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3 years ago

A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle?

Mathematics

1 answer:

ycow [4]3 years ago

8 0

Answer:

$x^{2} +y^{2} =36$

Step-by-step explanation:

A circle centered at (0,0) with radius r is $x^{2} +y^{2} =r^{2}$

Since your circle has diameter of 12, then its radius is 6. Then $r^{2} =36$

So a possible answer is: $x^{2} +y^{2} =36$

If you want to move the location of the center, but keep it on the x-axis, then add or subtract a number to the x, such as this:

$(x+4)^{2} +y^{2} =36$

The center of this circle would be (-4, 0) which is still on the x-axis.

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The perimeter of a rectangle is 18x+6. The width of the rectangle is 2x+5. What is an expression for the length of the rectangle

Ulleksa [173]

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3 years ago

Which pairs of angles are alternate exterior angles?

saw5 [17]

Based on the image I see 2 pairs of alternate exterior angles

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4 years ago

Quadrilaterals L M N O and Q R S T are shown. Given that LMNO ≅ QRST, complete the statements. Side LM is congruent to side . An

deff fn [24]

When you have two congruent figures, the vertices are listed in the same order. This means that

Side LM ≅ Side QR, Side MN ≅ Side RS, etc. The same applies for the angles.

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4 years ago

Roxy is buying a shirt at the mall that

patriot [66]

Answer:

$32.13

Step-by-step explanation:

Initial price = $36.00

Less 15 % = 0.15 × 36 = -5.40

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Plus 5 % = 0.05 × 30.60 = 1.53

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8 0

3 years ago

Ice thickness decreases at a rate of 0.2 meters per week. After 7 weeks,the ice is only 2.4 meters thick. What is the equation f

sergiy2304 [10]

Answer:

The equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x

Step-by-step explanation:

Ice thickness decreases at a rate of 0.2 meters per week. This can then be represented by the expression

f(x) = k - 0.2*x

where k is the thickness of the ice before the melting starts and x is the number of weeks.

After 7 weeks, the ice is only 2.4 meters thick. This means that x has a value of 7, while f (7) = 2.4. Replacing in the previous expression:

2.4=k -0.2*7

and solving you get:

2.4=k- 1.4

2.4 + 1.4= k

3.8= k

Then, the equation for relationship between the thickness and the number of weeks is f(x)=3.8 -0.2*x

7 0

3 years ago