The equation of a circle is x^2 + y^2 =16 if the circle is translated 2 units up, what is the equation of the new circle?

Mathematics

1 answer:

WARRIOR [948]3 years ago

5 0

Answer:

the answer is x²+(y-2)²=16

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(28 divided 7 + 6 divided 3) x 1/2

prohojiy [21]

Answer:

Step-by-step explanation:

28/7=4

6/3=2

4+2=6

6*1/2=3

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3 years ago

Find the value of x from this adjoining figure

Fiesta28 [93]

Answer:

$x=15^\circ$

Step-by-step explanation:

Please refer to the attached figure for labeling of given diagram:

We are given the following angles:

$\angle AOC = 3x^\circ\\\angle BOD = 2x^\circ\\\angle EOF = 7x^\circ$

Angles opposite to each other when they are formed by crossing of two lines are known as vertically opposite angles. And vertically opposite angles are always equal to each other.

Using property of vertically opposite angles:

$\angle EOF = \angle AOB = 7x^\circ$

Line CD is a straight line, so $\angle COD = 180^\circ$

Also,

$\angle COD = \angle COA+\angle AOB+\angle BOD = 180^\circ\\\Rightarrow 3x + 7x + 2x=180^\circ\\\Rightarrow 12x =180^\circ\\\Rightarrow x = \dfrac{180}{12}\\\Rightarrow x = 15^\circ$