Answer: D
Step-by-step explanation:
To dilate by a scale factor of 5, multiply the x and y values of the points by 5
A(0,10) then A' would be (0,50)
Since 0 * 5 = 0 and 10 * 5 = 50
B(8,6) then B'(8*5,6*5) or (40,30)
C(4,2) then C'(4*5,2*5) or (20,10)
To solve the problem we must know about the Ratio.
<h2>What is Ratio?</h2>
A ratio shows us the number of times a number contains another number.
The length of the living space, in reality, is 21 meters.
Given to us
- The scale is given as 2 centimeters equals 2.5 meters.
To find
- the actual length of the living space if the length of the scale drawing is 16. 8 centimeters
<h3>Scale ratio</h3>
As it is given that 2 cm on the scale drawing is equal to 2.5 meters in real, therefore, the ratio can be written as
![\dfrac{\text{Length of the scale drawing}}{\text{Length in reality}} = \dfrac{2\ cm}{2.5\ meters}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BLength%20of%20the%20scale%20drawing%7D%7D%7B%5Ctext%7BLength%20in%20reality%7D%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D)
<h3>Length of the living space</h3>
Using the same scale ratio,
![\dfrac{\text{Length of the living space in scale drawing}}{\text{Length of the living space in reality}} = \dfrac{2\ cm}{2.5\ meters}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BLength%20of%20the%20living%20space%20in%20scale%20drawing%7D%7D%7B%5Ctext%7BLength%20of%20the%20living%20space%20in%20reality%7D%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D)
![\dfrac{16.8}{x} = \dfrac{2\ cm}{2.5\ meters}\\\\x=\dfrac{16.8 \times 2.5}{2} = 21\ meters](https://tex.z-dn.net/?f=%5Cdfrac%7B16.8%7D%7Bx%7D%20%3D%20%5Cdfrac%7B2%5C%20cm%7D%7B2.5%5C%20meters%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B16.8%20%5Ctimes%202.5%7D%7B2%7D%20%3D%2021%5C%20meters)
Hence, the length of the living space, in reality, is 21 meters.
Learn more about Ratio:
brainly.com/question/1504221
16 - (4*sinθ)^2
16 - 16*sinθ^2
16(1 - sinθ^2)
16*cosθ^2
Answer:
A,B,D are true C is false
I think it's a^2 b^2 + 6ab + 9