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Veseljchak [2.6K]
3 years ago
9

1.Provide a counterexample that shows the statement is false. Explain why the counterexample makes the statement false.

Mathematics
1 answer:
Amanda [17]3 years ago
7 0
Counterexample: 2/10 and 3/8

The product of the two denominators is 10*8 = 80

The LCD is found by mulitplying the non common prime factors and the common prime factors raised to the higher power:

10 = 2*5

8 = 2^3

LCD = (2^3)*5 = 8 * 40.

This counterexample shows the statement is false. 
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The maximum number of intersection points of a parabola and ellipse is 4.

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Andy completes the square for the function y = x^2 + 6x -8 Which of the following functions reveals the vertex of the parabola?
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Answer:

B. y = (x + 3)^2 - 17

Step-by-step explanation:

When Andy completes the square, he adds and subtracts the square of half the x-coefficient. That is, he adds and subtracts (6/2)² = 9:

... y = x² +6x +9 -8 -9

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4 0
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Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s
pochemuha

Answer:

The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = \frac{4 π r^{3} }{3} .

 pi(π) = \frac{22}{7} .

Explanation : We are given that

                     Radius of the tennis ball = 2.1 cm

                    radius  of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis =\frac{4*22(2.1)^{3} }{3*7}

On simplification we get, volume of tennis ball = 38.808 cm^{3}

Volume of the golf ball=\frac{4*22(2.0)^{3} }{3*7}

On simplification we get, volume of golf ball = 33.523 cm^{3}

Therefore , The volume of tennis ball = 38.808 cm^{3}.

                          Volume of golf ball = 33.523 cm^{3}.


7 0
3 years ago
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