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2 years ago

This is for today someone help me!!!

Mathematics

1 answer:

Dmitry [639]2 years ago

7 0

Answer:

Centre = (2, -3)

radius = 5units

Step-by-step explanation:

The standard form of a circle is expressed as;

x²+y²+2gx+2fy+c = 0

Centre = (-g, -f)

radius r = √g²+f²-c

Given the equation;

x²+y²-4x+6y-12 = 0

Compare

2gx = -4x

2g = -4

g = -2

Similarly;

2fy = 6y

2f = 6

f = 3

Centre = (-(-2), -3)

Centre = (2, -3)

Radius = r = √(-2)²+3²+12

r = √4+9+12

r = √25

r = 5 units

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3x+2y=23 1/2x-4=y What should I do for this one...? I dont really understand

Hitman42 [59]

Since you have y alone on one side of the equation......

Use substitution and plug in 1/2x-4 for y in the other equation.

$3x+2(1/2x-4)=23\\$

Distribute

$3x+x-8=23$

Combine like terms

$4x-8=23$

Add 8 to both sides

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Divide by 4

and $x=31/4$

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$31/4*1/2-4=y$

Simplify

$31/8-4=y$

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2 years ago

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3 years ago

Which of the following options have the same value as

Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(D) 65 * 20

Answer:

Option A has the same value as 65% of 20

Step-by-step explanation:

Let x be the value of 65% of 20

$x = 65\% of 20$

$x = \frac{65}{100} \times 20$

$x =0.65 \times 20$

$x =13$

Thus 65% of 20 is 13

Now ,

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=> $(0.65) \cdot (20)$

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Solving Option B

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=> $\frac{\frac{65}{100}}{20}$

=> $\frac{0.65}{20}$

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Solving Option D

=> 65 * 20

=> $65 \times 20$

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2 years ago

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Answer:

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