Answer:
The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D
Step-by-step explanation:
Given equation as :
x² - 8 x + 41 = 0
For quadratic equation ax² + b x + c = 0
The value of x =
∴ For equation x² - 8 x + 41 = 0
Or, x =
Or, x = 
Or, x = 
∴ x = ( 4 + 2 i ) , ( 4 - 2 i )
Hence The value of x fro the given equation is ( 4 + 2 i ) , ( 4 - 2 i )
I.e option D Answer
Answer:
1. H = 29 cm
2. θ = 44°
Step-by-step explanation:
1. We can find the height of the triangle by considering the isosceles triangle as two right triangles. The height can be found by using Pitagoras:

Where:
L: is the sides of the isosceles triangle = 42 cm
B: is the base = 30 cm
H: is the height =?
Then, the height is:

2. The two equal angles (θ) can be found using the following trigonometric identity:


Hence, the two equal angles are 44°.
I hope it helps you!
Answer:
a) 1st and 2nd
b) 4th one
Step-by-step explanation:
In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].
What is an equation?
- Math can be used to analyze an equation or a set of equations.
- An equation is a sentence that maintains the equivalence of two expressions. Most of the time, it is easy to solve the arithmetic equations given in an exact manner.
- While perfect solutions can occasionally be found, it is more typical to find approaches that are just as accurate. It speaks to the particular guidelines for quadratic mathematical equations.
A movie ticket cost $4.25 in 1990.
The inflation rate is about 3.5%
Rate increased ,r=100%+3.5%=103.5%=1.035
equation generated is,
y=4.25[(1.035)^x]
Solving the equation for each year, we get the following data:
Tabulating the data
Year cost
1990 4.25
1991 ....
.... ....
1998 5.5964~ 5.6
In the year 1998, the will be greater than $5.50.
To learn more about equations visit:
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Answer: See below.
Step-by-step explanation:
The formatting is likely incorrect for these two options:
y=(x−1)2, and
y = ( x − − 1 ) 2
I'll assume they were meant to be:
y=(x−1)^2, and
y = ( x + 1 )^2
In this case they would be non-linear, since y depends on the value of 
Use a "^" sign to indicate raised to a power: x^2 means
.
y=(x−1)2 means y = 2x - 2
y=(x−1)^2 means y = 