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Gennadij [26K]
3 years ago
15

The endpoints of are A(2, 2) and B(3, 8). is dilated by a scale factor of 3.5 with the origin as the center of dilation to give

image . What are the slope (m) and length of ? Use the distance formula to help you decide: .
Mathematics
2 answers:
goldfiish [28.3K]3 years ago
6 0

Answer:

The given line segment whose end points are A(2,2) and B(3,8).

Distance AB is given by distance formula , which is

if we have to find distance between two points (a,b) and (p,q) is

=  \sqrt{(p-a)^2+(q-b)^2}

AB= \sqrt{(3-2)^2+(8-2)^2}=\sqrt{1+36}=\sqrt{37} = 6.08 (approx)

Line segment AB is dilated by a factor of 3.5 to get New line segment CD.

Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)

Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)

CD = AB × 3.5

CD = √37× 3.5

     = 6.08 × 3.5

= 21.28 unit(approx)

2. Slope of line joining two points (p,q) and (a,b) is given by

m=\frac{q-b}{p-a}

m= \frac{8-2}{3-2}=6

As the two lines are coincident , so their slopes are equal.

Slope of line AB=Slope of line CD = 6




Alla [95]3 years ago
6 0
The slopes of both are:m=\frac{y2-y1}{x2-x1}= \frac{8-2}{3-2}=  \frac{6}{1}=6
Length of AB (using the distance formula):AB=\sqrt{(3-2)^{2} +(8-2) ^{2} } = \sqrt{1+36} = \sqrt{37}=6.082
Length of the image: 3.5 * 6.082 = 21.287
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2w(w2 + 3w - 5) + 3w3 + 2(w2 + 1)
marysya [2.9K]

Answer:

=5w3+8w2−10w+2

Step-by-step explanation:

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1

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2

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6

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−

1

0

+

3

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2

(

2

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1

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2

3

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2

−

1

0

+

3

3

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2

2

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2

3

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6

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−

1

0

+

3

3

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2

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2

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2

4

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5

3

+

6

2

−

1

0

+

2

2

+

2

5

3

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8

2

−

1

0

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2

sorry if it don't make sense ;c

7 0
2 years ago
Consider the first 2 terms of the sequence -6, 18,...
____ [38]

Answer:

arithmetic sequence: 24, 42, 66, 90, 114; y = 24x - 30

geometric sequence: -54, 162, -486, 1458, -4374; y = -6(-3)^(x - 1)

Step-by-step explanation:

Arithmetic sequence:

-6, 18, ...

18 - (-6) = 24

18 + 24 = 42

42 + 24 = 66

66 + 24 = 90

90 + 24 = 114

y = -6 + 24(x - 1)

y = -6 + 24x - 24

y = 24x - 30

Geometric sequence:

-6, 18, ...

18/(-6) = -3

18 * (-3) = -54

-54 * (-3) = 162

162 * (-3) = -486

-486 * (-3) = 1458

1458 * (-3) = -4374

y = -6(-3)^(x - 1)

5 0
2 years ago
Interest rate on a credit card is 1/2%. is 1/2% less then,equal to,or greater then 0.005? explain
andreev551 [17]
It’s is greater it would only be equal if you multiplied it by 100
4 0
2 years ago
Shopping at clothing world, jenna buys her children four shirts and three pairs of pants for 124.25. She returns the next day an
Aleksandr-060686 [28]

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Step-by-step explanation:

Let,

Cost of one shirt = x

Cost of pair of jeans = y

According to given statement;

4x+3y=124.25    Eqn 1

3x+5y=161.25     Eqn 2

Multiplying Eqn 1 by 3

3(4x+3y=124.25)\\12x+9y=372.75\ \ \ Eqn\ 3

Multiplying Eqn 2 by 4

4(3x+5y=161.25)\\12x+20y=645\ \ \ Eqn\ 4

Subtracting Eqn 3 from Eqn 4

(12x+20y)-(12x+9y)=645-372.75\\12x+20y-12x-9y=272.25\\11y=272.25

Dividing both sides by 11

\frac{11y}{11}=\frac{272.25}{11}\\y=24.75

Putting 24.75 in Eqn 1

4x+3(24.75)=124.25\\4x+74.25=124.25\\4x=124.25-74.25\\4x=50

Dividing both sides by 4

\frac{4x}{4}=\frac{50}{4}\\x=12.50

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/2670657
  • brainly.com/question/2821386

#LearnwithBrainly

8 0
2 years ago
Solve the inequality: -6w - 18 ≥ 36
astra-53 [7]
The answer to the question

7 0
3 years ago
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