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ololo11 [35]
2 years ago
15

the x and y axis are tangent to a circle with radius 3 units. write a standard equation of the circle.

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
3 0

Given:

The x and y axis are tangent to a circle with radius 3 units.

To find:

The standard form of the circle.

Solution:

It is given that the radius of the circle is 3 units and x and y axis are tangent to the circle.

We know that the radius of the circle are perpendicular to the tangent at the point of tangency.

It means center of the circle is 3 units from the y-axis and 3 units from the x-axis. So, the center of the circle is (3,3).

The standard form of a circle is:

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

Where, (h,k) is the center of the circle and r is the radius of the circle.

Putting h=3,k=3,r=3, we get

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

(x-3)^2+(y-3)^2=9

Therefore, the standard form of the given circle is (x-3)^2+(y-3)^2=9.

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Business services ordered a chair that cost $220.59. Upon arrival they received an invoice for $261.47. If the California sales
sladkih [1.3K]

Answer:

Cost of shipping and handling = $23.453

Step-by-step explanation:

Given

Price of Chair=$220.59

Tax=7.9%

Invoice Price=$261.47

In order to find the cost of shipping and handling, we have to subtract the cost of chair and the tax from the invoice price of chair.

To find the tax,

Tax amount=220.59*0.079

=$17.42661

Now,

Cost of shipping and handling=$261.47-$220.59-$17.42661

=$23.453 ..

6 0
3 years ago
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Solve: 7 + 5 + 22 × 12 − 7 =
Anna35 [415]

Answer:

269

Step-by-step explanation:

By the order of operations, you first do the multiplication, then you can do the addition and subtraction

7+5+264-7

12+264-7

276-7

269

3 0
2 years ago
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A snail is moving along a path that is 4 meters long. The snail moves at an average rate of 3 3/10 inches per minute. Question 1
Troyanec [42]

Answer: The length of the path = 157 inches { approx}

Step-by-step explanation:

Given: The length of the path = 4 meters

1 meter = 100 centimeters

So 4 meters = 400 centimeters

Also 1 in. ≈ 2.54 cm

\Rightarrow\ 1 cm = \dfrac{1}{2.54}\ in.

Now, \text{ 400 centimeters}=400\times\dfrac{1}{2.54}\text{ inches}

=157.480314961\approx 157  \ \ \ \ \ \text{ [Rounded to the nearest inch.]}

Hence, the length of the path = 157 inches { approx}

5 0
2 years ago
A school assembly had 25 students in attendance, and 20% of them were first-graders. How many first-graders were at the assembly
artcher [175]

Answer:

5

Step-by-step explanation:

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25 x 0.2 = 5

5 0
3 years ago
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stira [4]

Answer:

C

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it's an acute angle so it has to less than 90 and 71 just seems like it's too much

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