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2 years ago

X² - y² = z²Express y in terms of x and z.

Mathematics

2 answers:

lord [1]2 years ago

8 0

Answer:

y² = x² - z²

Step-by-step explanation:

x² - y² = z²

Transpose y the other side

x² - z² = y²

y² = x² - z²

statuscvo [17]2 years ago

4 0

Answer:

y= ± $\sqrt{x^2-z^2}$

Step-by-step explanation:

Given

x² - y² = z² ( isolate y² by subtracting x² from both sides )

-y² = z² - x² ( multiply through by - 1 )

y² = x² - z² ( take the square root of both sides )

y = ± $\sqrt{x^2-z^2}$

You might be interested in

F(x)=5^x+1 what’s the rate of change between x=0 and x=4

nalin [4]

Answer:

156

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Functions
Function Notation
Average Rate of Change: $\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}$

Step-by-step explanation:

Step 1; Define

Identify

f(x) = 5ˣ + 1

Interval x [0, 4] →b = 4, a = 0

Step 2: Find Rate of Change

Substitute in variables [Average Rate of Change]: $\displaystyle \displaystyle \frac{f(4) - f(0)}{4 - 0}$
[Average Rate of Change] Substitute in x [Function f(x)]: $\displaystyle \displaystyle \frac{(5^4 + 1) - (5^0 + 1)}{4 - 0}$
(Parenthesis) Evaluate exponents: $\displaystyle \displaystyle \frac{(625 + 1) - (1 + 1)}{4 - 0}$
(Parenthesis) Add: $\displaystyle \displaystyle \frac{626 - 2}{4 - 0}$
[Fraction] Subtract: $\displaystyle \displaystyle \frac{624}{4}$
Divide: $\displaystyle \displaystyle 156$

6 0

2 years ago

What is the current record for the number digits that have been calculated for pi?

inna [77]

Answer:

31 trillion

Step-by-step explanation:

31 trillion

It was shattered by a Google employee about 5 days ago

3 0

3 years ago

Read 2 more answers

How many different 5-letter radio station call letters can be made a. if the first letter must be Upper C comma Upper X comma U

Lady_Fox [76]

Answer:

a) 1,518,000

b) 2,284,880

c) 60,720

Step-by-step explanation:

a) a. if the first letter must be Upper C comma Upper X comma Upper T comma or Upper M and no letter may be repeated?

We draw 5 boxes, and based on that we will see the total possible cases. There are 26 alphabets

The first box should have C or X or T or M .No letter may be repeated.

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

25 alphabets 24 alphabets 23 alphabets 22 alphabets

Therefore; total possible call letters = 5 × 25 × 24 × 23 × 22 = 1,518,000

The first box should have C or X or T or M Repeats as allowed

Any Any Any Any Any

5 alphabets of the of the of the of the

C,X , T , M remaining remaining remaining remaining

26 alphabets 26 alphabets 26 alphabets 26 alphabets

Therefore Total possible call letters = 5 × 26 × 26 × 26 × 26 = 2,284,880

c) The first box should have C,X , T , M and end with S

So the last place if fixed, and we now have 25 alphabets. The first box can go in 5 ways. The next box then will have only 24 letters to choose from, as the first box has taken a letter and the last box already has S in it. Repetition not allowed

Any Any Any Any S

5 alphabets of the of the of the is fixed

C,X , T , M remaining remaining remaining here

24 alphabets 23 alphabets 22 alphabets

Therefore Total possible call letters = 5 × 24 × 23 × 22 × 1 = 60,720

3 0

3 years ago

Please solve for M<PRQ

MakcuM [25]

Answer:

$m\angle PRQ =49\degree$