If you're asking us to solve for Z...
z² + 11z = -21/4
4z² + 44z + 21 = 0
Enter... *drumroll* the quadratic equation!
(that's a plus or minus, sorry)
x = -0.5 or -10.5
Does this help? Is it too complicated? Do you have any questions?
I must assume that you meant 2x - 3y = 9.
A line parallel to this line has exactly the same format, but a different constant on the right: 2x - 3y = c. Substituting the given values of x and y, we get:
2(4) - 3(-1) = 8+3 = 11. Thus, c = 11, and the equation of the new parallel line is
11 - 2x
2x - 3y = 11. Solving for y, -3y = 11 - 2x, or y = -------------
-3
so the slope of the parallel lilnes is 2/3.
A line perpendicular to the given line has a slope which is the negative reciprocal of 2/3: -3/2.
This perpendicular line has the equation
y + 1 = (-3/2)(x-4) (point-slope form), or
2y + 2 = -3(x-4) = -3x + 12. Then 2y = -3x + 12, and y = (-3/2)x + 6 (the perpendicular line's equation)
Answer:
f'(x) = 2x +
Step-by-step explanation:
differentiate using the power rule
( a ) = na
Given
f(x) = x² - + 9 = x² - 4 + 9 , then
f'(x) = 2x + 12 = 2x +
P(Tails) = 1/2
P(2 Tails) = P(Tails) * P(Tails)
P(2 Tails) = 1/2 * 1/2 = 1/4
Answer:
12 meters
Step-by-step explanation:
Area = length × width. If we divided 96 (area) by 8 (width) we should get the length. 98 ÷ 8 = 12.