How do I calculate the Pythagorean theorem?

1 answer:

7 0

A^2 + b^2 = c^2
A*2 b*2
When you get the final answer of a and b after squaring you then add a and b and you get your answer C^2

You might be interested in

In his science class, Boris conducted an experiment in which he used a glass prism to make a rainbow. He now wants to find the s

Norma-Jean [14]

Answer:

<u>Use the formula for area of the triangle:</u>

A = 1/2bh, where b- base, h- height or altitude

<u>The triangle i has:</u>

b = 4 cm, h = 1.5 cm

A = 1/2*4*1.5 = 3 cm²

Triangles have same area as they are congruent.

<u>Total area is:</u>

3*2 = 6 cm²

4 0

3 years ago

Find the distance between the points (4, 6) and (2, -6). Round to the nearest tenth.

Deffense [45]

Answer:

The correct answer is B.12.2

Step-by-step explanation:

5 0

3 years ago

Use the definition of a Taylor series to find the first three non zero terms of the Taylor series for the given function centere

Ket [755]

Answer:

$e^{4x}=e^4+4e^4(x-1)+8e^4(x-1)^2+...$

$\displaystyle e^{4x}=\sum^{\infty}_{n=0} \dfrac{4^ne^4}{n!}(x-1)^n$

Step-by-step explanation:

<u>Taylor series</u> expansions of f(x) at the point x = a

$\text{f}(x)=\text{f}(a)+\text{f}\:'(a)(x-a)+\dfrac{\text{f}\:''(a)}{2!}(x-a)^2+\dfrac{\text{f}\:'''(a)}{3!}(x-a)^3+...+\dfrac{\text{f}\:^{(r)}(a)}{r!}(x-a)^r+...$

This expansion is valid only if $\text{f}\:^{(n)}(a)$ exists and is finite for all $n \in \mathbb{N}$ , and for values of x for which the infinite series converges.

$\textsf{Let }\text{f}(x)=e^{4x} \textsf{ and }a=1$

$\text{f}(x)=\text{f}(1)+\text{f}\:'(1)(x-1)+\dfrac{\text{f}\:''(1)}{2!}(x-1)^2+...$

$\boxed{\begin{minipage}{5.5 cm}\underline{Differentiating $e^{f(x)}$}\\\\If $y=e^{f(x)}$, then $\dfrac{\text{d}y}{\text{d}x}=f\:'(x)e^{f(x)}$\\\end{minipage}}$