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3 years ago

Determine the measure of CD from the diagram below. A E 809 88

Mathematics

1 answer:

jeka57 [31]3 years ago

3 0

Answer:

Step-by-step explanation:

line AC is equal to line DB

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What is the difference x/x^2-16-3/x-4

kenny6666 [7]

General Idea:

When simplifying a rational expression, we need to do the below steps:

(i) Factor the Denominator of each fraction

(ii) Identify the Least Common Denominator (It is the product of prime factors involved with its highest exponent)

(iii) Identify and rewrite the equivalent fraction with the desired LCD.

(iv) Once the denominator are same, Combine the numerator.

Applying the concept:

What is the difference x/x^2-16-3/x-4

I assume that you mean to type the expression $\frac{x}{x^{2}-16} -\frac{3}{x-4}$

Step 1: Factoring $x^{2} -16$

$x^{2} -16=x^{2} -4^{2} =(x+4)(x-4)$

Step 2: Identifying the LCD, we get $(x+4)(x-4)$

Step 3: Rewriting the second fraction by multiplying x+4 on both top and bottom of second fraction so that we get the LCD.

$\frac{x}{x^2-16}-\frac{3}{x-4}=\frac{x}{(x+4)(x-4)} -\frac{3*(x+4)}{(x-4)*(x+4)} Step 4: Combine like terms since the denominators are same[tex] \frac{x-3(x+4)}{(x+4)(x-4)} =\frac{x-3x-12}{(x+4)(x-4)}=\frac{-2x-12}{(x+4)(x-4)} =\frac{-2(x+6)}{(x+4)(x-4)}$

Conclusion:

In factored form the simplified expression $=\frac{-2(x+6)}{(x+4)(x-4)}$

In expanded form the simplified expression $=\frac{-2x-12}{x^2-16}$

8 0

3 years ago

Find the perimeter of the polygon

podryga [215]

1. Add all of the sides

So it should be 22

3 0

3 years ago

Read 2 more answers

Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas c

MrRissso [65]

Answer:

P's surface area is less than Q's surface area

4 0

3 years ago

For this item, complete the choice matrix by clicking the appropriate answer in each row.

Vesna [10]

That person is really smart good job

8 0

3 years ago

Read 2 more answers

A chain of sports shops catering to beginning skiers, headquartered in Aspen, Colorado, plans to conduct a study of how much a b

Hitman42 [59]

Answer:

47.4 ;

Step-by-step explanation:

Given the data :

X ($) : 85 139 161 175 85 133 149 145 136 131 290 235 132 149 322 214 105 90 162 229 121 113 149 126139 118 156 214 172 87 172 230 195 126 128 142 118 139

The smallest class interval :

Range / number of classes

Number of classes to use = 5

Range = Maximum - Minimum = (322 - 85) =237

Hence, smallest class interval :

237 / 5 = 47.4

A better class interval would be, one without decimal, rounded to the nearest 10; this will be easier and make more statistical sense

Hence, smallest class interval rounded to the nearest 10 :

47.4 = 50 (nearest 10)

3 0

3 years ago