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3 years ago

How far does a car travel in .75 hrs if it is moving at a constant speed of 45 mi/hr?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Answer:

33.75 miles

Step-by-step explanation:

.75 is the same as 3/4, so if you just find out what 3/4 of 45 is(33.75) then there's your answer.

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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:

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

6 0

3 years ago

use benchmarks to determine the costomaryand metric units you would use to measure the height of your house. explain your answer

SVEN [57.7K]

What are the words? there are no words being showed.

5 0

3 years ago

What's the gcf of 645 and 570

Gnoma [55]

The greatest common factor of 645 and 570 would be <u>35</u>.

4 0

3 years ago

Solve this system of equations without graphing and show your reasoning

Drupady [299]

Answer:

x = 1/5

y = 6

Step-by-step explanation:

System:

{5x + y = 7

{20x + 2 = y

First equation:

5x + y = 7 -> y = -5x + 7

Plug into second equation:

20x + 2 = -5x + 7

Subtract 2 from both sides:

20x = -5x + 5

Add 5x to both sides:

25x = 5

Divde both sides by 25:

x = 5/25 -> 1/5

~~~~~~~~~~~~~~~~~~~~~~~~~~~`

Come back to the first equation:

5x + y = 7

Plus in our x:

5(1/5) + y = 7

Multiply:

1 + y = 7

Subtract 1 from both sides:

y = 6

Hope this helps, have a nice day! :D

7 0

2 years ago

two-fifth of the students in a mixed school are boys. if there are 30 girl in the school how many are boys

lilavasa [31]

12. 1/5 of 30 = 6. 6 x 2 = 12

6 0

3 years ago

Read 2 more answers