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Tatiana [17]
2 years ago
12

Write the equation for the line that goes through point (12, 15) with slope = −2.

Mathematics
2 answers:
pogonyaev2 years ago
7 0

Answer:

y= -2x +39

Step-by-step explanation:

y= mx+b

m is the slope which is given -2

since we don't know b we can solve the rest using the formula y-y1{ m(x-X1(

y - 15 = -2(x-12)

simplify

y-15= -2x +24

y= -2x + 39

Alexeev081 [22]2 years ago
7 0
Y=-2x+39 is what i got
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KonstantinChe [14]

Answer:

I guess that we want to find the equation for each case.

First, let's define the translations:

Horizontal translation.

For a function f(x), an horizontal translation of N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Now that we know these, we can find the equations for each case:

1. the graph of y = x² is moved five units upward

the graph is given by a vertical translation of 5 units upward.

y = x^2 + 5

2 the graph of y = 5x² is moved six units to the left

this is:

y = 5*(x + 6)^2

3: the graph of y = -2x² is moved seven units downward

this is:

y = -2x^2 - 7

4: the graph of y = -x² is moved two units to the left and four units downward

now we have two translations, first 4 units to the left and then 4 units downwards, this gives:

y = -(x + 4)^2 - 4

5: the graph of y = -3x² is moved two units to the right

Remember that to move the graph to the right, we need to have N negative, then:

y = -3(x - 2)^2

8 0
2 years ago
The perimeter of a standard-sized rectangular rug is 44 feet. The width is 2 feet
mariarad [96]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Let the length be x

then width  = x-2

44 ft = 2(l+b)

44ft = 2(x + x-2)

44ft  =  2(2x-2)

44 ft = 4x -4

44+4 = 4x

48 = 4x

x = 48/4 = 12

Length = <u>x = 12</u>

Width = <u>x-2 = 12-2 =10</u>

<u></u>

<u>Length is 12 and width is 10</u>

<u></u>

<u>check if its correct </u>

2(l+b) = 44

2(12+10)=44

2(22) = 44

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1 year ago
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Juli2301 [7.4K]
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3 years ago
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Answer:

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