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iren [92.7K]
3 years ago
13

X-2=144Find all complex number solutions

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0
Hey!


To start solving for x you'd need to add two to both sides of the equation. This will give us the variable, x, on its own.

Original Equation :
x - 2 = 144

New Equation {Added Plus Both Sides by Two} :
x - 2 + 2 = 144 + 2

Solutions {New Equation Solved} :
x = 146

So, since the answer can be simplified no longer, our final answer is x = 146.

Hope this helps!


— Lindsey Frazier ♥️
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the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2
Ksivusya [100]

Answer:

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1.

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is \frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1.

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,  

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by b^{2} = a^{2}(e^{2}  - 1) = 4[(\frac{5}{2} )^{2} -1] = 21 {Since e = \frac{5}{2} given}

Therefore, the equation of the given hyperbola will be  

\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1. (Answer)

6 0
3 years ago
Whoever answers first gets the brainliest Given : f(x)=-|x+9|
Mamont248 [21]

Answer:

See below.

Step-by-step explanation:

f(x) = -|x + 9|

compared to

f(x) = |x|

has a graph that opens downward in an upside down V shape.

It has been moved 9 units left compared to the graph of f(x) = |x|.

It reflects over the x-axis.

6 0
3 years ago
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