ( add 6 to both sides )
- x = 11 ( multiply both sides by - 1 )
x = - 11
Answer:
y=3/-1x+4
Step-by-step explanation:
Okay so first thing you need to know is that if there is an ordered pair (x, y) where x is 0, your y-intercept is your y. For example, your problem has (0, 4) your x is 0 and your y is 4. Therefore your y-intercept is 4 which is the b. To find your mx, or slope, you need to do (y2-y1)/(x2-x1). Your y2 will be your y in your second ordered pair and your y1 will be in your y in the first ordered pair. Same for your x. So, (4-1)/(0-1) which equals 3/-1. 3/-1 is your slope. So, your answer in slop intercept form is: y= 3/-1x+4. You could also try y= -3x+4 if that makes you more comfortable.
I know this is long this is my first time doing this lol.
If C is between A and B, then, we can write the equation
![AB = AC + CB](https://tex.z-dn.net/?f=AB%20%3D%20AC%20%2B%20CB)
Substitute the value of AB and the expressions for AC and CB in terms of x.
![40 = (2x+10)+(3x-5)](https://tex.z-dn.net/?f=40%20%3D%20%282x%2B10%29%2B%283x-5%29)
We can now solve for x.
![40-10+5= 2x+3x](https://tex.z-dn.net/?f=40-10%2B5%3D%202x%2B3x)
![35=5x](https://tex.z-dn.net/?f=35%3D5x)
Dividing by 5.
![7=x](https://tex.z-dn.net/?f=7%3Dx)
![AB=40](https://tex.z-dn.net/?f=AB%3D40)
![AC=2(7)+10](https://tex.z-dn.net/?f=AC%3D2%287%29%2B10)
![AC=14+10](https://tex.z-dn.net/?f=AC%3D14%2B10)
![AC=24](https://tex.z-dn.net/?f=AC%3D24)
![BC=3(7)-5](https://tex.z-dn.net/?f=BC%3D3%287%29-5)
![BC=21-5](https://tex.z-dn.net/?f=BC%3D21-5)
![BC=16](https://tex.z-dn.net/?f=BC%3D16)
Answer:
42 Blades
Step-by-step explanation:
So 6 blades on each windmill
6=1 Windmill
so 7 windmills
so do
7 times 6 = 42 Blades