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2 years ago

What is the radius of a circle whose equation is x2 y2 8x−6y 21=0? 2 units 3 units 4 units 5 units

Mathematics

2 answers:

Anna007 [38]2 years ago

4 0

Answer:

2 units.

Step-by-step explanation:

LuckyWell [14K]2 years ago

3 0

The center of the circle x² + y² + 8x − 6y + 21 = 0 is at (-4, 3) and the radius of the circle is 2 units.

<h3>What is a circle?</h3>

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

The equation of the circle is given as

x² + y² + 8x − 6y + 21 = 0

The equation can be written as

x² + 8x + 16 + y² − 6y 9 = 4

(x + 4)² + (y − 3)² = 2²

Then the center of the circle is at (-4, 3) and the radius of the circle is 2 units.

More about the circle link is given below.

brainly.com/question/11833983

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Wilton collected $8.50 in dimes and quarters while cleaning his father's truck. If the number of quarters is 3 times the number

dusya [7]

Answer:

Wilton found 10 dimes while cleaning his father's truck.

Step-by-step explanation:

Given that:

Total amount collected = $8.50 = 8.50*100 = 850 cents

Let,

x be the number of dimes

y be the number of quarters

According to given statement,

10x+25y=850 Eqn 1

y = 3x Eqn 2

Putting y=3x in Eqn 1

$10x+25(3x)=850\\10x+75x=850\\85x=850$

Dividing both sides by 85

$\frac{85x}{85}=\frac{850}{85}\\x=10$

As x represents dimes, therefore, number of dimes is 10.

Hence,

Wilton found 10 dimes while cleaning his father's truck.

8 0

3 years ago

If anyone can answer this correctly i will give you brainliest

kati45 [8]

Answer:

Im not trying to steal points but which one? I answer it in the comment

3 0

3 years ago

Read 2 more answers

a recycling bin is in the shape of a rectangular box find the height of the box if it's length is 18 ft its width is 8 feet and

OLEGan [10]

<h2>Answer:</h2>

The height of the box is:

4 ft.

<h2>Step-by-step explanation:</h2>

Let "h" denotes the height of the box.

Length of box is denoted by "l"

and breadth or width of box is denoted by "b"

We are given l=18 ft

b=8 ft.

Also we are given surface area of rectangular box= 496 ft²

As we know that the surface area of box is given by:

$Surface\ Area=2(lb+bh+hl)$

i.e.

$496=2(18h+8h+144)\\\\i.e.\\\\\\496=2(26h+144)$

Divide both side by 2.

$248=144+26h\\\\i.e.\\\\26h=248-144\\\\i.e.\\\\26h=104$

on dividing both side by 26 we get:

$h=4$

Hence, the height of the box is:

4 ft.

7 0

3 years ago

Read 2 more answers

Steven has 24 t-shirts. One third of the t-shirts are white, one fourth of the t-shirts are blue ; the remainder of the t-shirts

Black_prince [1.1K]

White t-shirts = 8, blue t-shirts =6 6+8=14 24-14=10 orange tshirts

8 0

3 years ago

Find the area. The figure is not drawn to scale

poizon [28]

Answer:

96 square inches.

Step-by-step explanation:

From given picture we see that

BC=8 in

AD=10 in

Given that

AD=AB

Then AB=10 in

Apply Pythagorean theorem in triangle ABC to find AC

$(hypotenuse)^2=(base)^2+(perpendicular)^2$

$(AB)^2=(BC)^2+(AC)^2$

$(10)^2=(8)^2+(AC)^2$

$100=64+(AC)^2$

$100-64=(AC)^2$

$36=(AC)^2$

take square root

$6=AC$

Then area of triangle ABC $=\frac{1}{2}\left(base\right)\left(altitude\right)$

$=\frac{1}{2}\left(8\right)\left(6\right)=24$

There are total 4 congruent triangles.

Then total area of the given figure = 4(24)=96 square inches.

7 0

3 years ago