Polygon ABCDEFGH will be dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'. What will the length of A'H' be?

Answers

Answer 1

Answer: Even though you didn't attach any options I bet you have the same that I write in your task. I am pretty sure that length of A'H' should be 6.8 units. Do hope it will help you.

Answer 2

Answer:

Solution:

Polygon ABCDEFGH is dilated by a scale factor of 3.4 with the origin as the center of dilation to produce polygon A'B'C'D'EFG'H'.

As, when a polygon is dilated , the two pre image and image are similar to each other.

Also, similar shapes have same ratio of their corresponding sides length.

→Pre image (Polygon ABCDEFGH) ~Image ( A'B'C'D'EFG'H').

Dilation factor >1, equal to 3.4.

$(AB)/(A'B')=(BC)/(B'C')=(CD)/(C'D')=(DE)/(D'E')=(EF)/(E'F')=(FG)/(F'G')=(GH)/(G'H')=(AH)/(A'H')=(1)/(3.4)\n\n A'H'=3.4* AH$

Length of segment A'H'=3.4 AH

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What are the zeros of the polynomial function: f(x) = x3 + x2 – 6x ? ...?

Answers

The solution to the problem is as follows:

　
x³ + x² − 6x = 0
x (x² + x − 6) = 0
x (x − 2) (x + 3) = 0
x = 0, 2, −3

f(x) = 2x³ + 5x² + 6x − 4
f(−x) = −2x³ + 5x² − 6x − 4

Let's look at signs only and how many sign changes there are:
f(x) = + + + −
1 sign change ----> 1 positive root
f(−x) = − + − −
2 sign changes ----> 2 or 0 negative roots

Min. number of real roots = 1 ----> max. number of complex roots = 2
Max. number of real roots = 3 ----> min. number of complex roots = 0

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

What is the equation of the graphed line in point-slope form? y – 1 = 2/3 (x + 3), y – 1 = 2/3 (x – 3), y + 1 = 2/3 (x – 3), y + 1 = 2/3 (x + 3) (Points are at (-3,-3) and (3,1)

Answers

Slope = 4/6= 2/3
Intercept is -1 (I think just check with gradient on graph in doing in my head)

Y=MX+B
Y=2/3X-1 ( if my calculations add up

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Answers

The center of the circle lies on the x-axis

The radius of the circle is 3 units.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard equation of a circle is expressed as:

$x^2+y^2+2gx+2fy+C=0$

Centre is (-g, -f)

radius = √g²+f²-C

Given a circle whose equation is $x^2 + y^2 - 2x - 8 = 0.$

Get the centre of the circle

2gx = -2x

2g = -2

g = -1

Similarly, 2fy = 0

f = 0

Centre = (-(-1), 0) = (1, 0)

This shows that the center of the circle lies on the x-axis

r = radius = √g²+f²-C

radius = √1²+0²-(-8)

radius =√9 = 3 units

The radius of the circle is 3 units.

For the circle x² + y² = 9, the radius is expressed as:

r² = 9

r = 3 units

Hence the radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

Learn more on circles here: brainly.com/question/23226948

Answer:

a, b and e

Step-by-step explanation:

i got it correct on edge

Determine the theorem that justifies each if-then statement.Theorems:
• Corresponding Angles Theorem

• Corresponding Angles Converse Theorem

• Same-Side Interior Angles Theorem

• Same-Side Interior Angles Converse Theorem

• Alternate Interior Angles Theorem

• Alternate Interior Angles Converse Theorem

• Same-Side Exterior Angles Theorem

• Same-Side Exterior Angles Converse Theorem

• Alternate Exterior Angles Theorem

• Alternate Exterior Angles Converse Theorem

• Perpendicular/Parallel Line Theorem

Answers

Answer:

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem

Step-by-step explanation:

Look at the given angles and see what they are: interior, exterior, alternate, same side, etc.

If the lines are given as parallel, use the theorem.

If you show the lines are parallel, use the converse.

1a Alternate exterior angles theorem

1b Alternate interior angles theorem

1c Alternate interior angles converse theorem

1d Corresponding angles theorem

1e Same-side interior angles theorem

1f Same-side exterior angles theorem

1g Same-side interior angles converse theorem

Bill makes leather shoes. He charges $45 for a pair of women's shoes and $50 for a pair of men's shoes. He sells x pairs of women’s shoes and y pairs of men’s shoes each week and earns a total income of $2,500.

Answers

Answer:

45x + 50y = 2500

50 pairs of shoes need to be sold.

The question is incomplete. However, the equation representing the information above is;
45x+50y=2500

you and your mom enter a drawing with 3 different prizes. a total of 10 people entered the drawing, and prizes are awarded randomly. there are 720 ways to award the prizes

Answers

Answer:

The correct option is A.

Step-by-step explanation:

Number of people who entered the drawing = 10

Number of prizes = 3

Number of ways to award the prize = 720 ways

The total number of ways that 3 prizes can be awarded to the 10 people can be determined as:

10*9*8 = 720

The total number of ways in which I win the first prize and my mom wins the second prize would be 1*1*8 = 8

Thus the probability that i win the first prize and my mom wins the second prize would be 8/720 ....

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Please help! I'll mark your answer as brainliest if right <3