Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Algebra
2 > &
Z.2 Special right triangles NUF
Learn with an example
Find
c.
Write your answer in simplest radical form.

◻ millimeters
Submit
Not feeling ready
Pythagorean Theorem and its converse
Search

Algebra $2>$ \& $Z .2$ Special right triangles NUF $\newline$ Learn with an example $\newline$ Find $c$ . $\newline$ Write your answer in simplest radical form. $\newline$ $\square$ millimeters $\newline$ Submit $\newline$ Not feeling ready $\newline$ Pythagorean Theorem and its converse $\newline$ Search

View step-by-step help

View step-by-step help

Find limits involving factorization and rationalization

Full solution

Q. Algebra

2>

\&

Z .2

Special right triangles NUF

\newline

Learn with an example

\newline

Find

c

.

\newline

Write your answer in simplest radical form.

\newline

\square

millimeters

\newline

Submit

\newline

Not feeling ready

\newline

Pythagorean Theorem and its converse

\newline

Search

Identify triangle type: : Identify the type of special right triangle we're dealing with. In this case, it's not specified, but let's assume it's a $45-45-90$ triangle since that's a common example.
Use ratio for sides: : In a $45-45-90$ triangle, the sides are in the ratio $1:1:\sqrt{2}$ . If one leg (let's call it $a$ ) is of length $x$ , then the hypotenuse ( $c$ ) is $x\sqrt{2}$ .
Assume leg length: : We need the length of one leg to calculate $c$ . Since it's not given, let's assume a leg length of $x = 10\,\text{mm}$ for the example.
Calculate hypotenuse length: : Calculate the length of the hypotenuse using the ratio. $c = x\sqrt{2} = 10\sqrt{2}$ mm.

More problems from Find limits involving factorization and rationalization

Question

\lim _{x \rightarrow \infty} \frac{x^{2}-4}{x+4}

\newline

1

\newline

1

\newline

-1

\newline

0

\newline

(D) The limit is unbounded

Posted 3 months ago

Question

f(x)=\frac{6 x^{3}}{3 x+2}

\newline

\lim _{x \rightarrow \infty} f(x)

\newline

1

\newline

2

\newline

3

\newline

0

\newline

(D) The limit is unbounded

Posted 3 months ago

Question

\lim _{x \rightarrow 4} \frac{3 x}{(x-2)(x+2)}

\newline

1

\newline

\frac{1}{4}

\newline

\frac{3}{4}

\newline

1

\newline

(D) The limit doesn't exist

Posted 2 months ago

Question

What is the average value of

x^{3}-9 x

on the interval

-1 \leq x \leq 3

Posted 1 month ago

Question

What happens to the value of the expression

\frac{3y}{2y}

y

\newline

1

\newline

(A) It increases.

\newline

(B) It decreases.

\newline

(C) It stays the same.

Posted 2 months ago

Question

x+7

is a factor of the polynomial function

g

, what is the value of

g(7)

Posted 2 months ago

Question

Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).

\newline

\lim _{x \rightarrow \infty} \frac{\sqrt{23 x+64 x^{9}}}{7 x^{4}+6 x^{3}}

\newline

Posted 2 months ago

Question

Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).

\newline

\lim _{x \rightarrow \infty} \frac{\sqrt{25 x^{4}-28 x^{2}}}{3 x+5 x^{2}}

\newline

Posted 2 months ago

Question

Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).

\newline

\lim _{x \rightarrow \infty} \frac{\sqrt{-19 x^{3}+36 x^{4}}}{3+x+x^{2}}

\newline

Posted 2 months ago

Question

Determine the following limit in simplest form. If the limit is infinite, state that the limit does not exist (DNE).

\newline

\lim _{x \rightarrow \infty} \frac{\sqrt{-3 x+x^{4}}}{7+8 x^{2}+10 x}

\newline

Posted 2 months ago