Answer:
- enlargement: >1
- reduction: <1
- 1: same size
Step-by-step explanation:
The scale factor of an enlargement is greater than 1.
The scale factor of a reduction is less than 1.
A scale factor of 1 will produce a congruent figure, one the same size as the original.
_____
<em>A longer way to say it</em>
A figure is enlarged when its dimensions are greater than those of the original. Then the ratio of dimensions will be ...
(greater than original)/(original) = greater than 1
Similarly, a figure is reduced when its dimensions are less than those of the original:
(less than original)/(original) = less than 1
Multiplying dimensions by a scale factor of 1 does not change them. The scaled figure is the same size as the original.
Answer: I think it might be the third answer choice
Step-by-step explanation:
since it is going through the points of a parabola
Answer:
The two experiments together can be performed in 45 distinct ways.
Step-by-step explanation:
Number of distinct ways to perform first experiment = 5
Number of distinct ways to perform first experiment = 9
For each distinct way the first experiment is performed there are 9 distinct ways to perform the second experiment. Also, the way each experiment is performed is independent of the other experiment (important assumption).
So, according to the fundamental rule of counting the total number of ways to perform both the experiments must be equal to the product of number of ways in which each experiment can be performed.
Therefore, the two experiments can be performed together in 5 x 9 = 45 distinct ways.
Answer:
The width of the border can be 9 feet or 3.5 feet.
Step-by-step explanation:
Let the width be x
Length of room = 10 feet
Breadth of room = 15 feet
Length of rug = 10-2x
Breadth of rug = 15-2x
Area of rug =
We are given that the area of the rug is 24 square feet.
So,
---A
![150-20x-30x+4x^2=24](https://tex.z-dn.net/?f=150-20x-30x%2B4x%5E2%3D24)
![150-24-50x+4x^2=0](https://tex.z-dn.net/?f=150-24-50x%2B4x%5E2%3D0)
![126-50x+4x^2=0](https://tex.z-dn.net/?f=126-50x%2B4x%5E2%3D0)
![2(x-9)(2x-7)=0](https://tex.z-dn.net/?f=2%28x-9%29%282x-7%29%3D0)
![x=9,\frac{7}{2}](https://tex.z-dn.net/?f=x%3D9%2C%5Cfrac%7B7%7D%7B2%7D)
![x=9,3.5](https://tex.z-dn.net/?f=x%3D9%2C3.5)
Substitute x =9 in A
![(10-2(9))(15-2(9))=24](https://tex.z-dn.net/?f=%2810-2%289%29%29%2815-2%289%29%29%3D24)
![24=24](https://tex.z-dn.net/?f=24%3D24)
LHS = RHS
Substitute x = 3.5
![(10-2(3.5))(15-2(3.5))=24](https://tex.z-dn.net/?f=%2810-2%283.5%29%29%2815-2%283.5%29%29%3D24)
![24=24](https://tex.z-dn.net/?f=24%3D24)
LHS = RHS
So, The width of the border can be 9 feet or 3.5 feet.