9514 1404 393
Answer:
x = 7
Step-by-step explanation:
You solve a linear equation by putting the variable on one side of the equal sign and a constant on the other side. Here, variables and constants are on both sides of the equal sign, so you need to separate them.
The basic idea is that you add the opposite of any term you don't want. Whenever you perform any operation (like "add"), <em>you must do it to both sides of the equation</em>.
We observe that x-terms have coefficients of 10 and 9. We choose to add the opposite of 9x to both sides:
10 -9x -5 = 9x -9x +2
x -5 = 2 . . . . simplify
Now, we still have -5 on the left, where we don't want it. So, we add its opposite (+5) to both sides:
x -5 +5 = 2 +5
x = 7 . . . . simplify
The solution is x = 7.
_____
<em>Additional comment</em>
If we were to end up with an x-coefficient other than 1, we would divide both sides of the equation by that coefficient. This will leave the x-term with a coefficient of 1.
15,000/30,000
0.50
50%
Hope this helps!
Answer:
21.8° (22° to the nearest degree)
Step-by-step explanation:
Using cosine law:
a² = b² + c² - 2bc(cosA)
3² = 5² + 7² - 2(5)(7)cosA
cosA = 13/14
A = 21.7867893
Approximately angle: 22°
Answer:
10.12 
Step-by-step explanation:
Given:
- 0.07 cm thick = 0.007m and it is dr (the change in radius)
As we know that, the volume of a hemispherical dome with diameter 48 m is:
- V =
π
Take the derivative of V we have:
= 2π
<=> dV = 2π*dr
<=> dV = 2π*
*0.0007 = 10.12
Hope it will find you well.
#30 and #31 are in y = mx + b. m = slope, and b = y-intercept.
30. slope = 2/3 y-intercept = 1
31. Slope = -9/5 y-intercept = -4
To make the x's get on the right side of the equal sign, subtract it on both sides.
32. 6x - y = -2
32. 6x - y - 6x = -2 - 6x
32. y = 6x - 2
