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3 years ago

Select all the correct answers.

Mathematics

2 answers:

alexira [117]3 years ago

5 0

Answer:

first and third and fifth

Step-by-step explanation:

big brain time

ANEK [815]3 years ago

5 0

Answer:

25 and 5^2

5 to the power of two is 25, because 5 * 5 is 25. Therefore the two are the same.

Step-by-step explanation:

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The diameter of a circle has length 12. The center is at*(-5, 2). Give the equation

labwork [276]

Answer:

Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

Step-by-step explanation:

Let us consider the image attached in the answer area.

The center O has the co-ordinates i.e. (-5,2) and the diameter given is 12 units.

We know that radius is half of diameter.

$\text{Radius = }\dfrac{\text{Diameter}}{2}$

$\text{Radius = }\dfrac{12}{2}\\\Rightarrow \text{Radius = 6units}$

The equation for circle given the center and radius, can be represented as:

$(x-a)^{2}+ (y-b)^{2} = r^{2}$

Where (a,b) is the co-ordinate of center and r is the radius.

Let us consider the following formula:

$(p+q)^2 = p^{2}+ q^{2} +2pq\\(p-q)^2 = p^{2}+ q^{2} -2pq$

$(x-(-5))^{2}+ (y-2)^{2} = 6^{2}\\\Rightarrow (x+5)^{2}+ (y-2)^{2} = 36\\\Rightarrow x^{2} + 25 + 10x +y^{2} + 4-4y=36\\\Rightarrow x^{2} + 10x +y^{2} -4y-7=0$

Hence, Equation of the circle is : $x^{2} + 10x + y^{2} -4y -7 =0$

4 0

3 years ago

Find the perimeter of the stage shaped like a semi-circle (shown below), rounded to the nearest tenth of a foot.

SVEN [57.7K]

Step-by-step explanation:

Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form

Let's assume d is the diameter of the circle

=> the perimeter of the circle is: dπ

=> the perimeter of the half arc of a circle

= 1/2 perimeter of the circle

= 1/2dπ

Hence, the perimeter of the stage shaped like a semi-circle:

= the perimeter of the half arc of a circle + the diameter

= 1/2dπ + d

= 3/2dπ

Just substitute d into the above expression, you will find out the answer.

Hope it will find you well.

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3 years ago

Emily spent a total of $38.04 on four CDs. If each CD cost the same amount, what is a reasonable amount for the cost of each CD?

Tanzania [10]

The answer is 9.51 you divide 38.04 by 4 to get your answer

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4 years ago

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Which relation is the inverse of the function f(x)=x2+3

zalisa [80]

\left[a \right] = \left[ -4+\frac{ - ax}{3}+\frac{\left( -4\right) \,x}{3}\right][a]=[−4+3−ax+3(−4)x]

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3 years ago

Name two segments the represent radii.be sure to write the word segment and then use two letters to identify the radii

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Answer:

Step-by-step explanation:

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