What types of solutions does this equation have?
1 answer:
Answer:
Two imaginary solutions.
Step-by-step explanation:
In order to simplify the equation, we square root both sides. As the argument (value in the root) is negative, and we know that the square root function's domain is only positive numbers, we would have two imaginary solutions.
This would be positive/negative .
Another way to visualize this is by looking at the parabola's graph. Through algebraic manipulation, we know that the parabola is z^2 + 45. This parabola never crosses the x-axis. Therefore there are two solutions that are imaginary.
I hope this helps!
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Answer:
The solution to the system of equations be:
- x = 3
- y = 9
Step-by-step explanation:
Given the system of equations
x + y = 12
-x + 2y = 15
Let us solve the system of equations by elimination
adding the equations
solve 3y = 27 for y
divide both sides by 3
Simplify
For x+y=12 plug in y = 9
Subtract 9 from both sides
Simplify
Therefore, the solution to the system of equations be:
- x = 3
- y = 9
Answer:
24.03 units (nearest hundredth)
Step-by-step explanation:
The distance between B and A is: AB = AH + HB
We have been given AH, so we just need to find the measure of HB.
First, find the angle AOH using tan trig ratio:
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
Given:
- O = AH = 8
- A = OH = 19.80
∠BOA = ∠BOH + ∠AOH
⇒ ∠BOH = ∠BOA - ∠AOH
⇒ ∠BOH = 61° - 22.00069835°
= 38.99930165°
Now we can find HB by again using the tan trig ratio:
Given:
- O = HB
- A = OH = 19.80
Substituting given values:
Therefore:
AB = AH + BH
⇒ AB = 8 + 16.03332427
= 24.03 units (nearest hundredth)
