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3 years ago

Example 3 Could x^2+y^2+AX +????Y +????=0 represent a circle

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

8 0

Answer: Yes it could

Step-by-step explanation:

The equation given is a circle. For an equation to represent equation of a circle, the following conditions must be met

1.) The coefficient of x² and y² must be the same

2) The equation must have a linear function containing x and y like AX and ???Y in the equation above.

Since the equation given conforms with the general of a circle x²+y²+2gx+2fy+c = 0, therefore the equation could represents a circle

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What is the 7th term of the geometric sequence where a1 = -625 and a2 = 125

kykrilka [37]

Since the sequence is geometric, there is some constant $r$ such that the sequence is recursively given by

$a_n=ra_{n-1}$

By this definition, you can recursively substitute into the right hand side the definition for $a_{n-1},a_{n-2},\ldots$ to find an explicit formula for the $n$ th term.

$a_n=ra_{n-1}=r^2a_{n-2}=r^3a_{n-3}=\cdots=r^{n-1}a_1=-625r^{n-1}$

You know the second term, which means you can find $r$ :

$a_2=-625r^{2-1}\implies125=-625r\implies r=-\dfrac15$

So, the 7th term of the sequence is

$a_7=-625\left(-\dfrac15\right)^{7-1}=-\dfrac1{25}$

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3 years ago

Maritza's car has 16 gallons of gas in the tank. She uses 3/4 of the gas. How many gallons of gas does Maritza use?

Savatey [412]

Find 3/4 of 16.

16 * 3/4

48/4

12

<span>So she uses 12 gallons of gas.</span>

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3 years ago

1. What is the solution for<br> the inequality 4x < 12?

DedPeter [7]

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4x < 12

Divide both sides by 4:

x < 12/4

x < 3

That is your solution ^^

Have A Nice Day ❤

Stay Brainly! ヅ

- Ally ✧

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3 years ago

What is the solution of -8/2y-8=5/y+4-7y+8/y2-16

omeli [17]

The answer would be -0.102564 repeating because if you do the math before dividing you would get -8/6.5/-1.5/-8

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3 years ago

WILL GIVE BRAINLIEST Which expression is equivalent to x + 11?

larisa [96]

Answer:

11+x because the equation is reversabel.

Step-by-step explanation:

6 0

2 years ago