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Katyanochek1 [597]
3 years ago
14

Simplify (4x+5y)(2x-3y)+3xy Help

Mathematics
1 answer:
amid [387]3 years ago
3 0

Answer:

8x² - 15y² + xy

Step-by-step explanation:

(4x + 5y) (2x - 3y) + 3xy

multiplying the terms in brackets

(4x) (2x - 3y) + (5y) (2x - 3y) + 3 xy

multiplying with each terms inside the bracket

(4x)(2x) - (4x) (3y) + (5y) (2x) - (5y) (3y) + 3xy

doing the product each of the pair of terms

8x² - 12xy + 10xy - 15y² + 3xy

taking the sum of terms with coefficient "xy"

8x² - 15y² -2xy + 3xy

8x² - 15y² + xy


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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),
Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using distance formula, we get

AB=\sqrt{(-4-(-4))^2+(-1-7)^2}

AB=\sqrt{(-4+4)^2+(-8)^2}

AB=\sqrt{0+64}

AB=8

Similarly,

BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8

CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8

AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8

All sides of parallelogram are equal.

AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}

BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0
3 years ago
Your friend takes a job cleaning up a neighbors yard and mowing the grass, and asks you and two other friends to help. Your frie
nadezda [96]

Answer:

$100

Step-by-step explanation:

when you read the context you have your friend which is (1), than she asks (You (1) and (Two (2) other friends to help.

Add

Friend + You + Two other friends= 4

Now Divide 100/4= 25

hope this helps

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3 years ago
Neptune is 4.5 billion kilometers from the<br> sun. Represent this number in scientific<br> notation
Tanya [424]

Answer:

4.5 x 10 ^9

Step-by-step explanation:

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3 years ago
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A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and
baherus [9]
x + y = 4,000
0.1x + 0.04y = 352

Product A represents x and product B represents y. The first equation is the total number of items the store owner buys. The second equation is cost per item for both products. The above system of equations can be used to determine how much product A and product B the store owner bought. 


8 0
3 years ago
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Consider the function g(x) = sqrt(x + 4) - 6 which function has the same y-intercept as this function?
Inga [223]

Answer:

a)

f(x) = \frac{4}{x-8} - 3.5

Step-by-step explanation:

The y intercept of g(x) is the value of g when x = 0.

In this problem

g(x) = \sqrt{x+4} - 6

The y-intercept is

g(0) = \sqrt{0+4} = \sqrt{4} - 6 = 2 - 6 = -4

a)

f(x) = \frac{4}{x-8} - 3.5

The y-intercept is:

f(0) = \frac{4}{0-8} - 3.5 = -0.5 - 3.5 = -4

This is the correct answer

b)

f(x) = -\frac{4}{x} - 1

The y-intercept is

f(0) = -\frac{4}{0} - 1

This is an asymptote

c)

f(x) = 2|x+2|

The y-intercept is

f(0) = 2|0+2| = 4

d)

f(x) = |x - 4|

The y-intercept is

[tex]f(0) = |0-4| = |-4| = 4.

7 0
3 years ago
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