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Marina CMI [18]
3 years ago
7

Lines m and p are perpendicular if the slope of line is 1, 25th what is the slope of line p

Mathematics
1 answer:
Rainbow [258]3 years ago
7 0
-1 is the opposite reciprical (perpendicular)
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A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 unit
Wittaler [7]

Given:

A student says that the graph of the equation y = 3(x + 8) is the same as the graph of y = 3x, only translated upwards by 8 units.

To find:

Whether the student is correct or not.

Solution:

Initial equation is

y=3x

f(x)=3x

Equation of after transformation is

y=3(x+8)

g(x)=3(x+8)

Now,

g(x)=f(x+8)      ...(i)

The translation is defined as

g(x)=f(x+a)+b        ...(ii)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

From (i) and (ii), we get

a=8\text{ and }b=0

Therefore, the graph of y=3x translated left by 8 units. Hence, the student is wrong.

8 0
2 years ago
Please someone help me out on this
valentinak56 [21]

Answer:

I think it is C

Step-by-step explanation:

   

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6 0
2 years ago
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Keith_Richards [23]

Answer:

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Step-by-step explanation:

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2 years ago
Solve the following simultaneous equations: 1. a) x-y=-5 and x + y = -1​
Sonbull [250]

Answer:

x = -3, y = 2

Step-by-step explanation:

x - y = -5

x = -5 + y

Let's put this into the other equation

(-5 + y) + y = -1

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2y = 4

y = 2

Now we can solve for x by plugging y into either equation

x + (2) = -1

x = -3

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2 years ago
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Lerok [7]

Answer:

485297

Step-by-step explanation:

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