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Mathematics, 26.06.2019 14:10 kchugues1241

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Answer from: simplychan

1. The equation of a circle with center (h,k) and radius r units is given by

(x-h)^2+(y-k)^2=r^2

The given circle has center (5,-2) and a radius r=3 units.

We substitute these values into the formula to get:

(x-5)^2+(y--2)^2=3^2

This simplifies to:

(x-5)^2+(y+2)^2=9

The correct answer is A.

2. The given circle has center (3,-5) and radius r=8 units.

We substitute the given values into the formula to obtain:

(x-3)^2+(y--5)^2=8^2

We simplify to get:

(x-3)^2+(y+5)^2=64

The correct answer is C

3. The given circle has equation:

(x+8)^2+(y+9)^2=169

We can rewrite this equation as:

(x--8)^2+(y--9)^2=13^2

Comparing this to

(x-h)^2+(y-k)^2=r^2

The center is (-8,-9) and the radius is 13.

The correct answer is A.

4. The given circle has equation:

(x-7)^2+y^2=225

We can rewrite this equation as:

(x-7)^2+(y-0)^2=15^2

Comparing this to

(x-h)^2+(y-k)^2=r^2

The center is (7,0) and the radius is 15.

The correct answer is B.

5. The given circle has center (-2,6) and passes through (-2,10).

We can use the number line to find the radius.

r=|10-6|=4

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get:

(x--2)^2+(y-6)^2=4^2

This simplifies to:

(x+2)^2+(y-6)^2=16

The correct answer is A

6. The given circle has center (1,2) and passes through (0,6).

We can use the distance formula to find the radius.

$r=\sqrt{(1-0)^2+(2-6)^2}=\sqrt{17}$

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get:

$(x-1)^2+(y-2)^2=\sqrt{17}^2$

This simplifies to:

(x-1)^2+(y-2)^2=17

The correct answer is C

ansver

Answer from: Quest

the correct answer is a) they believe they have a "just cause."

islamic terrorists justify their violent actions because they believe they have a "just cause."

every act of terrorism of islamic sects is done “in the name of allah”. that justifies their actions. islam people who commit those terrorist attacks are not afraid to die. that is why the attacks have horrible consequences. they know they are going to die and they are proud to do it because it is in the name of allah, so it is justified and is for a “good cause.”

since the very beginning of the conflict with israel, islam is fighting a “sacred war”, respecting the words stated in the qur’an. they fight against the domination of the western countries and to defend their occupied territories.

ansver

Answer from: Quest

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4

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