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tester [92]
3 years ago
12

Guys i need an answer and explain

Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

Step-by-step explanation:

2 x 2= 4, no. of 2s= 2

2 x 2 x 2= 8, no. of 2s= 3

2 x 2 x 2 x 2= 16, no. of 2s= 4

2 x 2 x 2 x 2 x 2= 32, no. of 2s= 5

Mark ‼️ it brainliest if it helps you ❤️

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Triangle QRS is dilated according to the rule DO,2 (x,y).
Gemiola [76]

The correct options about the dilation are; Options A, B and E

<h3>How to interpret Dilated Objects?</h3>

From the given information, find attached a dilated image.

The scale factor is 2

QRS → Q'R'S' = (x,y) → 2(x,y)

The coordinates of ∆QRS are; Q (-3, 3), R (2, 4) and S (-1, 1)

To get the coordinates of Q'R'S', we would multiply each coordinate of the original triangle by the scale factor of 2 since the dilation is from the origin. In other words, each vertex of QRS is multiplied by 2 to get each of the vertex of Q'R'S'.

2(x, y) = (2x, 2y)

The coordinates of ∆Q'R'S' becomes: Q' (-6, 6), R' (4, 8), S' (-2, 2)

To determine the statements that are true about the image ΔQ'R'S,

Starting with ΔABC, we would draw the dilation image of the triangle with a center at the origin and a scale factor of 2.

A) DO, 2 (x, y) = (2x, 2y)

A dilation about the origin with a scale factor 2 is described using the above notation.

Q' = 2(-3,3) = [2(-3), 2(3)] = (-6, 6)

R' (4, 8) = 2(2,4) = [2(2), 2(4)] = (4, 8)

S' (-2, 2) = 2(-1,1) = [2(-1), 2(1)] = (-2, 2)

Thus Option A is correct.

B) Side Q'S' lies on a line with a slope of -1

Q' (-6, 6)

S' (-2, 2)

coordinate (x, y)

Slope = m = (change in y)/(change in x)

m = (6-2)/[-6-(-2)]

m = 4/(-6+2) = 4/-4

m = -1

Option B is correct

c) QR is longer than Q'R'

Length of QR (-3 to 2) = 5

Length of Q'R' (-6 to 4) = 10

QR is not longer than Q'R'

Option C is false

d) The vertices of the image are closer to the origin than those of the pre-image.

From the diagram, the vertices of the preimage are closer to the origin than those of the dilation image.

Option D is False

e) The distance from Q' to the origin is twice the distance from Q to the origin.

The distance from Q' to the origin (6 to 0) = 6

The distance from Q to the origin (3 to 0) = 3

The distance from Q' to the origin = 2(the distance from Q to the origin)

Option E is correct.

Read more about Dilated Objects at; brainly.com/question/10253650

#SPJ1

8 0
2 years ago
Please help i really really need help
pishuonlain [190]

Answer:

B

Step-by-step explanation:

The second one!!!

3 0
3 years ago
I’m confused on where to shade these equations? I can do the first 2 but then the last 2 throw me off... I have to shade the are
tigry1 [53]

I’m not sure the answer but go into a webpage called Desmos and it will show you

4 0
3 years ago
Help please it’s very easy
maria [59]
Trust me:  You must know how to do this basic factoring yourself.

x^2 -5x - 6 factors into (x-6)(x+1).  Note how I got that:  -6 is the product of 1 and -6, and -6 + 1 = -5.

You could also factor this by grouping:

x^2 -5x - 6 = x(x-6) + 1(x-6).  Note how the middle terms combine to produce -5x and how (x-6) is a factor common to both terms; this leaves (x+1).  So the factors are (x-6)(x+1).
3 0
3 years ago
Which property justifies the statement below?
netineya [11]

Answer:

It's associative property because they essentially mean the same thing, with the same signs and numbers and all, except the numbers are in different places.

Step-by-step explanation:

Hope this makes sense :)

7 0
3 years ago
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