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Length of Segments Practice
the the darom below to annwer questions

A rational number is a number that can be expressed as a fraction of integers.

The conclusion the student can make about product xy is that:

D- the product ry is rational because it can be written as the quotient of an Integer and a nonzero Integer.​

Given that:

[tex]x = \frac ab[/tex]

[tex]y = \frac cd[/tex]

The product xy is:

[tex]x \times y = \frac ab \times \frac cd[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

From the question, we understand that:

[tex]Integers \to a, c[/tex]

This means that, ac would be an integer (by closure property)

Also:

[tex]Non\ zero \to b,d[/tex]

This means that, bd would be non-zero i.e. [tex]bd \ne 0[/tex]

So, we have:

[tex]x \times y = \frac{ac}{bd}[/tex]

[tex]x \times y = \frac{Integer}{Non\ zero}[/tex]

The quotient of an integer and a non-zero integer is always be rational.

Hence, option (d) is correct.

Read more about rational numbers at:

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Answer:

This is the answer to your question

Answer:

36°, 54°, 90°

Step-by-step explanation:

2:3:5 equal 10 parts in total

there are a total of 180 degrees in a triangle

180°/10 = 18°

2(18°) = 36°

3(18°) = 54°

5(18°) = 90°

Answer:

1/2f(x-5)+4

Step-by-step explanation:

the base function x^3 then the transformations happen.

1) f(x) becomes f(x-5)

2)+4 is added to the end of the equation f(x-5)+4

3)add 1/2 to the beginning of f(x)    1/2f(x-5)+4

Input any cubic function for f(x)

Answer:

It should I only looked at the first few columns and the matched up

Step-by-step explanation:

Answer:

{7, 21, 28}

Step-by-step explanation:

In order for three sides to add up to a triangle, the two shorter sides must have a sum of greater than the longest side.

Since 7 + 21 = 28, and 28 = 28, that group of sides cannot add up to be a triangle.

Have a nice day!

Answer:

Its B, If P is the total amount of $ you would divide by 12 to find the number of times she took the garbage out

Answer:

5/10 as a decimal = 0.5

Step-by-step explanation:

5 (numerator) /10 (denominator)

Here's the little secret you can use to instantly transform any fraction to a decimal:

Simply divide the numerator by the denominator:

= 5/10

= 5 ÷ 10

= 0.5

Answer:

Step-by-step explanation:

See attached diagram (not to scale).

All given details reflected.

a) Find the measure of XZ using the law of cosines:

b) Now using the law of sines find the measure of angle X:

The bearing of Z from X is:

Answer:

Step-by-step explanation:

f(x)= (x - 3)(x - 5)

f(x) = x^2 - 5x - 3x + 15

f(x) = x^2 - 8x + 15

Answer is A

Answer:

Step-by-step explanation:

The one that doesn't work with the other three is B. Nine cubed is huge compared to just plain 9 or 3^2. The other three each are equal to one another especially if you remove the brackets in D.

9 c^(2*3) * d^(3*3)

9 c^6 d^9

Answer:

$200.00/$25.50 = g

Step-by-step explanation:

200.00 / 25.50 = 7 games

Answer: 9.24

Step-by-step explanation:

12*77 = 924

= 9.24

The answer to the given question is estimating 12% (percent) of 77, we get the answer 9.24.

To calculate 12% of 77 precisely, we can use the following formula: percent / 100 × given number

= 12% of 77

= (12/100) × 77

= 9.24

Therefore, 12% of 77 is 9.24.A percentage is a way of expressing a number as a fraction of 100. The symbol "%" is used to is used to indicate a percentage. For example, if we say that something is 25%, we mean that it is 25 out of 100 or 0.25 as a decimal. Percentages are used in many different areas, such as finance, statistics, and science. They can be used to represent proportions, rates of change, or as a way to compare different quantities. One common use of percentages is to calculate percentage change or increase. This is done by finding the difference between two values and expressing it as a percentage of the original value.

To learn more about Percentages click here

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Answer:

Fourths

Step-by-step explanation:

If all the sides of the triangle added together is equal to P, then the sides of the new triangle would be P/4. Therefore the answer would be fourths.

Answer:

4.222222 or jus 4.2 with - over the 2 to indicate multiple 2's

Answer:

4.875

Step-by-step explanation:

Pretty simple, just divide the numerator by the denominator.

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4) = 4( 0.5x - 0.7x  + 2.5y - 1.3y + 4)

= 4( -0.2x  + 1.2y + 4)

= 4*(-0.2x)  + 4 *1.2y + 4*4

= -0.8x + 4.8y + 16

Answer:

-0.8x + 4.8y + 16

Step-by-step explanation:

hope this helps

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

[tex]y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}[/tex]

Hope this helps.

Answer:

I believe the answer is D: Percentages

Step-by-step explanation:

I believe this is the answer because relative frequency is also titled as another approach to probability that is described in either proportions or percentages.

Answer:

The value of this expression is -7

Answer:

it looks like x is increasing and y is decreasing

Step-by-step explanation:

Answer:

40% of people get their wishes to come true. Since you have read this, at exactly 1:44 P.M., you will be told news that will surprise you. Now it's said that if you copy and paste this 4 times and comment this in the next 2 minutes and 34 seconds you will have the choice to make a wish or not in your dreams. If you don't copy and paste it, 18 hours of unluckiness will start at 6:42 A.M.. Also, if you have a dog as a pet the chances of this working are 93%.

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90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on eight comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.!

Answer:

192

Step-by-step explanation:

8 x 24 = 192

Answer:

let me try this first and then I will help you is it ok

Answer:

Step-by-step explanation:

0.34/ 0.14

0.621/ 0.512

0.536/ 0.612

0.64 - 0.12

0.12 - 0.36

0.59 - 0.25

0.5123 x 0.51232

0.593920 x 0.0591923

0.59129 x 0.5919232

Answer:

36 miles per gallon (mpg)

Step-by-step explanation:

To solve this problem, you are going to divide the total miles driven by the total gallons of gas used. This will mean that you will divide 1008 miles by 28 gallons. This will result in a final answer of 36 miles per gallon. My work is below and please let me know if you have any questions!

1008 / 28 = 36 miles per gallon

Answer:

1 gallon = 36 miles

Step-by-step explanation:

In order to find out you need to divide 2008 miles by 28 gallons