How do i solve this?

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

The corresponding segments are proportional, so you can write any of several equations relating the different segment lengths. Here's one way:

top segment/bottom segment = x/(x+5) = (x-2)/(x+1)

Multiply by the product of denominators:

(x +1)x = (x +5)(x -2)

x² +x = x² +3x -10 . . . . . eliminate parentheses

10 = 2x . . . . . . . . . . . . . . add 10 -x -x² to both sides of the equation

5 = x . . . . . divide by 2

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Can someone Answer this?

Misha Larkins [42]

Answer:

The limit of the function as x approaches 1 is ∞

Vertical asymptote; x = 1

Step-by-step explanation:

The graphical approach to evaluating limits involves graphing the function, the graph of the function $\frac{1}{(x-1)^{2} }$ is contained in the attachment below.

The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.

Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given