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3 years ago

Graph the circle x2 + y2 – 14x – 12y + 76 = 0.

Mathematics

1 answer:

nikklg [1K]3 years ago

7 0

Answer:

The answer is, the center is (7,6) and the radius 3 soo, you would count three from the center to the arc( outer line and then if its three than ur good. proven in khan academy don't worry

Step-by-step explanation:

XD finally no more schoooooolllllllll baaaabbyyyyyy

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Circle A and Circle B are conguent. CD is a chord of both circles. if AB=24 in and the radius is 13 in how long is CD

kolbaska11 [484]

See the attached picture:

3 0

3 years ago

Pls help ASAP!! Urgent

Mama L [17]

A= 1/2Bh

A= 1/2 (10.2 x 8)

A= 1/2 (81.6)

A=81.6 / 2

A= 40.8

5 0

3 years ago

What is n in 3/5n + 15 =10+2/5n

Phantasy [73]

Simplify both sides of the equation.

3/5n + 15 = 2/5n + 10

Subtract 2/5n from both sides.

3/5n + 15 - 2/5n = 2/5n + 10 - 2/5n15n + 15 = 10

Subtract 15 from both sides.

1/5n + 15 - 15 = 10 - 151/5n = -5

Multiply both sides by 5.

5 × (1/5n) = (5) × (−5)n = -25

Answer: n is -25.

8 0

3 years ago

Read 2 more answers

Can someone graph this? I'll give brainliest.

vodomira [7]

It's nice of you to offer, but no thanks.

To correctly graph this, you need to set up a simple equation and table of values. Luckily, this equation is dead-simple; I'll define y as the total cost and x as the number of water bottles sold.

$y=1.5x$

Since 1.50$ is the cost for one bottle, multiplying that with your variable that defined the amount of bottles, x, gets you the total, y. Now that we have a basic equation, we can begin plugging in values.

Recall that a function is basically just something that takes in a value and returns another one; in our case, it takes the amount of bottles and returns the total cost. Now, plug in the x-values present on the graph (specifically only whole numbers, since you can't have a half bottle). I can't make a proper table but I'll make do.

x y

--------

0 0

1 1.5

2 3

3 4.5

4 6

5 7.5

-----------

Great, now that you have a table of values all you have to do is plug them into the graph, which I've attached. It's pretty crude since I drew it in mspaint but I'm sure you get the point at this point.

7 0

3 years ago

The perimeter of equilateral triangle ABC is 81/3 centimeters, find the length of the radius and apothem.

MAXImum [283]

There is a typo error, the perimeter of equilateral triangle ABC is 81/√3 centimeters.

Answer:

Radius = OB= 27 cm

Apothem = 13.5 cm

A diagram is attached for reference.

Step-by-step explanation:

Given,

The perimeter of equilateral triangle ABC is 81/√3 centimeters.

Substituting this in the formula of perimeter of equilateral triangle = $3\times\ side$

$3\times\ side$ $=[tex]81\sqrt{3}$

$Side = \frac{81\sqrt{3} }{3} =27\sqrt{3} \ cm$

Thus from the diagram , Side $AB=BC=AC= 27\sqrt{3} \ cm$

We know each angle of an equilateral triangle is 60°.

From the diagram, OB is an angle bisector.

Thus $\angle OBC = 30$ °

Apothem is the line segment from the mid point of any side to the center the equilateral triangle.

Therefore considering ΔOBE, and applying tan function.

$tan\theta =\frac{perpendicular}{base} \\tan\theta=\frac{OE}{BE} \\tan\theta=\frac{OE}{\frac{27\sqrt{3}}{2} } \\tan30\times {\frac{27\sqrt{3} }{2} }= OE\\\frac{1}{\sqrt{3} } \times\frac{27\sqrt{3} }{2} =OE\\$

Thus ,apothem OE= 13.5 cm

Now for radius,

We consider ΔOBE

$cos\theta=\frac{base}{hypotenuse} \\cos30= \frac{BE}{OB} \\Cos30 = \frac{\frac{27\sqrt{3} }{2}}{OB} \\OB= \frac{\frac{27\sqrt{3} }{2}}{cos30} \\OB= \frac{\frac{27\sqrt{3} }{2}}{\frac{\sqrt{3} }{2} } \\OB =27 \ cm$

Thus for

Perimeter of equilateral triangle ABC is 81/√3 centimeters,

The radius of equilateral triangle ABC is 27 cm

The apothem of equilateral triangle ABC is 13.5 cm

4 0

3 years ago