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Gre4nikov [31]
3 years ago
13

Please help me photo include

Mathematics
1 answer:
nikklg [1K]3 years ago
5 0

Answer:

\frac{-117}{10}

Step-by-step explanation:

1) Change the mixed fractions into improper fractions:

-3\frac{1}{5} + (-8\frac{1}{2} )\\= \frac{-16}{5} - \frac{17}{2}

2) Multiply the first fraction by 2/2 and the second fraction by 5/5 in order to create common factors on the denominator (You can do this because you are essentially multiplying by one, for example 2/2 = 1):

\frac{-16}{5} *\frac{2}{2}  - \frac{-17}{2} * \frac{5}{5} \\ =\frac{-32}{10} - \frac{85}{10}

3) Simplify the numerator(top part) while keeping the denominator(bottom part) the same:

\frac{-32}{10} -\frac{85}{10}  \\\\=\frac{-32 - 85}{10}\\ \\= \frac{-117}{10}

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Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
3 years ago
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zalisa [80]

\huge\boxed{y+4=3(x+2)}

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Simplify the negative subtraction to addition. \boxed{y+4=3(x+2)}

8 0
3 years ago
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Maksim231197 [3]

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Step-by-step explanation:

7 0
3 years ago
HELLLLLLLLLLLLLLLLLLLLLLLP PLEASEEEEEEEEEEEEEEEEEEE HELLLLLLLLLLLLLLLLLLLLLLP PLEASEEEEEEEEEEEEEEEE
natali 33 [55]

Answer:

$333.33

Step-by-step explanation:

This question is a little bit confusing, but I am assuming you mean to say that the 72% of the total pay, which is the amount he took home, is $240. So, then you can set up a proportion to solve the problem.


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Then, you multiply the proportion out, getting 72x = 240*100

multiply the right side out and then divide by 72 to get $333.33

4 0
3 years ago
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Flura [38]

Answer:

<h2>The area of the triangle ABC is 32 square inches.</h2>

Step-by-step explanation:

We know that the given triangle is a right-isosceles triangle, which means its leg are equal.

The area of a triangle is defined as

A=\frac{1}{2}bh

Where b=8 and h=8. Replacing values, we have

A=\frac{1}{2} \times 8 \times 8 = 32 \ in^{2}

Therefore, the area of the triangle ABC is 32 square inches.

7 0
3 years ago
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