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2 years ago

11

(12 + 31). Find the midpoint m of 21 (8 + 5i) and 22 Express your answer in rectangular form.

1 answer:

In-s [12.5K]2 years ago

7 0

I think the answer is 12

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What is the value of x and y? <br><br> HELP ME OUT BRO PLEASE THIS IS DUED BY 9 pm ughhh

Rufina [12.5K]

Answer:

x = 4 y = 2✓3

Step-by-step explanation:

I'm big brain

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3 years ago

Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles.

ryzh [129]

Well, an interior angle plus an exterior angle has to equal 180°. Also, the sum of the interior angles is represented by this formula: [-2 + n]180, whereas the sum of the exterior angles all add up to 360°, and is represented by this formula: 360/n [let "n" represent the number of sides in every polygon].

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3 years ago

Because of their connection with secant lines, tangents, and instantaneous rates, limits of the form ModifyingBelow lim With h

Gre4nikov [31]

Answer:

$\dfrac{1}{2\sqrt{x}}$

Step-by-step explanation:

$f(x) = \sqrt{x} = x^{\frac{1}{2}}$

$f(x+h) = \sqrt{x+h} = (x+h)^{\frac{1}{2}}$

We use binomial expansion for $(x+h)^{\frac{1}{2}}$

This can be rewritten as

$[x(1+\dfrac{h}{x})]^{\frac{1}{2}}$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}$

From the expansion

$(1+x)^n=1+nx+\dfrac{n(n-1)}{2!}+\ldots$

Setting $x=\dfrac{h}{x}$ and $n=\frac{1}{2}$ ,

$(1+\dfrac{h}{x})^{\frac{1}{2}}=1+(\dfrac{h}{x})(\dfrac{1}{2})+\dfrac{\frac{1}{2}(1-\frac{1}{2})}{2!}(\dfrac{h}{x})^2+\tldots$

$=1+\dfrac{h}{2x}-\dfrac{h^2}{8x^2}+\ldots$

Multiplying by $x^{\frac{1}{2}}$ ,

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}=x^{\frac{1}{2}}+\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}=\dfrac{h}{2x^{\frac{1}{2}}}-\dfrac{h^2}{8x^{\frac{3}{2}}}+\ldots$

$\dfrac{x^{\frac{1}{2}}(1+\dfrac{h}{x})^{\frac{1}{2}}-x^{\frac{1}{2}}}{h}=\dfrac{1}{2x^{\frac{1}{2}}}-\dfrac{h}{8x^{\frac{3}{2}}}+\ldots$

The limit of this as $h\to 0$ is

$\lim_{h\to0} \dfrac{f(x+h)-f(x)}{h}=\dfrac{1}{2x^{\frac{1}{2}}}=\dfrac{1}{2\sqrt{x}}$ (since all the other terms involve $h$ and vanish to 0.)

8 0

2 years ago

Find the value of the trigonometric ratio, tan M.

Vanyuwa [196]

Answer:

tan M = $\frac{a}{b}$

Step-by-step explanation:

tan M = $\frac{opposite}{adjacent}$ = $\frac{LN}{MN}$ = $\frac{a}{b}$

4 0

2 years ago

Read 2 more answers

URGENT!!!! WILL GIVE BRANLIEST !!! AT LEAST TAKE A LOOK!!!!!!

Fofino [41]

Answer:

A. 12.6 ft

Step-by-step explanation:

Using sin because of opposite over hypotenuse, you can find x.

sin(52) = x/16

16sin(52) = x

<em>Plug it into your calc.</em>

x = 12.6082

And you have your final answer.

8 0

3 years ago