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astra-53 [7]
3 years ago
9

Pyramid math (algebra 1)

Mathematics
1 answer:
xxTIMURxx [149]3 years ago
8 0
1) 7
3, 4
2, 1, 3
6, -4, 5, -2
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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
A business has two loans totaling $85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business e
butalik [34]

Answer:

$30,000 and $55,000

Step-by-step explanation:

If 4.5% loan is x, and the 6% loan is y, then:

x + y = 85000

0.045x + 0.06y = 4650

Solve the system of equations with substitution or elimination.  Using substitution:

0.045x + 0.06(85000 − x) = 4650

0.045x + 5100 − 0.06x = 4650

450 = 0.015x

x = 30000

y = 55000

5 0
3 years ago
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What is the image of A(3, 5) under the translation (x - 4, y - 3) ?
azamat
C because (x-4,y-3) = c
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1.27(v+-7)=-17.78<br> Solve for v.
Alexandra [31]

Answer:

V= −7

Step-by-step explanation:

In pic

( hope this helps have a great day :) .)

8 0
3 years ago
Compare the functions shown below:<br> 1222
Natalija [7]
The answer is f(x) I’m not quite sure what
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