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Arte-miy333 [17]
2 years ago
12

What is the factor form of n^-25 (n—25)(n-1) (n-5)(n+5) (n+5)(n+5) (n-25)(n+1)

Mathematics
1 answer:
Anon25 [30]2 years ago
6 0
To solve this problem you must apply the proccedure shown below:
 1- You have the following quadratic expression <span>n^2-25. 
 2. When you factor, you obtain:
 (n-5)(n+5)
 3. To verify this is true, you can apply the distributive property, as below:
 </span><span>n^2+5n-5n-25
 </span><span>n^2+25
 Therefore, as you can see, the answer is the second option, which is:
 (n-5)(n+5)</span>
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Answer:

They are similar by the definition of similarity in terms of a dilation

Step-by-step explanation:

The given vertices of triangle ΔABC are;

A(1, 5), B(3, 9), and C(5, 3)

The vertices of triangle ΔDEF are;

D(-3, 3), E(-2, 5), and F(-1, 2)

Therefore, we get;

The length of segment, \overline{AB} = √((9 - 5)² + (3 - 1)²) = 2·√5

The length of segment, \overline{BC} = √((9 - 3)² + (3 - 5)²) = 2·√10

The length of segment, \overline{AC} = √((5 - 3)² + (1 - 5)²) = 2·√5

The length of segment, \overline{DE} = √((5 - 3)² + (-2 - (-3))²) = √5

The length of segment, \overline{EF} = √((2 - 5)² + (-1 - (-2))²) = √10

The length of segment, \overline{DF} = √((2 - 3)² + (-1 - (-3))²) = √5

∴ \overline{AB}/\overline{DE} = 2·√5/(√5) = 2

\overline{BC}/\overline{EF} = 2·√10/(√10) = 2

\overline{AC}/\overline{DF} = 2·√5/(√5) = 2

The ratio of their corresponding sides are equal and therefore;

ΔABC and ΔDEF are similar by the definition of similarity in terms of dilation.

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The inequality representing the second line is y > x + 4

Therefore, the first line is a solid horizontal line with the shaded region above the line

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