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kobusy [5.1K]
3 years ago
14

Consider these dilations. 1. Large triangle right-arrow smaller triangle. 2. Small square right-arrow large square. 3. Line segm

ent right-arrow identical line segment. Which best describes the scale factor for each dilation? Dilation 1 has a scale factor . Dilation 2 has a scale factor . Dilation 3 has a scale factor .
Mathematics
2 answers:
DochEvi [55]3 years ago
8 0

Answer:

Dilation 1 has a scale factor

✔ between 0 and 1

.

Dilation 2 has a scale factor

✔ greater than 1

.

Dilation 3 has a scale factor

✔ equal to 1

.

Step-by-step explanation:

i got it right on edge

skad [1K]3 years ago
4 0

Answer: 1.(between 0 and 1)   2.(greater than 1)  3.(equal to 1)

Step-by-step explanation: i hope this helps!

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A guy wire is used to support flagpoles in windy areas. These wires are anchored in the ground to provide constant stability. Yo
r-ruslan [8.4K]

Answer: a) Length of wire to replace old one=9ft

b) Length of wire=3.09ft

Leftover wire=0.91ft

Step-by-step explanation: from the right angle triangle, Tan&=20/15

&=53.13°

Length of wire,x=cos 31.13=x/15

15cos31.13

X=9

b) Tan&=10/6

Tan^-110/6

&=59.05

Length= 6cos59.04

X=3.09

4-3.09=.91= leftover wire

8 0
3 years ago
Joakim is icing 30 cupcakes he spreads mint icing on one fifth of the cupcakes and chocolate on one half of the cup remaining cu
evablogger [386]

Answer:

  12

Step-by-step explanation:

1/5 of 30 is 30/5 = 6

1/2 of (30 -6) = 12 . . . half of those remaining after mint icing

The other half of those remaining is also 12 cupcakes. So, 12 cupcakes will get vanilla icing.

5 0
4 years ago
Please help me! I'm stuck and really confused, thank you so much!
Kryger [21]

Answer:

(a) 5 * (2x - 1) = 10x - 5

(b) 6 * x = x + 2x + 3x

(c) \frac{1}{2}(x - 6) = \frac{1}{2}x - 3

(d) y(3x + 4z) = 3xy + 4yz

(e) z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

Step-by-step explanation:

Solving (a):

Given

10x - 5

Required

Express as a product

Express 10x as 5 * 2x

10x - 5 = 5 * 2x - 5

Apply distributive property

10x - 5 = 5(2x - 1)

10x - 5 = 5 * (2x - 1)

So:

5 * (2x - 1) = 10x - 5

Solving (b):

Given

x + 2x + 3x

Required

Express as a product

Express 2x and 3x as 2 * x and 3 * x, respectively

x + 2x + 3x = x + 2*x + 3*x

Apply distributive property

x + 2x + 3x = x(1 + 2 + 3)

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

x + 2x + 3x = 6*x

So:

6 * x = x + 2x + 3x

Solving (c):

Given

\frac{1}{2}(x - 6)

Required

Express as a sum/difference

Apply distributive property

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{1}{2}*6

\frac{1}{2}(x - 6) = \frac{1}{2}x - \frac{6}{2}

\frac{1}{2}(x - 6) = \frac{1}{2}x - 3

Solving (d):

Given

y(3x + 4z)

Required

Express as a sum/difference

Apply distributive property

y(3x + 4z) = 3x * y + 4z * y

y(3x + 4z) = 3xy + 4yz

Solving (e):

Given

2xyz - 3yz + 4xz

Required

Express as a product

Factorize

2xyz - 3yz + 4xz = 2xy * z - 3y * z + 4x * z

Apply distributive property

2xyz - 3yz + 4xz = z(2xy - 3y + 4x)

So:

z(2xy - 3y + 4x) = 2xyz - 3yz + 4xz

8 0
3 years ago
Can someone help me out with this question please and thank you! ​
Lesechka [4]

Answer:

A.

Gradient: 4

x-intercept: (1,0)

y-intercept: (0,-4)

B.

Gradient: - 3

x-intercept: (-1,0)

y-intercept: (0,-3)

Line y=5x=40

x-intercept: 8

y-intercept: 40

Step-by-step explanation:

y -5x = 40

x-intercept: 0-5x=40

-5x = 40. x = 40/-5

x = -8

y-intercept: y -0 = 40

y = 40

6 0
3 years ago
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