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kap26 [50]
3 years ago
9

The endpoints of a diameter of a circle are (2, 4) and (-4, 7).

Mathematics
1 answer:
Levart [38]3 years ago
4 0

Answer:

(x+1)²+(y-5.5)²=45/4.

Step-by-step explanation:

1)  the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.

2) the midpoint of the diameter is the centre of the given circle, its coordinates are:

\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.

3) the length of the radius of the given circle is:

r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.

4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:

(x+1)^2+(y-5.5)^2=\frac{45}{4}.

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A. at least 5 sales

Step-by-step explanation:

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Someone please help me with this question
mrs_skeptik [129]

Answer:

10x

Step-by-step explanation:

By definition

(f\codt g)(x)=f(x)\cdot g(x)

So we just need to multiply the two functions

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2 years ago
How to simplify 7m-2m
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3 years ago
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Katena32 [7]

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
3 years ago
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
liubo4ka [24]

Answer:

50

Step-by-step explanation:

[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]

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(9 + 5) + (4 × 9)

14 + 36

50

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3 years ago
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