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2 years ago

What is the slope of the line that passes through the points (10, 3) and

Mathematics

1 answer:

borishaifa [10]2 years ago

7 0

Answer:

slope = 1

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (10, 3 ) and (x₂, y₂ ) = (7, 0 )

m = $\frac{0-3}{7-10}$ = $\frac{-3}{-3}$ = 1

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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

The first class had a kids in it, the second had b kids in it, and the third class had c kids in it. Kids from all three classes

kramer

(a+b+c)/2. this is your answer. if it had the numbers i would solve it fully, but it only has variables.

3 0

3 years ago

Read 2 more answers

Is anybody able to help me get number ten? (Geometry)

Nikitich [7]

Answer:

Aha..our nemesis problem. :)

The area is 129.90 ft ^2.

Step-by-step explanation:

First, use a 30-60-90 triagle to find the apothem.

$5\sqrt{3} =8.66\\8.66*5=43.30\\43.30/2=21.65\\$

That is the area of 1 triangle. There are 6 of them in a hexagon, so multiply that number by 6:

21.65*6=129.90 ft ^2

Have a great day!

6 0

3 years ago

5,930,000 in scientific notation

Arturiano [62]

Answer:

5.93 x 10^4

Step-by-step explanation:

5.93 is the decimal of 5,930,000

there are 4 zeros so it leads to 10 to the 4th power

3 0

3 years ago

Read 2 more answers

A) Compare the y-intercepts of f(x) and g(x). Use complete sentences.

Lady bird [3.3K]

Answer:

Step-by-step explanation:

a) y-intercept is when x=0

f(0)

=1/(0-3)

=-1/3

g(0)=0 from the graph

b) vertical asymptotes are vertical lines that f(x) and g(x) get close but do not exist there

8 0

4 years ago

Read 2 more answers