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3 years ago

PLEASE HELP ME...

Mathematics

2 answers:

adell [148]3 years ago

4 0

Since the reflected figure is moved to the third quardrant, the reflection should be across the x-axis.

Also, if we compare the width and height of the orginial triangle with that of the reflected one, it is clear that it is dilated with a scale factor of 0.25.

erastovalidia [21]3 years ago

4 0

Answer:

Triangle ABC can be mapped onto triangle DEF with a reflection across the x axis followed by a dilation centered at the origin with a scale factor of 0.25 .

Step-by-step explanation:

Given : Graph of two triangle ABC and DEF with coordinates .

To find : Triangle ABC can be mapped onto triangle DEF with a reflection across the______ followed by a dilation centered at the origin with a scale factor of ______.

Solution : We can see from given graph triangle triangle ABC is reflected across x axis.

Scale factor: 0.25

Therefore, Triangle ABC can be mapped onto triangle DEF with a reflection across the x axis followed by a dilation centered at the origin with a scale factor of 0.25 .

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Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:

alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Rearrange the formula so that Distance is the subject:

$\implies \sf Distance = Speed \times Time$

<h3><u>Question (i)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 30 seconds

Substitute the given values into the formula for distance:

$\implies \sf Distance = 45 \times 30 = 1350\:m$

<h3><u>Question (ii)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

Speed = 45 m/s (meters per second)
Time = 120 seconds

Substitute the values into the formula for distance:

$\implies \sf Distance = 45 \times 120 = 5400\:m$

3 0

1 year ago

Read 2 more answers

Which of the following functions best represents the graph?

marshall27 [118]

Answer:

$f(x)=x^3+x^2-4x-4$

Step-by-step explanation:

From the graph, the x-intercepts are;

$x=-2$

$x=-1$

$x=2$

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

$f(-2)=0,f(-1)=0,f(2)=0$

According to the factor theorem, if $(x-a)$ is a factor of $f(x)$ , then $f(a)=0$

This implies that;

$(x+2),(x+1),(x-2)$ are factors of the required function.

Hence; $f(x)=(x+1)(x-2)(x+2)$

We expand using difference of two squares to obtain;

$f(x)=(x+1)(x^2-4)$

We expand using the distributive property to get;

$f(x)=x^3-4x+x^2-4$

Rewrite in standard form to obtain;

$f(x)=x^3+x^2-4x-4$

6 0

3 years ago

Read 2 more answers

Find the measurements (the length L and the width W) of an inscribed rectangle under the line with the 1st quadrant of the x &am

Leni [432]

The question is incomplete. Here is the complete question.

Find the measurements (the lenght L and the width W) of an inscribed rectangle under the line y = - $\frac{3}{4}$ x + 3 with the 1st quadrant of the x & y coordinate system such that the area is maximum. Also, find that maximum area. To get full credit, you must draw the picture of the problem and label the length and the width in terms of x and y.