MATHEMATICS HIGH SCHOOL

What is the general form of the equation for the given circle centered at O(0, 0)? The center is (0,0) the point on the circle is (4,5)

Answers

Answer 1

Answer:

Answer:

$x^2+y^2-41=0$

Step-by-step explanation:

Center of the circle is (0,0)

the point on the circle is (4,5)

Center radius form of the circle is

$(x-h)^2 +(y-k)^2= r^2$

where (h,k) is the center and 'r' is the radius of the circle

WE know center is (0,0) . Lets find out the radius using the given point

$(x-0)^2 +(y-0)^2= r^2$

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

Plug in the given point (4,5)

$4^2+5^2= r^2$

$16+25= r^2$

$41=r^2$

Equation becomes

$x^2+y^2=41$

General form of equation is

$x^2+y^2+gx+fx+c=0$

$x^2+y^2=41$

$x^2+y^2-41=0$

Answer 2

Answer: Hello,

Radius= √((4-0)²+(5-0)²)=√41
Equation of the circle : x²+y²=41

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Complete the following reaction.

125 invitations to 75 invitation

Answers

Answer:

The complete question is

Find the percent of change. Round to the nearest tenth if necessary.

25 points to 50 points .

Notice that this change is an increase, to fint the percetange of change, we just need to divide and then multiply by 100 to have it in percetange expression:

$(50)/(25) * 100=2 * 100 = 200\%$

So, the percentage of change is 100%, because the change is 25, that was the increase.

125 invitations to 75 invitations .

$(75)/(125) * 100 = 60\%$

Which means 75 invitations represents 60% of the old number of invitations.

So, the percentage of change is 40%, because that's the percentage of the difference.

32 pages to 28 pages .

You can do another process, first find the difference:

$32-28=4$

Then, you divide:

$(4)/(32) * 100= 12.5 \%$

So, the percentage of change is 12.5%.

7 players to 10 players.

$10-7=3\n(3)/(7) * 100=0.43 = 43\%$

So, the percentage of change is around 43%.

Which of the following options is an equivalent function to f(x) = 4(3)2x?A: F(x)= 36x
B:F(x)=4(9)
C: F(x)=144x
D:F(x)=4(6x)

Answers

Answer: Option D is correct .

Step-by-step explanation:

Since we have given that

$f(x)=4(3)2x$

$f(x)=24x$

In option D,

$f(x)=4(6x)\n\nf(x)=24x$

Otherwise ,

In all other options , there is no other function whose value comes out to be 24x.

Like , in option b,

$f(x)=4(9)=36x$

which is not equivalent to

$f(x)=4(3)2x$

Hence, option D is correct.

Can anyone help me I’m struggling with this I would appreciate

Answers

I THINK 4x + 10y = -20 is the answer, bec there is no way u can answers that .

What other information do you need to prove triangle GHK is congruent to triangle KLG by SAS

Answers

The angles of the shapes
shape
size

If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a bull's-eye?A. 6%
B. 3%
C. 33%
D. 25%