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valentinak56 [21]
3 years ago
8

On a coordinate plane, a circle has a center at (0, 0). Point (3, 0) lies on the circle.

Mathematics
2 answers:
shepuryov [24]3 years ago
5 0

Answer:

d

Step-by-step explanation:

9966 [12]3 years ago
4 0

Answer:

The correct option is;

No, the distance from (0, 0) to (2, √6) is not 3 units

Step-by-step explanation:

The given parameters of the question are as follows;

Circle center (h, k) = (0, 0)

Point on the circle (x, y) = (3, 0)

We are required to verify whether point (2, √6) lie on the circle

We note that the radius of the circle is given by the equation of the circle as follows;

Distance \, formula = \sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}}

Distance² = (x - h)² + (y - k)² = r² which gives;

(3 - 0)² + (0 - 0)² = 3²

Hence r² = 3² and r = 3 units

We check the distance of the point (2, √6) from the center of the circle (0, 0) as follows;

\sqrt{\left (x_{2}-x_{1}  \right )^{2} + \left (y_{2}-y_{1}  \right )^{2}} = Distance

Therefore;

(2 - 0)² + (√6 - 0)² = 2² + √6² = 4 + 6 = 10 = √10²

\sqrt{\left (2-0 \right )^{2} + \left (\sqrt{6} -0 \right )^{2}} = 10

Which gives the distance of the point (2, √6) from the center of the circle (0, 0) = √10

Hence the distance from the circle center (0, 0) to (2, √6) is not √10 which s more than 3 units hence the point  (2, √6), does not lie on the circle.

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G. 18 yards

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3 years ago
I need help with this tysm​
erica [24]

9514 1404 393

Answer:

  1. -51
  2. -30
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Step-by-step explanation:

The function puts a minus sign on 3 times the magnitude of the input.

1. y = -|3×17| = -51

2. y = -|3×10| = -30

3. y = -|3×20| = -60

4. -6 = -|3x|

  2 = |x| . . . . divide by -3

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8 0
3 years ago
The sum of the series below is 10,900. how many numbers, n, are in the series? 19 20.5 22 23.5 ... 181
JulsSmile [24]

There are 109 terms in given series.

According to the statement

we have given that the sum of series is AP series and

This is 19 20.5 22 23.5 ... 181

And the sum of series is 10,900

Now, we have to find the number of terms in the series.

Then we use the summation formula which is

S = n/2 (a + L)

Substitute the all given values in it like

L = 181

A = 19 and S= 10,900

then

10,900= n/2(19+181)

10,900= n/2(200)

After solve the equation for n

10,900= 100n

n = 10,900 / 100

n = 109

There are 109 terms in given series.

So, There are 109 terms in given series.

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3 0
2 years ago
Solve inequality -8x+4≤36.
BigorU [14]

\bf{-8x+4\leq 36 }

Subtract 4 from both sides.

\bf{-8x\leq 36-4 }

Subtract 4 from 36 to get 32.

\bf{-8x\leq 32 }

Divide both sides by −8. Since −8 is <0, the inequality direction is changed.

\bf{x\geq \dfrac{32}{-8}  }

Divide 32 by −8 to get −4.

\bf{x\geq -4 \ \ \Rightarrow \ \ \ Answer }

<h2>{ Pisces04 }</h2>
4 0
2 years ago
Read 2 more answers
Find the value of 9!
katrin2010 [14]

Answer: 362880

The exclamation mark means factorial notation. The rule is we start with the given number, then count down til we get to 1, multiplying all along the way. In this case, we start with 9, then multiply with 8, 7, 6, etc til we get to 1, like so...

9! = 9*8*7*6*5*4*3*2*1 = 362880

Some calculators have a factorial button built in. The button should be labeled with an exclamation mark.

5 0
3 years ago
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