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liraira [26]
3 years ago
10

Identify the transformation shown by the 2 lines on the graph as a dilation or translation.

Mathematics
1 answer:
saveliy_v [14]3 years ago
7 0

Answer:

b) dilation

Step-by-step explanation:

Translation:

Figure has the same size, just in different positions.

Dilation:

FIgure has different size.

In this question:

We have function f(x) = x.

And also, we have function g(x) = \frac{x}{4}, that is, the figure f changes in size, is divided by 4. So it is a dilation.

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What is the relationship among proportional relationships, lines, rates of change, and slope?
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3 years ago
HELP PLEASE!!!!!! Find the speed of an athlete who makes 4and3/4 laps in 3mins45 seconds on a 400m field in m/s​
Rom4ik [11]

Given:

An athlete who makes 4\dfrac{3}{4} laps in 3 mins 45 seconds on a 400m field.

To find:

The speed of the athlete in m/s.

Solution:

We know that,

Distance covered in 1 lap = 400 m

Distance covered in 4\dfrac{3}{4} laps = 4\dfrac{3}{4}\times 400 m

                                               = \dfrac{19}{4}\times 400 m

                                               = 1900 m

We know that,

1 minute = 60 seconds

3 minutes = 180 seconds

3 minutes 45 second = 180 + 45 seconds

                                   = 225 second

The speed of the athlete is:

Speed=\dfrac{Distance}{Time}

Speed=\dfrac{1900}{225}

Speed\approx 8.44

Therefore, the speed of the athlete is about 8.44 m/s.

7 0
2 years ago
What is the solution to the system of equations? Use any method. {y=−3x+1 {2x+5y=18
Softa [21]

Answer:

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

Step-by-step explanation:

Equations given to us are

y = -3x + 1                                ..................(i)

2x + 5y = 18                             .................(ii)

To find the value of x and y or the solution set of the system of equations

Now in first equation we see that

y = -3x + 1

Putting this value in equation (ii)

which is

2x + 5y = 18

Putting value of y from (i) in it

2x + 5(-3x + 1) = 18

Opening the bracket and multiplying inside

2x -15x + 5 = 18

-13 x + 5 = 18

Subtracting 5 from both sides of the equation

-13x + 5 - 5 = 18 -5

-13x = 13

Dividing both sides by -13

\frac{-13x}{-13}=\frac{13}{-13}

Cutting out the same values gives us

x = -1

For value of y

putting value of x in equation (i)

which is

y = -3x + 1

Putting the value

y = -3(-1)+1

y=3+1

y=4

So the solution set of the equations are {(-1,4)}

or

the solution is x = -1 and y = 4

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3 years ago
6 is what percent of 8
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