2 years ago

Order the lengths of the sides of ABC from greatest to least.

Mathematics

2 answers:

Korvikt [17]2 years ago

8 0

1st.~ AC

2nd.~ BC

3rd.~ AB

deff fn [24]2 years ago

7 0

Greatest To Least 1. AC 2. BC 3. AB

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Evaluate the limit, if it exists.<br> lim (h - > 0) ((-7 + h)^2 - 49) / h

baherus [9]

Expand everything in the limit:

$\displaystyle\lim_{h\to0}\frac{(-7+h)^2-49}h=\lim_{h\to0}\frac{(49-14h+h^2)-49}h=\lim_{h\to0}\frac{h^2-14h}h$

We have $h$ approaching 0, and in particular $h\neq0$ , so we can cancel a factor in the numerator and denominator:

$\displaystyle\lim_{h\to0}\frac{h^2-14h}h=\lim_{h\to0}(h-14)=\boxed{-14}$

Alternatively, if you already know about derivatives, consider the function $f(x)=x^2$ , whose derivative is $f'(x)=2x$ .

Using the limit definition, we have

$f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h=\lim_{h\to0}\frac{(x+h)^2-x^2}h$

which is exactly the original limit with $x=-7$ . The derivative is $2x$ , so the value of the limit is, again, -14.

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2 years ago

Graph the solution<br> Look at pic <br> Answer is h>2

Leno4ka [110]

Make a point at 2, and make the arrow go to the right

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What is the slope of the line represented by the equation y=4/5x-3

vekshin1

Answer:

4/5

Step-by-step explanation:

slope is 4/5

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m = slope

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Step-by-step explanation:

Hopefully this helps!

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