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3 years ago

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Mathematics

1 answer:

Allisa [31]3 years ago

3 0

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

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Answer:

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ansverwinterblanco

Diameter of the basketball rim = 18 inches

Circumference of the basketball = 30 inches

You would have to fin the area so= pi*r^2

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3 years ago

an English textbook cost Gh 25.00 the author of the book took 20% of the cost of each book they sold 1702 copies what is the aut

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4 years ago

Read 2 more answers

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Answer:

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And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

Step-by-step explanation:

We know the following info given:

$\mu = 997$ represent the true mean

$\sigma = \sqrt{3844}= 62$ represent the population deviation

$n = 73$ represent the sample size selected

Since the sample size is large enough (n>30) we can use the central limit theorem and the sample mean would have the following distribution:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

And for this case we want to find this probability:

$P(\bar X >981.7)$

And we can use the z score formula given by:

$z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing we got:

$z = \frac{981.7 -997}{\frac{62}{\sqrt{73}}}= -2.108$

And we can use the normal standard distribution table or excel and with the complement ruler we got:

$P(z>-2.108) =1- P(z$

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3 years ago

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Dmitriy789 [7]

Answer:

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solve:

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3 years ago