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3 years ago

I have to determine whether the sides of the triangle form a pythagorean triple.

Mathematics

1 answer:

Crazy boy [7]3 years ago

3 0

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

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If T: (x, y) → (x + 6, y + 4), then T-1: (x,y) → _____.

alexgriva [62]

T is a linear transformation from R²→R² with basis {(1,0),(0,1)}
T: (x,y)→(x+6,y+4)

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation.

Then the vector (1,0) goes to (1+6,4)=(7,4)=7(1,0)+4(0,1)

and the vector (0,1) goes to (6,1+4)=(6,5)=6(1,0)+5(0,1)

So, the matrix of the transformation is

$\left[\begin{array}{ccc}7&6\\4&5\end{array}\right]$

The inverse of the matrix is

$\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]$

So, the Inverse Transformation is given by

$T^{-1}(x,y)=\left[\begin{array}{ccc}\frac{5}{11}&\frac{-6}{11}\\ \\\frac{-4}{11}&\frac{7}{11}\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] =(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

So, no option is correct. And the answer is

$T^{-1}(x,y)=(\frac{5x-6y}{11}, \frac{-4x+7y}{11})$

Learn more about linear transformations here-

brainly.com/question/13005179

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5 0

2 years ago

Ixl help ASAP PLZ HELP

frutty [35]

Answer:

(9,-6)

(9,2)

(8,2)

(8,-6)

Step-by-step explanation:

To reflect something over the y axis all you have to do is change the sign of the X coordinate

which means that

(-9,-6) is (9,-6)

The other answers are

(9,2)

(8,2)

(8,-6)

4 0

2 years ago

5/18 • 3/20 • 6/12 please help

Rasek [7]

Answer:

1/48

Step-by-step explanation:

the steps are in the picture

5 0

2 years ago

Read 2 more answers

CHOOSE TO ANSWER EITHER QUESTION:

Ugo [173]

Answer:

First one: C. Second One:C.

Step-by-step explanation:

Kate purchased a car for $23,000. It will depreciate by a rate of 12% a year. What is the value of the car in 4 years?

a) $13,935.76

b) $12,874.57

c) $13,792.99

To solve this this is an exponential function. The price started at $23,000 and depreciates at 12% so the equation is f(x) = (23,0000)(1-0.12)^4. When calculated results with 13792.99328 which is C.

A rare coin is currently worth $450. The value of the coin increases 4% each year. Determine the value of the coin after 7 years.

a) $613.98

b) $546.78

c) $592.17

To solve this this is also an exponential function. The price started at $450 and the coin increases 4% each year so the equation is f(x) = (450)(1+0.04)^7. When calculated results with 592.169300656 which is c.

4 0

2 years ago

Help I dont really understand

Juliette [100K]

Answer:

I think it would be either choice A or B

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

I have to determine whether the sides of the triangle form a pythagorean triple.​

I have to determine whether the sides of the triangle form a pythagorean triple.