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3 years ago

This is my last question. Please help me!

Mathematics

1 answer:

sesenic [268]3 years ago

3 0

Okay so first you want to simplify the given equation (7x+3y)(7x-3y)

in order to do this you multiply the first number of the first equation (7x) with the first number of the second equation (7x) this gives you 49x^2

Now you want to multiply the second number of the first equation (3y) by the second number of the second equation (-3y) this gives you -9y^2

Its as easy as pie!

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D would be the correct answer

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3 years ago

The area of the square is 1 square unit. Two small triangles can be put

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1 year ago

I DONT KNOW THESE! HELP!

kkurt [141]

Answer:

20. x = 5, y = -2

21. x = 11, y = 12

22. x = 22, y = 11

23. x = 11, y = 10

Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

Solve this system of two equations:

$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

Substitute it into the first equation:

$2\cdot (-2)-3x=-19\\ \\-3x=-19+4\\ \\-3x=-15\\ \\x=5$

21. Opposite angles in the parallelogram are congruent, so

$11x+5=10y+6$

Consecutive angles are supplementary, so

$6x-y+11x+5=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

From the second equation

$y=17x-175$

Substitute it into the first equation:

$11x-10(17x-175)=1\\ \\11x-170x+1750=1\\ \\-159x=-1749\\ \\x=11\\ \\y=17\cdot 11-175=187-175=12$

22. Opposite angles in the parallelogram are congruent, so

$2x-5=3y-12$

Consecutive angles are supplementary, so

$2x-5+7y+x=180^{\circ}$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-3y=-7\\ \\3x+7y=185\end{array}\right.$

From the first equation

$x=-3.5+1.5y$

Substitute it into the second equation:

$3(-3.5+1.5y)+7y=185\\ \\-10.5+4.5y+7y=185\\ \\-105+45y+70y=1,850\\ \\115y=1,850+105\\ \\115y=1,955\\ \\y=17\\ \\x=-3.5+1.5\cdot 17=22$

23. Opposite sides in the parallelogram are congruent, so

$2x+9=4y-9\\ \\3x-5=2y+8$

Solve this system of two equations:

$\left\{\begin{array}{l}2x-4y=-18\\ \\3x-2y=13\end{array}\right.$

Multiply the second equation by 2 and subtract it from the first equation:

$2x-4y-2(3x-2y)=-18-2\cdot 13\\ \\2x-4y-6x+4y=-18-26\\ \\-4x=-44\\ \\x=11$

Substitute it into the first equation:

$2\cdot 11-4y=-18\\ \\-4y=-18-22\\ \\-4y=-40\\ \\y=10$

3 0

3 years ago

Does a rectangular prism with more surface area than the other also have more volume

Jobisdone [24]

Yes; If it has more surface area, it is bigger, which means that there is more volume total.

3 0

3 years ago

Read 2 more answers

Maggie has 3 binders with 25 stamps in each binder She has 5 binders with 24 baseball cards in each binder. if she gives 35 stam

madreJ [45]

Your goal of this problem is to find the total amount of cards and stamps and then subtract 35 stamps from that number.

To do this, you first must find your total stamps.

3 binders x 25 stamps = ________ Total Stamps

Now find your total cards.

5 binders x 24 cards = ________ Total Cards

Now take these two totals and add them to find your grand total of items.

______ Total Cards + _______Total Stamps = ________ Grand Total

Now take your grand total and subtract 35 from it to find your answer.

_______ Grand Total - 35 stamps = _______Answer!!! :)

8 0

3 years ago