3 years ago

Convert the following into the standard form of a circle. 100 = 3(x - 2)2 + 3(y + 3)2

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

6x + 6y + 6 = 100

Step-by-step explanation:

using distributive property will help you solve this equation

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Give one verbal expression (VE) and its equivalent algebraic expression (AE).

emmasim [6.3K]

Answer:

A few examples:

VE: Three more than two times the temperature.

AE: 2x+3

VE: The money I have decreased by two thirds of the money you have.

AE: x - (2/3)y

VE: The number of friends I have increased by four times the amount of friends you have.

AE: x + 4y

Let me know if this helps!

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2 years ago

Which expression is equivalent to [(3xy^-5)^3/(x^-2y^2)^-4]^-2?

Mademuasel [1]

Answer:- a.The given expression is equivalent to $\frac{x^{10}y^{14}}{729}$

Given expression:- $[\frac{(3xy^{-5})^3}{(x^{-2}y^2)^{-4}}]^{-2}$

$=[\frac{(3)^3x^3y^{-5\times3}}{x^{-2\times-4}y^{2\times-4}}]^{-2}.........(a^m)^n=a^{mn}$

$=[\frac{27x^3y^{-15}}{x^8y^{-8}}]^{-2}$

$=[27x^{3-8}y^{-15-(-8)}]^{-2}............\frac{a^m}{a^n}=a^{m-n}$

$=[27x^{-5}y^{-7}]^{-2}=(27)^{-2}(x^{-5})^{-2}(y^{-7})^{-2}.........(a^m)^n=a^{mn}$

$=\frac{1}{(27)^2}(x^{10}y^{14})=\frac{x^{10}y^{14}}{729}$

Thus a. is the right answer.

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Answer:

4/10 is the answer

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