What is the solution for this equation? 3x - 1 = 5x - 11

2 answers:

7 0

Hi there.

3x - 1 = 5x - 11; get the variables to the same side, so subtract 3x from both sides.

2x - 11 = -1; add 11 to both sides to isolate our variable.

2x = 10; divide both sides by 2 to solve for our variable.

x = 5 is your answer.

I hope this helps!

Gennadij [26K]3 years ago

3 0

3x - 1 = 5x - 11
Add 1 to both sides.
3x = 5x - 10
Subtract 5x from both sides.
-2x = -10
Divide by -2.

x = 5

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An ellipse has a vertex at (14, –1). The focus of the ellipse nearest that vertex is located at (8, –1). If the center of the el

zavuch27 [327]

Refer to the diagram shown below.

The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15

The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.

The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.

Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5

Answer: x = -27/5