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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:

olasank [31]3 years ago

8 0

Answer:

The answer to the question is 4.

Step-by-step explanation:

Ivan3 years ago

7 0

The equation of a circle is defined by (x – h)² + (y – k)² = r² with the center being at (h, k) and with radius r. So we have r² = 16. So the radius equals 4. Hope that helps.

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Move triangle ABC so it lies on top of triangle DEF, triangle GHI, and triangle JKL. How many units do you have to move triangle

dusya [7]

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the diagram of coordinates of the three triangles are not given.

A general explanation is as follows:

First, record the coordinates of the corresponding points of the three triangles.

For instance; In triangles ABC, DEF and GHI; A, D and G are corresponding points.

Now, assume the coordinates are:

$A = (1,1)$

$D = (1,5)$

$G= (-2,1)$

Point D is 4 points to the right of A;

i.e.

$D =(1,1+4) = (1,5)$

Hence, ABC will be moved 4 units right to lie on DEF

Similarly, point G is 3 units down of A

i.e.

$G =(1-3,1) = (-2,1)$

Hence, ABC will be moved 3 units down to lie on GHI.

5 0

3 years ago

Help please ASAP!!!! I NEED CORRECT ANSWERS ONLY FOR BRAINLIEST

MrRissso [65]

Let us start subtracting 3 cos theta both sides so that we may get all theta terms on left side only

It is now : 4 cos theta - 3 cos theta = - (sqrt3)/ 2

1 cos theta = -( sqrt 3 ) /2

we know cos (pi-x)= - cos x And cos (pi+ x)= - cos (x)

********* let us first use :

- Cos ( pi - theta) = - ( sqrt 3 )/2

this implies cos (pi- theta )= (sqrt 3) /2

cos ( pi - theta )= cos (pi /6)

pi- theta = pi/6

pi- pi/6 = theta

5 pi/6 = theta

one of teh answer is 5 pi/6 . another value of theta would be :

(2pi - 5pi/6)= 7pi/6

Answer: 5 pi/6 and 7 pi/6

5 0

3 years ago

What is the surface area of the rectangular prism

Alexxandr [17]

Answer:

The answer is 432

Step-by-step explanation:

6 x 8 x 9 =432

5 0

2 years ago

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A Girl Scout troop is placing markers every 16 meters along a trail. How many kilometers apart are the markers

Makovka662 [10]

Answer:

.016 kilometers

Step-by-step explanation:

A kilometer is 1000 meters. Divide the length of the markers by 1000 (16/1000) and you get the answer of .016 kilometers.

3 0

3 years ago

Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?

stiv31 [10]

Given equation of the Circle is ,

$\sf\implies x^2 + y^2 = 25$

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

$\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2$

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

$\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }$

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

5 0

3 years ago

Read 2 more answers