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Blababa [14]
2 years ago
5

(2x+3y)²+(2x-3y)²

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
4 0

Answer:

<h3>d) </h3><h3>2 ({(2x)}^{2}  +  {(3y)}^{2} ) \\</h3>

Step-by-step explanation:

{(2x + 3y)}^{2}  +  {(2x - 3y)}^{2}  \\ (2x + 3y)(2x + 3y) + (2x - 3y)(2x - 3y) \\ 2x(2x + 3y) + 3y(2x + 3y) + 2x(2x - 3y) - 3y(2x - 3y) \\  {4x}^{2}  + 6xy + 6xy +  {9y}^{2}  +  {4x}^{2}  - 6xy - 6xy  +  {9y}^{2}  \\  {4x}^{2}  + 12xy +  {9y}^{2}  +  {4x}^{2}  - 12xy   +   {9y}^{2}  \\  {4x}^{2} +  {9y}^{2}   +  {4x}^{2}   +  {9y}^{2} \\ {8x}^{2}  +  {18y}^{2}  \\ 2( {4x}^{2}  +  {9y}^{2} ) \\ 2( {2}^{2}  {x}^{2}  +  {3}^{2}  {y}^{2} ) \\ 2({(2x)}^{2} + {(3y)}^{2}) \\

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A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems
Anit [1.1K]

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

3 0
3 years ago
What are orderd pairs for y=3x+4
Advocard [28]

Answer:

the ordered pairs should be y and x

Step-by-step explanation:

8 0
3 years ago
A frame designer is making a triangular frame. She has two sides of length 18 inches and 27 inches. What are the possible length
zlopas [31]

Answer:

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

Step-by-step explanation:

For the above question, we have a rule, the sum of the length of any two sides of the triangle must be greater than the length of the third side.

Hence:

She has two sides of length 18 inches and 27 inches

Let the third side = x

Hence:

a) 18 + 27 > x

45 > x

b) 18 + x > 27

x > 27 - 18

x > 9

Therefore, the possible lengths (in whole inches) for the third side is

9 inches < x < 45 inches

5 0
3 years ago
Roll a fair six sided die 1000 times. Out of 1000 rolls how many times an even number
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Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
2 points) Suppose w=xy+yzw=xy+yz, where x=et, y=2+sin(t)x=et, y=2+sin⁡(t), and z=2+cos(3t)z=2+cos⁡(3t). A ) Use the chain rule t
Olenka [21]

Answer:

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

Step-by-step explanation:

First, note that

\frac{\partial x}{\partial t}  = e^{t} \\\frac{\partial y}{\partial t}  = cos(t)\\

And using the chain rule in one variable

\frac{\partial z}{\partial t}  = -3sin(3t)

Now remember that the chain rule in several variables sates that

\frac{\partial w}{\partial t}  = \frac{\partial w}{\partial x} * \frac{\partial x}{\partial t} + \frac{\partial w}{\partial y} * \frac{\partial y}{\partial t} + \frac{\partial w}{\partial z} * \frac{\partial z}{\partial t}

Therefore the chain rule in several variables would look like this.

\frac{\partial w}{\partial t}  = y(e^t) +(x+z)*(cos(t))  - 3y*sin(3t)

6 0
3 years ago
Read 2 more answers
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