3 years ago

Which of the following correctly gives the center and radius of the circle defined by the equation

Mathematics

1 answer:

andrezito [222]3 years ago

3 0

Answer:

The center is =(3,−2) = 3

Step-by-step explanation:

Factorise(x−3)2+(y+2)2=32

The center is =(3,−2) and the radius is =3

graph{(x^2+y^2-6x+4y+4)=0 [-14.08, 8.11, -5.51, 5.58]}

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Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ cross multiply

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

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3 years ago

6.Find the equation of the line: through: (-2, 3) and (1,5)

prohojiy [21]

Answer:

y=2/3x+4.3

Step-by-step explanation:

y=mx+c

(5-3)/(1--2)

2/3= gradient

y=2/3x +c

5=2/3(1)+c

-2/3

4.3=c

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3 years ago

270 is 90% of what number?

mylen [45]

90 percent of 300!!!!!!!!!!!!!!!!!!!

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3 years ago

745,651 rounded to the nearest hundred thousand

sveticcg [70]

745,651
745,650
745,700
746,000
750,000
800,000

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3 years ago

The slope for the pairs (2,1),(0,0)

Mandarinka [93]

The slope of the line is m=1/2

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4 years ago

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