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4 years ago

If rectangle DEFG is dilated by a scale factor of 3 with a dilation center of (0, 0), what will be the coordinates of point D'?

Mathematics

2 answers:

Finger [1]4 years ago

4 0

Answer:

C). (-6, -3)

Step-by-step explanation:

We have been given a rectangle DEFG on coordinate plane. We are asked to find the coordinates of point D after a dilation by a scale factor of 3 with center of dilation at origin (0,0).

Since dilating a figure by a scale factor (k), we multiply the coordinates of all points of the figure by the scale factor k.

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

We can see that coordinates of point D are (-2,-1). After dilation by scale factor of 3 coordinates of D will be:

$(3\cdot -2, 3\cdot -1)\rightarrow (-6,-3)$

Therefore, the coordinates of point D will be (-6,-3) and option C is the correct choice.

ser-zykov [4K]4 years ago

3 0

The coordinate of D is (-2, -1)
applying a scale factor of 3 through a dilation would mean you would have to multiply the coordinate values by the scale factor which would result in (-6,-2)

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Find the area of the triangle. Choices- Question 8 options: a) 70 units2 b) 35 units2 c) 28 units2 d) 14 units2

viva [34]

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

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70/2 = 35

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3 years ago

Read 2 more answers

Chris and Dave and Ed share £720 between them. Chris receives £90 more than Dave. The ratio of Chris's share to Dave's share is

jolli1 [7]

Answer:

Ratio of Ed's share : Dave's share = 4 : 5

Step-by-step explanation:

Total amount shared = £720

Let us assume that Dave receives = £m

So, Chris's share = £90 + m

Also, Chris's share : Dave's Share = 7: 5

⇒ $\frac{90 + m}{m} = \frac{7}{5}$

Here, solving for m , we get : 5(90 + m) = 7m

or, 450 + 5m = 7m

⇒ 2m = 450, ⇒ m = 225

So, Dave's Share = m = £225

Chris's share = £90 + m = 225 + 90 = £ 315

Hence, Ed's share = Total - ( sum of Dave's and Chris's share)

= 720 -( 315 + 225) = £180

So, ratio of Ed's share : Dave's share = £180 : £225

or, Ratio of Ed's share : Dave's share = 4: 5

7 0

4 years ago

8.The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb. The

Sladkaya [172]

Answer:

The value is c = 21.1445.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

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.

The weight distribution of parcels sent in a certain manner is normal with mean value 12lb and standard deviation 3.5 lb.

This means that $\mu = 12, \sigma = 3.5$