All categories

2 years ago

Graph the image of this figure after a dilation with a scale factor of 12 centered at the origin.

Mathematics

2 answers:

andreev551 [17]2 years ago

5 0

Answer:

The vertices of image are (-48,48), (24,24) and (72,96).

Step-by-step explanation:

From the figure it is noticed that the vertices of triangle are (-4,4), (2,2) and (6,8).

The scale factor is 12 and the dilation is about the origin.

If a figure is dilated about the origin with scale factor k, then

$(x,y)\rightarrow (kx,ky)$

Since the scale factor is 12.

$(x,y)\rightarrow (12x,12y)$

The vertices of image are

$(-4,4)\rightarrow (-48,48)$

$(2,2)\rightarrow (24,24)$

$(6,8)\rightarrow (72,96)$

Therefore the vertices of image are (-48,48), (24,24) and (72,96). The graph of image is shown below.

Elden [556K]2 years ago

3 0

Just took the test. This is the answer

You might be interested in

The voltage in a circuit is the product of two factors, the resistance and the current. If the voltage is 6ir + 15i + 8r+20, fin

zhuklara [117]

Answer:

resistance: (2r +5)
current: (3i +4)

Step-by-step explanation:

The factors of the given expression are ...

6ir +15i +8r +20 = (3i +4)(2r +5)

Which factor is current and which is resistance is not clear. Usually, resistance is referred to using the variable r, so we suppose the expressions are supposed to be ...

resistance: (2r +5)

current: (3i +4)

6 0

3 years ago

*Please Help!* (Easy question) 20 POINTS

mariarad [96]

Yes - they have to be similar. Since they are using the same line as the hypotenuse, the ratio of the other two sides are in the same ratio (ie, the slope of the line), the 3 inner angles will be the same. Thus, the triangles will be similar.

7 0

3 years ago

Read 2 more answers

I'm pretty sure this is easy for some of you but not me!

saw5 [17]

Answer:

The possible outcomes are H1, H2, T1, and T2

Step-by-step explanation:

You can result in Heads and one, Heads and two, Tails and one, or Tails and two. Hope this helps!

5 0

3 years ago

Write the equation of the graph shown below in factored form. a graph that starts at the top left and continues down through the

Brut [27]

Answer:

(d) f(x) = (x − 3)^2(x − 2)(x − 1)

Step-by-step explanation:

In this context, a crossing of the axis at x=p means there is a factor of (x-p). A "touch" of the axis at x=q means there is a factor of (x -q)^2.

A crossing at x=1 and x=2, and a touch at x=3 means the factors are ...

f(x) = (x -1)(x -2)(x -3)^2 . . . . . matches the last choice

8 0

2 years ago

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have $X = 85.1, \mu = 61.1, \sigma = 12$ . So