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dem82 [27]
3 years ago
9

20) Which rule yields the dilation of the figure RSTU centered at the origin?

Mathematics
2 answers:
Ierofanga [76]3 years ago
8 0
A) (x,y)->(4x,4y) because the x and y values are multiplied by 4 when dilated. Ex. U(-1,1) was dilated to U’(-4,4). -1 was multiplied by 4 to get -4 for the x value and 1 was multiplied by 4 to get 4 for the y value.
snow_lady [41]3 years ago
5 0

Answer:   A) (x,y)\to(4x,4y)

Step-by-step explanation:

The rule of dilating a shape by scale factor k centered at the origin is given by :-

(x,y)\rightarrow (kx,ky)  [We multiply k to the coordinates of pre-image ]

It means Option C) and D) is incorrect.

From the given graph , it can be observe that quadrilateral R'S'T'U' (image) is larger than the RSTU (pre-image) .

It means the scale factor should be greater than 1. [∵ Scale factor for enlargement is k>1]

Then, Option B is also incorrect.

Hence, the rule yields the dilation of the figure RSTU centered at the origin is given by option A)

i.e. (x,y)\to(4x,4y)

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2x+8= -16<br><br>3x-26= 10<br><br>sovle for x
Ksenya-84 [330]

2x + 8 = 16

2x = 16 - 8

2x = 8 (divide both sides by 2 to get x)

2x/2 = 8/2

x = 4

3x-26=10

3x=10+26

3x=36

X=12


4 0
3 years ago
Marie get allowance everyday she gets 10$ each week she already has 30$ But she wants 90$ how much money does she need to make 9
Dima020 [189]

Answer:

She needs $60 more so she has to work 6 weeks to get that much.

Step-by-step explanation:

x = each week

y = total

Equation:

90 = 10x + 30

10x = 60

x = 6

7 0
3 years ago
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Lynna [10]

Answer:

Measure of angle V = 62.4°.

Step-by-step explanation:

Given information : In ΔUVW, m∠W=90°, UV = 4.1 feet, and VW = 1.9 feet.

We need to find the measure of ∠V to the nearest tenth of a degree.

In a right angled triangle

\cos \theta = \dfrac{adjacent}{hypotenuse}

Since m∠W=90°, so ΔUVW is a right angle triangle.

\cos (\angle V) = \dfrac{VW}{UV}

\cos (\angle V) = \dfrac{1.9}{4.1}

Taking cos inverse on both sides.

\angle V= \cos ^{-1}(\dfrac{1.9}{4.1})

\angle V=62.39233194

\angle V\approx 62.4

Therefore, the measure of angle V is 62.4°.

7 0
3 years ago
A miner dug to a point 1680 feet below sea level.
gregori [183]

Answer:

-1680

Step-by-step explanation:

Above would be positive.

Below would be negative.

You have 1680 below, so the answer as a signed number for the elevation would be -1680.

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y = -3/2x + p/3

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