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Anna [14]
3 years ago
11

Write 863.141 in expanded form

Mathematics
1 answer:
kumpel [21]3 years ago
4 0
Eight hundred sixty-three and one hundred forty-one thousandths
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Find the radius of a circle, given that the center is at (3,-3) and the point (7,6) lies on the circle.
Alenkasestr [34]

Answer:

\large\boxed{radius=\sqrt{97}}

Step-by-step explanation:

The radius is the distance between the center and any point on the circle.

The formula of a distance between two points:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

We have the center (3, -3) and other point on the circle (7, 6).

Substitute:

r=\sqrt{(6-(-3))^2+(7-3)^2}=\sqrt{9^2+4^2}=\sqrt{81+16}=\sqrt{97}

3 0
3 years ago
Read 2 more answers
William has a lemonade stand. Today he made $17.55 in lemonade sales and one third that amount in cookie sales. How much money d
ira [324]
All together he made 23.40
One third of $17.55 is $5.85
When you add $17.55 and $5.85 together you get $23.40
4 0
3 years ago
3y - 5z = -23
leonid [27]
Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.
8 0
4 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
The solution set for the equation x - 6x + 10 = 0 is
Oxana [17]

Answer:

{3-i, 3+ i}

Step-by-step explanation:

hello : the equation is :  x²-6x+10 =0

because : (3+i)²-6(3+i)+10 = 9+6i+i²-18-6i+10 =9+6i-1-18-6i+10 =0...right

same method for 3-i... (all quadratic equation have two conjugate solution)

8 0
3 years ago
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