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2 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

Mathematics

1 answer:

asambeis [7]2 years ago

6 0

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

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const2013 [10]

Answer:

Step-by-step explanation:

Using the Sine rule in Δ QRS , that is

$\frac{q}{sinQ}$ = $\frac{r}{sinR}$ , that is

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8 0

4 years ago

Precalc help needed, find g ° f!

Nezavi [6.7K]

Answer:

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Step-by-step explanation:

g o f = g [ f(x) ]

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As x² ≥ 0 for any value of x (whether it be positive or negative), then -(|x|)² + 3 = -x² + 3 = g(x)

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8 0

2 years ago

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NemiM [27]

Answer:

..................................................................

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2 years ago

What is the area, in square centimeters, of the shape below? 3.7 cm 5.8 cm

Fudgin [204]

Answer:

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3 0

2 years ago

math 115 In a recent year, wind machines in a country generated 181.3 billion kWh of electricity, enough to serve over 17 millio

vivado [14]

Answer:

The percentage of of the total energy production was generated by wind machines is 4.43%.

Step-by-step explanation:

Percentage is the proportion of an item in the whole.

The formula is:

$Percentage=\frac{X}{N}\times 100$

It is provided that the wind machines in a country generated 181.3 billion kWh of electricity.

And the nation's total electricity production that year was 4,096 billion kWh.

Compute the percentage of of the total energy production was generated by wind machines as follows:

$Percentage=\frac{181.3}{4096}\times 100=4.43\%$

Thus, the percentage of of the total energy production was generated by wind machines is 4.43%.

7 0

3 years ago