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3 years ago

1-3. Find the center point, the radius and the diameter for the following equation: x² + y2 = 16

Mathematics

1 answer:

kogti [31]3 years ago

3 0

Answer:

Center: (0, 0)

Radius: 4

Step-by-step explanation:

Circle Standard Equation: (x - h)² + (y - k)² = r²

(h, k) is center

r is radius

We see that our h and our k are both 0.

∴ Our center is (0, 0), origin.

We see that our r² = 16

√r² = √16

∴ Our radius is equal to 4

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How do I solve for x?

notka56 [123]

Solving:
$\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}$
Make the Least Common Multiple (2,3,6)
$2,3,6\:|2$
$1,3,3\:|3$
$1,1,1\:|\underline{2*3=6}$

Replace denominators and resolve:
 $\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}$
$\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}$
Cancel the dominators
$\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}$
$3(3+4x) + 2(5-x) = 29$
$9 + 12x + 10 - 2x = 29$
$12x - 2x = 29 - 9 - 10$
$10x = 20 - 10$
$10x = 10$
$x = \frac{10}{10}$
$\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark$

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3 years ago

What is the mean of this data: 23, 37, 11, 58, 13, 45

nata0808 [166]

Step-by-step explanation:

Mean= Sumof all the numbers/ number of data

So,

23+37+11+58+13+45=187

Now...

187/6=31.166666667 Answer

hope it helps....

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2 years ago

Read 2 more answers

A coin is tossed 6 times. what is the probability that the number of heads obtained will be 2? express your answer as a fraction

Valentin [98]

For this you will have to make a tree diagram
it will be so much easier although there is a way to do it

probability of getting heads is = 1/2 there for 10 tosses its (1/20)^10

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3 years ago

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dezoksy [38]

Answer:

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Step-by-step explanation:

Round 1.9 to 2 cm and multiply by 18. then you will get your answer

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givi [52]

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3 years ago