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Answer:
z=1.5
Step-by-step explanation:
Simplifying
6z + 3 + -4z = 9
Reorder the terms:
3 + 6z + -4z = 9
Combine like terms: 6z + -4z = 2z
3 + 2z = 9
Solving
3 + 2z = 9
Solving for variable 'z'.
Move all terms containing z to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2z = 9 + -3
Combine like terms: 3 + -3 = 0
0 + 2z = 9 + -3
2z = 9 + -3
Combine like terms: 9 + -3 = 6
2z = 6
Divide each side by '2'.
z = 3
Simplifying
z = 3
Answer:
Step-by-step explanation:
<u>How do you find the equation of a line parallel to another line?
</u>
<em>Method 1:</em> Using Slope Intercept Form
Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b.
Substitute the given point (1,7) into the x and y values 7 = 3(1) + b.
Solve for b (the y-intercept)
Substitute this value for 'b' in the slope intercept form equation y = 3x + 4.
<u>How do you find the Y intercept of a parallel line?
</u>
Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.
Tan(x) = opp/adj
tan(30°) = 9/n
n x √3/3 = 9
3n x √3 = 27
3√3n = 27
√3n = 9
n = 9/√3
Answer:
<u>The correct answer is A. 1 +/- i √31/2</u>
Step-by-step explanation:
Let's use the quadratic formula to solve the equation:
x² - x + 8 = 0
Let's recall that the quadratic equation is:
x = (-b +/- √(b² - 4ac))/2a
In the equation, a = 1, b = -1, c = 8.
Replacing with the real values, we have:
x = (-b +/- √(b² - 4ac))/2a
x = (- (-1) +/- √(-1² - 4 (-1) (8)))/2(1)
x = (1 +/- √( 1 - 32)/2
x = (1 +/- √( - 31)/2
x = (1 +/- √( -1 * 31)/2
Let's recall that √ -1 = i
x = 1 +/- i √ 31/2
<u>The correct answer is A. 1 +/- i √31/2</u>
