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Kay [80]
3 years ago
12

The formula c = √a^2 + b^2 represents the length of the hypotenuse of a right triangle with side lengths a and b. Solve the equa

tion for b. Show your work.
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

b = √(c^2 - a²)

Step-by-step explanation:

Start with the given c = √a^2 + b^2.  Squaring both sides, we get:

c² = a² + b².

We want to iosolate b² and then b.

So:  subtract a² from both sides, resulting in:

c² - a² = b²

Taking the square root of both sides, we get:

√b² = √(c² - a²)

and so:

b = √(c^2 - a²)

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Use your knowledge of function to complete the table below, identify wether or not each representation is a function, and be sur
zheka24 [161]

Answer/Step-by-step explanation:

3. Function: NO

Justification: there will be more than one y-value/output related to one x-value/input.

4. Function: YES

Justification: There are exactly one y-value/output related to each input/x-value in the relation.

5. Function: YES

Justification: each x-value/input is mapped to exactly one y-value/output. No input value is mapped to more than one output value.

6 0
2 years ago
A stadium has a rectangular area 125 m long by 80 m wide there are two semicircular ends a running track goes all the way round
valentinak56 [21]
Total inside length = 501.2m

5 0
3 years ago
Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
nasty-shy [4]

Answer:

f(x) = \frac{x - 25}{5x - 5}

Domain: x \ne 1

Step-by-step explanation:

Given

f(5x) = \frac{x - 5}{5x - 1}

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}

f(x) = \frac{\frac{x}{5} - 5}{x - 1}

Take LCM

f(x) = \frac{\frac{x - 25}{5}}{x - 1}

f(x) = \frac{x - 25}{5} * \frac{1}{x-1}

f(x) = \frac{x - 25}{5x - 5}

To get the domain, we set the denominator as

5x - 5 \ne 0

5x \ne 5

x \ne 1

4 0
3 years ago
Started at 15 degrees and dropped 1/2 degrees each minute
Charra [1.4K]

Answer:

7.5 should be the answer sorry if its wrong i don't have all of the information

4 0
3 years ago
X plus -2 equals four
expeople1 [14]
X + (-2) = 4...
do the inverse +2 on both sides 4+2 equals 6. X= 6
4 0
3 years ago
Read 2 more answers
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