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3 years ago

What is the image of Q for a dilation with the center (0,0) and a scale factor of 0.5?

Mathematics

1 answer:

Lina20 [59]3 years ago

7 0

Answer: OPTION A.

Step-by-step explanation:

A dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure before the transformation) have the same shape, but they have different sizes.

In this case you know that the dilation is centered at the origin and the scale factor is:

$k=0.5$

Therefore, the rule is the following:

$Q(kx,ky)$

You can identify in the figure attached that the point Q is:

$Q(1,5)$

Therefore, you must multiply its coordinates by the scale factor 0.5 in order to get its Image Q'. This is:

$Q'=(1*0.5,5*0.5)\\\\Q'=(0.5.2.5)$

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Six friends went to a hockey game. The price of admission per person was $x. Four of the friends bought a soda for $2. Write and

Citrus2011 [14]

6x+4 (2). The expression simplifies to 6x+8

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3 years ago

Find the rational roots f(x) =3x3+ 2x2 + 3x + 6

Ann [662]

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

<h3>How to determine the rational root of the function f(x)?</h3>

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

For a function P(x) such that

P(x) = ax^n +...... + b

The rational roots of the function p(x) are

Rational roots = ± Possible factors of b/Possible factors of a

In the function f(x), we have:

a = 3

b = 6

The factors of 3 and 6 are

a = 1 and 3

b = 1, 2, 3 and 6

So, we have:

Rational roots = ±(1, 2, 3, 6)/(1, 3)

Split the expression

Rational roots = ±(1, 2, 3, 6)/1 and ±(1, 2, 3, 6)/3

Evaluate the quotient

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3, 1, 2)

Remove the repetition

Rational roots = ±(1, 2, 3, 6, 1/3, 2/3)

Hence, the rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

The complete parameters are:

The function is given as:

f(x) = 3x^3 + 2x^2 + 3x + 6

The rational roots of f(x) = 3x^3 + 2x^2 + 3x + 6 are ±(1, 2, 3, 6, 1/3, 2/3)

Read more about rational roots at

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4 0

1 year ago

The Falcone family is planning to drive from Syracuse, New York to Buffalo, New York. On a map with a scale of

Ad libitum [116K]

Answer:

The Falcones have to travel at 25 m/h to make the trip in 2 hours.

Step-by-step explanation:

In order to find the answer you have to use the formula to calculate speed:

speed=distance/time

distance=50 miles. The stament indicates that the distance between Syracuse and Buffalo is 1 inch and that the map has a scale of inch = 50 miles.

time=2 hours

Now, you can replace the values on the formula:

speed=50 miles/2 hours

speed=25 m/h

According to this, the answer is that the Falcones have to travel at 25 m/h to make the trip in 2 hours.

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2 years ago

(02.04 MC)

borishaifa [10]

Answer:

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Principal = $2,400<br> Rate = 4%<br> Time = 30 months

grandymaker [24]

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240 <-- The interest

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The simple interest accumulated on a principal of $ 2,400.00 at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

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3 years ago