What is the image of (9,3) after a dilation by a scale factor of 1/3 centered at the origin?

Question

13-06-2024
Mathematics

Answered

IDNLearn.com: Your one-stop platform for getting reliable answers to any question. Discover comprehensive answers from knowledgeable members of our community, covering a wide range of topics to meet all your informational needs.

What is the image of (9,3) after a dilation by a scale factor of 1/3 centered at the origin?

Sagot :

We value your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.

Functions [tex]f[/tex] And [tex]g[/tex] Are Invertible Functions.[tex] f(x) = 8x - 7 \quad \text{and} \quad G(x) = \frac{x + 7}{8} [/tex]Answer The Following Qu

What Was One Of The Main Consequences Of The Mexican-American War?A. Spain Recaptured Many Of Its Former Colonies Throughout Mexico.B. The United States Was For

Karen Horney De-emphasized Sex In Personality Development. She Replaced It With:A. The Collective UnconsciousB. Defense MechanismsC. Social NeedsD. Genetic Pred

A Nurse Is Teaching A Class To New Staff Members About The Importance Of A Positive Work Environment. Which Of The Following Could Be Used As An Example Of Prof

Question 4 Of 10The Exponential Function [tex]f(x)=2^x[/tex] Undergoes Two Transformations To [tex]g(x)=3 \cdot 2^x+5[/tex]. How Does The Graph Change? Select A

What Does The Error Message "Scheduled Refresh Is Disabled Because At Least One Data Source Is Missing Credentials" Typically Mean?a) The Scheduled Refresh Func

What Is The Solution Of The Equation?[tex]2^x = \frac{1}{32}[/tex]A. -16 B. [tex]\(\frac{1}{16}\)[/tex] C. -5 D. [tex]\(\frac{1}{5}\)[/tex]

Unless You're Writing, Verbal And Nonverbal Communication OperateA. Separately B. Simultaneously C. Passively D. Independently

Read The National Water Act Of 1998 To Explain Its Purpose And state FOUR Reasons Why Most Communities Are Not Benefiting from This Act.

The Art Of Getting The Greatest Benefit From Limited Financial Resources Is Called: A) Profit. B) Inflation. C) Financial Management. D) Marketing.

GinnyAnsweridn GinnyAnsweridn · Answer 1 · 2024-06-13T16:28:13-04:00

To find the image of the point [tex]\((9,3)\)[/tex] after a dilation centered at the origin with a scale factor of [tex]\(\frac{1}{3}\)[/tex]:

1. Identify the original coordinates: The point we are starting with is [tex]\((9,3)\)[/tex].

2. Determine the scale factor: The scale factor given is [tex]\(\frac{1}{3}\)[/tex].

3. Apply the scale factor to each coordinate:
- Multiply the [tex]\(x\)[/tex]-coordinate by the scale factor: [tex]\(9 \times \frac{1}{3} = 3\)[/tex].
- Multiply the [tex]\(y\)[/tex]-coordinate by the scale factor: [tex]\(3 \times \frac{1}{3} = 1\)[/tex].

4. Write the new coordinates: The new coordinates after dilation are [tex]\((3, 1)\)[/tex].

So, the image of the point [tex]\((9, 3)\)[/tex] after a dilation by a scale factor of [tex]\(\frac{1}{3}\)[/tex] centered at the origin is [tex]\((3, 1)\)[/tex].

Sagot :

Other Questions