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3 years ago

Jennifer had a 7/8- foot board. She cut off a 1/4 foot piece that was for a project. In feet, how much of the board was left

Mathematics

1 answer:

Tems11 [23]3 years ago

7 0

Answer: There was 5/8 of a foot of board left.

Step-by-step explanation:

Step 1. We need to subtract 1/4 from 7/8. To do this make it where both fractions have the same denominator.

Step 2. The easiest way to do this is to multiply 1/4 by 2.

1/4*2/2=2/8.

Step 3. Now all you got to do is subtract 2/8 from 7/8.

7/8-2/8= 5/8.

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Answer:

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

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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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