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3 years ago

What is Pythagoras' Thereom?

Mathematics

2 answers:

Margarita [4]3 years ago

8 0

A^2 + B^2 = C^2, if C is the hypotenuse of a right angled triangle and A and B are the shorter sides.

mash [69]3 years ago

4 0

The Pythagorean Theorem states that $a^2+b^2=c^2$ , where a and b are the legs of a right triangle and c is the hypotenuse of the same triangle.

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(1/16)^x+3=(1/4)^x+1

Anika [276]

Answer:

x=1

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3 years ago

Write functions for each of the following transformations using function notation. Choose a different letter to represent each f

kupik [55]

Answer:

$(a)\ T_{a,b} =(x +a,y+b)$

$(b)\ F_{y\ axis} = (-x,y)$

$(c)\ F_{x\ axis} = (x,-y)$

$(d)\ R_{o,90^o} = (-y,x)$

$(e)\ R_{o,180^o} = (-x,-y)$

$(f)\ R_{o,270^o} = (y,-x)$

Step-by-step explanation:

Solving (a): Translate a units right, b units up

When a function is translated a units right, the number of units will be added to the x coordinate

When a function is translated b units up, the number of units will be added to the y coordinate.

So, we have:

$T_{a,b} =(x +a,y+b)$

Solving (b): Reflect across y-axis

When a function is translated across the y-axis, the x coordinate gets negated.

So, we have:

$F_{y\ axis} = (-x,y)$

Solving (c): Reflect across x-axis

When a function is translated across the x-axis, the y coordinate gets negated.

So, we have:

$F_{x\ axis} = (x,-y)$

Solving (d): 90 degrees rotation counterclockwise

When a function is rotated 90 degrees counterclockwise, the y-coordinates gets negated and then swapped with the x-coordinate.

So, we have:

$R_{o,90^o} = (-y,x)$

Solving (e): 180 degrees rotation counterclockwise

When a function is rotated 180 degrees counterclockwise, the coordinates are negated.

So, we have:

$R_{o,180^o} = (-x,-y)$

Solving (f): 270 degrees rotation counterclockwise

When a function is rotated 270 degrees counterclockwise, the x-coordinates gets negated and then swapped with the y-coordinate.

So, we have:

$R_{o,270^o} = (y,-x)$

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3 years ago

The diameter of the handle of a softball is 3/4 Inches. What is the length of the diameter of 8 of these bat handle

USPshnik [31]

It is 6 inches if you have 8 3/4 segments lined up togehter

5 0

3 years ago

Jasmine took a cab Home form her office the cab charged a flat free of 4$ plus $2 per mile jasmine paid $33 for the trip how man

Lostsunrise [7]

33 - 4 = 29.

29 / 2 = 14.5

She traveled 14.5 miles in the cab.

Please mark Brainliest if it helped!

3 0

3 years ago

Read 2 more answers

A rectangular state flag has dimensions 7 feet by 5 1/2 feet. How long is its diagonal? Round your answer to the nearest tenth i

slamgirl [31]

The formula for a diagonal of a rectangle is √w^2+h^2, with w and h being the width and height. Plug in your numbers to get √7^2+5.5^2. Simplify that into √49+30.25, then to √79.25. Use your calculator to get 8.9022. The diagonal is 8.9 feet.

5 0

3 years ago