6x2−17xy+12y2 and please show work!!

Answers

Answer 1

Answer:

Answer:

12+7y

Step-by-step explanation:

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A rectangle has an area of 30 square meters and a perimeter of 34 meters. What are the dimensions of the rectangle?

Answers

$The\ rectangle:a\ *\ b\n\n \left\{\begin{array}{ccc}ab=30\n2a+2b=34&/:2\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na+b=17\end{array}\right\n\n\left\{\begin{array}{ccc}ab=30\na=17-b\end{array}\right\n\nsubstitute:\n\n(17-b)b=30$

$-b^2+17b-30=0\n\na=-1;\ b=17;\ c=-30\n\n\Delta=b^2-4ac\n\n\Delta=17^2-4\cdot(-1)\cdot(-30)=289-120=169;\ \sqrt\Delta=√(169)=13\n\nb_1=(-17-13)/(2\cdot(-1))=(-30)/(-2)=15;\ b_2=(-17+13)/(2\cdot(-1))=(-4)/(-2)=2\n\na_1=17-15=2;\ a_2=17-2=15\n\nAnswer:The\ rectangle:15m\ *\ 2m.$

Answer:

15m x2m

Step-by-step explanation:

How do you simplify 3:9:15:24

Answers

All of those numbers have a common factor, which is 3. So you divide all of their values by 3.

3:9:15:24
=1:3:5:8

Because the values cannot be divided anymore, this ratio is in it's simplest form.

Factor completely: 81x^4 – 1A. (9x + 1)(9x – 1)
B. (9x^2 + 1)(9x^2 – 1)
C. (3x^2 + 1)^3(3x – 1)
D. (9x^2 + 1)(3x + 1)(3x – 1)

Answers

Using this: a²-b²=(a+b)(a-b)

81x^4-1=

(9x²)²-1=

(9x²-1)(9x²+1)= (in the bold half we use the formula again)

(3x+1)(3x-1)(9x²+1)

So the answer is D

$81x^4-1=\n(9x^2)^2-1^2=\n(9x^2+1)(9x^2-1)=\n(9x^2+1)((3x)^2-1^2)=\n(9x^2+1)(3x+1)(3x-1)$

The diameter of a circular rug is 5.6 feet. What is the radius?

Answers

The radius is half of the diameter, so lets divide 5.6 by 2 and get what our radius is. The radius is 2.8.

the diameter is half the radius so,
2.8 ft

Jan has $37.50. tickets to concert cost $5.25 each. how many tickets can she buy

Answers

$x-\ number\ of\ tickets\n\nTo\ find\ number\ of\ tickets\ divide\ all\ money\ that\ he\ has\ and \n next\ divide\ by\ cost\ of\ one\ ticket\n\nx=(37.5\$)/(5.25\$)=7.14....\n\nHe\ can\ buy\ 7\ tickets.$

How do you do 8y + 5 - 4y +1 =46

Answers

Answer:

Y=10

Step-by-step explanation:

You need to isolate the variable "y"

To do this simply subtract the whole numbers, 5 and 1, from the left side of the equation and add the y values together.

This leaves you with "8y-4y=46-5-1" which simplifies to "4y=40"

Now you simply divide both sides of the equation by the number with the variable y, being 40/4 , leaving you with "y=10"

Final answer:

To solve the equation 8y + 5 - 4y +1 = 46, first simplify the left side by combining like terms. Then isolate the variable by subtracting and dividing to solve for y.

Explanation:

To solve the equation 8y + 5 - 4y +1 = 46, we first simplify the left side by combining like terms. 8y - 4y = 4y, and 5 + 1 = 6. So, the equation becomes 4y + 6 = 46. Next, we isolate the variable by subtracting 6 from both sides of the equation. This gives us 4y = 40. Finally, we divide both sides of the equation by 4 to solve for y. So, y = 10.

Learn more about Equation solving here:

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