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2 years ago

An equation of a line perpendicular to the line represented by the equation y=-1/2x-5 and passing through (6,-4)

Mathematics

1 answer:

marysya [2.9K]2 years ago

7 0

Answer:

y = 2x - 16

Step-by-step explanation:

Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE Rate of Changes [Slopes]:

-½ → 2

-4 = 2[6] + b

-16 = b

y = 2x - 16 >> Perpendicular Line in Slope-Intercept Form

I am joyous to assist you anytime.

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2 years ago

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poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

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Given that

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Then AB=10 in

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Please help! thanks so much

Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that $\lim_{x \to 2} (f(x))= -1$ .

Thus, for the question, we can just plug -1 in:

$\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1} =und.$

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, $f(x)$ will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

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This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

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