Solve the system.
9x2 + 4(y - 2)2 = 36
x² = 2y

Answers

Answer 1

Answer:

[tex]x =2[/tex]

[tex]y =2[/tex]

Step-by-step explanation:

Given

[tex]9x^2 + 4(y - 2)^2 = 36[/tex]

[tex]x^2 = 2y[/tex]

Required

Solve

Substitute:  [tex]x^2 = 2y[/tex] in [tex]9x^2 + 4(y - 2)^2 = 36[/tex]

[tex]9*2y + 4(y-2)^2 = 36[/tex]

[tex]18y + 4(y-2)^2 = 36[/tex]

Open bracket

[tex]18y + 4[y^2-2y - 2y + 4] = 36[/tex]

[tex]18y + 4[y^2-4y + 4] = 36[/tex]

Open bracket

[tex]18y + 4y^2-16y + 16 = 36[/tex]

Collect like terms

[tex]4y^2+18y-16y + 16 - 36 = 0[/tex]

[tex]4y^2+2y-20= 0[/tex]

Divide through by 2

[tex]2y^2+y-10= 0[/tex]

Expand

[tex]2y^2+5y - 4y-10= 0[/tex]

Factorize

[tex]y(2y + 5) - 2(2y + 5) = 0[/tex]

Factor out 2y + 5

[tex](y -2)(2y + 5) = 0[/tex]

Split

[tex]y - 2 =0\ or\ 2y + 5 = 0[/tex]

Solve for y

[tex]y =2 \ or\y = -\frac{5}{2}[/tex]

We have:

[tex]x^2 = 2y[/tex]

Make x the subject

[tex]x = \sqrt{2y[/tex]

The above is true for positive y values.

So: [tex]y =2[/tex]

This gives

[tex]x = \sqrt{2*2[/tex]

[tex]x = \sqrt{4[/tex]

[tex]x =2[/tex]


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Answer:

It would be A

Step-by-step explanation:

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Answers

82 I think that’s the answer because that’s my opinion if it’s wrong I don’t know what to tell you

I will give brainlest if you answer correctly

Answers

I hope this helped

Since it's a cube all sizes are equal

13.5 X 13.5 x 13.5 =

2460.365 m3

Answer:

3.375m^3

Step-by-step explanation:

Given surface area

=13.5m^2

[tex]6a^{2} =13.5m^{2} \\\\a^{2} =\frac{13.5}{6} =2.25\\\\a=\sqrt{2.25}=1.5m\\\\a^{3} =(1.5)^{3} \\\\=3.375 m^{3}[/tex]

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have a great day!!

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Answers

Answer:

66x40

Step-by-step explanation:

Answer:

x= 180 - (66+40)= 74

Tell whether the question is a statistical question. Explain.
Part 1

Answers

Answers:

Statistical questionNot a statistical questionStatistical question

==========================================

Explanations:

The phrasing here is a bit vague, but I think your teacher means "your" in the sense that it is directed at whoever is taking the survey and not a specific single person. If it was directed at exactly one person, and one person only, then no statistics are needed. You can simply count the number of songs on the device and that's the end of that story. However, when it comes to multiple people, statistics is used to give an idea of how the population is overall. Recall that the sample is supposed to represent the population, assuming no biases are present. I'll assume that your teacher is aiming for the more broader definition of "your" and that's why this is a statistical question. Similar reasoning will apply for problem 3.Unlike problems 1 and 3, this is not a statistical question. Why not? Because we know exactly how many feet are in 1 yard, and that will not change no matter what happens. It's simply a definition we set up earlier, and have stuck to. Having it change won't help things. Statistical questions address variables in which not only are allowed to change, but do so randomly (according to some pattern). Here we have 3 feet to a yard and no statistics are needed to address this.Similar to problem 1. I'm assuming your teacher is asking a broader audience and not exactly one single specific person. In this case, the name of the favorite movie would be considered qualitative categorical data, and also considered nominal as well. We don't have ordinal data because movies cannot be ordered or ranked, as that is subjective. I'm not considering alphabetical order. We have a statistical question here for the broader audience because the variable "favorite movie" is allowed to change, and is subject to some degree of randomness. Hence the phrasing "random variable".

Answer:

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Answers

Answer:

[tex]\huge \pink{ \boxed{ \sf{ \green{αηsωεя}}}} \ [/tex]

The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .

your answers
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Answers

Answer: 9a^4 - b^2

= (3a^2)^2 - b^2  

= (3a^2 + b)(3a^2 - b) using a^2 - b^2 = (a+b)(a-b)

hope it helps.

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Answers

Answer:

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Step-by-step explanation:

may i be marked brainliest

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Answers

Answer:

x=2

Step-by-step explanation:

x+19=21

subtract 19 so x can be by itself, move it to the 21 side

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Answer:

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Step-by-step explanation:

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Answers

Answer:

X= 2.4

Step-by-step explanation:

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Answers

Answer:

T = 4n - 5

Step-by-step explanation:

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Chloe = 2n

Dan = n - 5

n + 2n + (n - 5) = T years

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Answers

Answer:

12

Step-by-step explanation:

Have a Nice Day :)

I think it’s negative 13

Watch your signs close

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Answers

Answer:

It’s  -3

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-3^2+ (-4+7) (2)}[/tex]

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[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf -3}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

9514 1404 393

Answer:

  1,953,125

Step-by-step explanation:

The first term is a1 = 5; the common ratio is r = -25/5 = -5. The generic term is ...

  an = a1×r^(n-1)

  an = 5×(-5)^(n-1)

So, the 9th term is ...

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C. A musician had 1.2 x 102
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Answers

Answer:

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Step-by-step explanation:

Reed has an aquarium that holds 12 gallons of
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Answers

Answer:

48

Step-by-step explanation:

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Answers

Answer:

sometimes

Step-by-step explanation:

Answer:

sometimes

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Answers

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Step-by-step explanation:

14²-10²=96

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Answers

Answer:

X: 0,2

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Step-by-step explanation:

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Answers

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Answer:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:

Exact form = 1/216.

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Answers

Answer:

fhshegshffdfsfjdegddfhgfedhdrgdddetfrdesjdhgdhdjdjdhdhdjdjejdhdhdjdjhhgwhejdjdhdsewwhehsjrhdgddjdjfhwhdddfjfhshdjjhdhdjdjffjdjshwghhjrjehwhhejjfjfjejehekwkjjhfkwkejhsekskwjdjfjjt

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fhjjhcnncxfgnnng

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