Answer:
C. x =(1±i√11)/3
Step-by-step explanation:
Use the quadratic formula to find the solutions.
(−b±√b²−4(ac))/2a
Substitute the values a=3, b=−2, and c=4 into the quadratic formula and solve for x.
2±√(−2)²−4⋅(3⋅4)2⋅3
Simplify.
x=(1±i√11)3
Please refer to the figure attached for the diagram of this problem.
Steps needed to find the width of the field (CD):
First, we should note that angle d would be equal to 27 degrees because there are two parallel lines that are cut by a transversal. Furthermore, angle a would be equal to 5 degrees since we just need to subtract 27 from 32.
We then subtract 27 and 5 from 180 to get angle c.
. Angle c is therefore 148 degrees.
Next, we need to find angle e which is just the supplementary of angle c. Angle e therefore measures
degrees.
For the next step we use sine law to find the length of segment AC:
Lastly, we need to utilize the sine law again to find the length of segment CD or the width of the field:
ANSWER: The width of the field is 290 ft.
Answer:
Linear
y = -30x + 100
Step-by-step explanation:
The table has a set of inputs with matching outputs. The behavior of the outputs will determine the type of function. The outputs appear to descend at a constant subtraction rate of -30 each time.
70 - 30 = 40
40 - 30 = 10
10 - 30 = -20
etc.
A constant addition or subtraction rate is a slope. Since the function has a slope, this is a linear function.
To write the function you'll need a slope and a y-intercept. Recall, the y-intercept is where x = 0. This is not in the table but can be found by reversing the process by adding 30 + 70 = 100.
Substitute m = -30 and b = 100 into y = mx+b for the equation.
y = -30x + 100