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3 years ago

The equation for the circle below is x² + y2 = 16. What is the length of the circle's radius?

Mathematics

2 answers:

ankoles [38]3 years ago

5 0

Answer:

Step-by-step explanation:

Nina [5.8K]3 years ago

4 0

Answer:

radius = 4

Step-by-step explanation:

Recall that the equation of a circle centered at (0,0) on the plane is given by the formula:

$x^2+y^2=r^2$

where "r" is the radius of the circle.

S, in our case, since the equation reads:

$x^2+y^2=16$

16 corresponds to the square of the circle's radius. Therefore the radius can be found via:

$r^2=16\\r=+/-\sqrt{16\\}\\r=+/-4$

and since we are talking about the length of a radius, we choose the positive option for the answer: radius = 4

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Answer:

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3 years ago

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An identification code is to consist of 2 letters followed by 3 digits. how many different codes are possible if repetition is p

Vedmedyk [2.9K]

I like the 'question mark' at the end:

26 letters (English), 10 digits (0,1,...9)

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4 years ago

Mr. Larsen's third grade class has 22 students, 12 girls and 10 boys. Two students must be selected at random to be in the fall

kupik [55]

The probability of no boys being chosen will be 0.29.

<h3>What is probability?</h3>

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Mr. Larsen's third-grade class has 22 students, 12 girls, and 10 boys.

Two students must be selected at random to be in the fall play.

Then the probability of no boys being chosen will be

Total event = ²²C₂ = 231

Favorable event = ¹²C₂ = 66

Then the probability will be

P = 66 / 231

P = 0.2857

P ≅ 0.29

More about the probability link is given below.

brainly.com/question/795909

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2 years ago

Value<br>5. What per cent of 84 is 14?

galben [10]

14/84 x100 =. 1/6 x 100 = 16.66%

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3 years ago

A parabola can be drawn given a focus of (-5, -4)(−5,−4) and a directrix of y=-6y=−6. Write the equation of the parabola in any

lord [1]

Answer:

$\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

Step-by-step explanation:

Given:

Focus = (-5,-4)
Directrix = -6

To find:

Parabola Equation

Locus of Parabola (Upward/Downward)

$\displaystyle \large{\sqrt{(x-a)^2+(y-b)^2} = |y-c|}$

Where:

(a,b) = focus
c = directrix

Hence:

$\displaystyle \large{\sqrt{(x+5)^2+(y+4)^2}=|y+6|}$

Cancel square root by squaring both sides as we get:

$\displaystyle \large{(x+5)^2+(y+4)^2=(y+6)^2}$

Solve for y-term:

$\displaystyle \large{(x+5)^2=(y+6)^2-(y+4)^2}\\\displaystyle \large{x^2+10x+25=y^2+12y+36-y^2-8y-16}\\\displaystyle \large{x^2+10x+25=4y+20}\\\displaystyle \large{x^2+10x+5=4y}\\\displaystyle \large{y=\dfrac{x^2}{4} + \dfrac{5x}{2} + \dfrac{5}{4}}$

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2 years ago