The circle below is centered at the point (8,4) and has a radius of length 4.

Mathematics

1 answer:

Irina-Kira [14]3 years ago

5 0

Answer:

$\textbf{The equation of the circle is: $ {(x-8)}^2 + {(y-4)}^2 = 16 $.}\\$

Step-by-step explanation:

$\textup{The equation of a circle is given by:}\\$$c = \sqrt{{(x-h)}^2 + {(y-k)}^2} = r^2$$\\\textit{where $(h,k)$ represents the centre of the circle and $r$ the radius.}\\\textup{Given the centre of the circle is $(8,4)$ and radius is $4$.}$ \therefore $ We have $$c = \sqrt{{(x-8)}^2 + {(y-4)}^2} = 4^2$$$\implies {(x-8)}^2 + {(y-4)}^2 = 16$$

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Answer:

Center of dilation origin, The scale factor is 4, The dilation mapping is (x, y) → (4x,4y) and The image represents the shape of the triangle.

Step-by-step explanation:

Given Hector is making an art project by cutting and gluing fabric shapes to a wooden board. His design includes two similar triangles, with one 4 times the size of the other. He cuts the smaller fabric triangle and traces it onto grid paper. we have to tell how he can use the tracing to make a pattern for the larger fabric triangle.

Apply the center of dilation origin.

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Answer:

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Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2

Standard Deviation, σ = 6 months = 0.5 year

We are given that the distribution of age of cars is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(family vehicles is between 1 and 3 years old)

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