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forsale [732]
4 years ago
8

Find the difference. express your answer in simplest form. (5s/s^2-10s+25) - (25/s^2-10s+25)

Mathematics
1 answer:
den301095 [7]4 years ago
3 0
To solve this problem  you must apply the proccedure shown below:

 1. You have the following expression:

 <span>(5s/s^2-10s+25) - (25/s^2-10s+25)

 2. As you can see, they have the same denominator, therefore, you can rewrite it as below:

 (5s-25)/</span> (25/s^2-10s+25)

 3. When you factor ir, you obtain:

 5(s-25)/(s-5)(s-5)

 3. Simplifying:

 5/(s-5)
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What is the simplified form of x minus 4 over x squared minus x minus 12 ⋅ x minus 4 over x squared minus 8x plus 16 ?
Ugo [173]

Answer

1 / (x + 3)(x + 4)

That is, 1 over the quantity x plus 3 times the quantity x minus 4.

Step by step explanation

The given expression = \frac{x-4}{x^2 - x - 12} . \frac{x-4}{x^2 - 8x + 16}

Let's factor the denominators.

= \frac{x-4}{(x - 4)(x + 3)} .\frac{x-4}{(x - 4)(x - 4)}

Cancelling (x- 4) both in the numerator and the denominator, we get

= \frac{1}{(x + 3)} .\frac{1}{(x- 4)}

= 1/(x + 3)(x - 4)

The answer is 1 over the quantity x plus 3 times the quantity x minus 4.

Thank you.

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3 years ago
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A line segment that has both endpoints on the circle and passes through the center of the circle
blsea [12.9K]
Diameter is the answer 
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3 years ago
4. Sketch two triangles (You do not have to provide the sketch). Label the lengths of the sides of Triangle A as 3, 4, and 5. La
weqwewe [10]
The answer 
let 's consider the triangle A,
the height is 4
the basis is 3
the hypotenuse 5

A is a right triangle
<span>.a) the sum of the measures of the acute angles of any right triangle is 90°
proof:
the sum of angles in a right triangle is 180° 
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b) <span>Write the tangent ratios for the acute angles of Triangle A
</span>    by using definition, tan = opposite side / adjacent side
let's condider the acute angle 30°
 tan 30° = 3/4, because opposite side =3 and adjacent side=4
 for the other one, applying the some method we found:
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we can find also he tangent ratios for the acute angles of Triangle B, by using the same method as given above:
tan 30° = 5/12, because opposite side =5 and adjacent side=12
 for the other one, applying the some method we found:
 tan 60°= 12/13
the main <span>rule describing the relationship between the tangents of the acute angles of any right triangle is 
</span>tangente =  opposite side / adjacent side



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3 years ago
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nataly862011 [7]

Answer:

1. 1,800

2. 500

3. 36,500.03

4. 86.3

Step-by-step explanation:

If you need me to show the work comment and I'll send it to you.

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