PLEASE HELP WILL GIVE BRAINLIEST Which of the following scale factors will result in an enlargement? A. k < –1 B. –1 < k &
1 answer:
Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:
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1. Ans: Option (B) 
Explanation:
Given:
Take the common out:
=>
Hence: =>![[tex]-6x^4](https://tex.z-dn.net/?f=%5Btex%5D-6x%5E4)
[/tex] (Option B)
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: => (Option D)
3. Ans: Option (B)
<span> quadratic trinomial
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=> (Option B)
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
<span>
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard = - 
=> Final area of the Yard =
(Option D)
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot= -
=> Final area of the lot = (Option A)
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Explanation:
Given:
Take the common out:
=>
Hence: =>
2. Ans: Option (D)
Explanation:
Given:
Take the common term(s) out:
=>
Hence: =>
3. Ans: Option (B)
Explanation:
</span>Given:
The standard form of polynomial function must have the highest powered value at the start, then the second highest and so on.
=>
=>
4. Ans: Option (C)
Explanation:
In order to find the total number of C<span>ommon and Endler's guppies, you need to add both Common and Endler's guppies' polynomials, as follows:
</span>Common guppies:
Endler's guppies: </span>
(add both)
-----------------------------------------------------------------
Total number:
-----------------------------------------------------------------
Hence the ans is Option(C)
5. Ans: Option (D)
Explanation:
First let's find the total area of the yard:
Total Area of the Yard = 14x * 19x =
Now the area of the circular fountain:
Area of the Circular Fountain =
Since, r=6x
Therefore,
Area of the Circular Fountain =
Now the final Area of the yard would be:
Final area of the Yard = Total Area of the Yard - Area of the Circular Fountain
Final area of the Yard =
=> Final area of the Yard =
6. Ans: Option (A)
Explanation:
First let's find the total area of the lot:
Total Area of the lot= 6x * 10x =
Now the area of the stadium:
Area of the stadium = 1x * 4x =
Now the final Area of the lot would be:
Final area of the lot= Total Area of the lot - Area of the stadium
Final area of the lot=
=> Final area of the lot =
-i