Please help!!!. I don't know how to do it. Find the values of x and y that produce the following Pythagorean triples:

39, 760, 761

Answers

Answer 1

Answer: 39 has factors (1 * 39) & (3 * 13)
Here we'll try
m + n = 13
m - n = 3

2m = 16
m = 8

2n = 10
n = 5
2mn = 2 * 8 * 5 = 80
So this choice is no good.
Let's go with
m + n = 39
m - n = 1

2m = 40
m = 20

2n = 38
n = 19

Thus
x = 20² - 19² = 39
y = 2 * 20 * 19 = 760
z = 20² + 19² = 761

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Convert 9900 pints into cups

Answers

Answer:19800

Step-by-step explanation:

Answer: 19,800 cups

Step-by-step explanation:

You are 12-15 seconds from an intersection. What should you search for in this range?

Answers

When you are 12-15 seconds away from an intersection while driving, you should search for the following:

1. Traffic lights: Look for traffic lights at the intersection and determine their current state (red, yellow, or green).

2. Hazardous situations: Scan for any potential hazards such as pedestrians, bicycles, or motorcycles approaching or crossing the intersection.

3. Vehicles: Check for any vehicles approaching the intersection, especially those that may turn or change lanes unexpectedly.

4. Road signs and markings: Pay attention to any signs or road markings that may affect your intended path or require you to take specific actions.

5. Road conditions: Observe the road conditions, looking for anything that may affect your ability to safely navigate the intersection, such as wet or icy surfaces.

By actively searching for these elements, you can anticipate potential dangers, make informed decisions, and react in a timely manner to ensure a safe passage through the intersection.

A city in the Pacific Northwest has hundreds of sensors along a natural fault line. These sensors are part of an early detection and warning system, and they are constantly recording and storing seismic data for analysis. The sensor data are then used to predict the likelihood of an earthquake occurring at any given moment, how powerful the earthquake(s) will be, and the epicenter within a 15-mile radius. What kind of Big Data usage is this an example of:_______.

Answers

Options:.

A: operations

B. government operations

C. microsegmentation

D. product development

Answer:B. government operations

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Find the greatest common factor of 15x 2 y 3 and -18x 3 yz.

Answers

Answer:

Greatest common factor of $15x^2y^3$ and $-18x^3yz$ is $3x^2y$

Step-by-step explanation:

Greatest common factor is the common factor for two or more numbers such that greatest common factor divides both the number.

We find Greatest common factor by

doing prime factorization and then

taking common factors from all the factors and

if they do not have nay term common then Greatest common factor is 1.

Given Numbers are $15x^2y^3$ and $-18x^3yz$

First we do prime factorization of $15x^2y^3$ .

15 can be written as product of prime 3 and 5, so

$15x^2y^3=3 * 5 * x* x * y * y * y$

and Similarly, $-18x^3yz$ can be written as,

$-18x^3yz=-3 * 3* 2 * x* x * x* y* z$

Thus, taking common from both the terms,we get,

Greatest common factor as $3x^2y$

Multiply the GCF of the numerical part 3 and the GCF of the variable part x^2y to get
3x^2y.

Use the fundamental identities to simplify the expression. There is more than one correct form of the answer.7 sec^2 x(1 − sin^2 x)

Answers

The fundamental identities that are useful are

Pythagorean relations: cos^2 x + sin^2 x = 1
Inverse trigo identity: cos x = 1/secx

Applying the pythagorean theorem, the equation would be:
7sec^2 x(cos^2 x)
Then applying the inverse trigo identity, the answer would be 7.

Thus, the final answer is 7.

What is 9x > -18 simplified