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Shkiper50 [21]
3 years ago
11

Find the equation for the circle with a diameter whose endpoints are (5,-3) and (2,1).

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
5 0

Answer:

Step-by-step explanation:

To write an equation for a circle, we need to find the center and the radius.  We need to find the distance between the two endpoints to find the radius.  To do that, use the distance formula:

d = √(2 - 5)² + (1 + 3)²

√(-3)² + (4)²

√9 + 16 = √25 = 5

If the diameter is 5, the radius is 2.5

Now we need to find the center/midpoint.  Use the midpoint formula:

(5 + 2)/2, (-3 + 1)/2

7/2, -2/2

(3.5, -1)

Now that we have the center and the radius, we can make our equation.  Remember that the equation of a circle is: (x - x of center)² + (y - y of center) = radius²

(x - 3.5)² + (y + 1)² = 6.25

Hope this helps

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If (x + 2) is a factor of x3 − 6x2 + kx + 10, k =
ch4aika [34]

Answer:

The value of k is -11

Step-by-step explanation:

If (x+2) is a factor of x3 − 6x2 + kx + 10:

Then,

f(x)=x3 − 6x2 + kx + 10

f(-2)=0

f(-2)=(-2)³-6(-2)²+k(-2)+10=0

f(-2)= -8-6(4)-2k+10=0

f(-2)= -8-24-2k+10=0

Solve the like terms:

f(-2)=-2k-22=0

f(-2)=-2k=0+22

-2k=22

k=22/-2

k=-11

Hence the value of k is -11....

5 0
2 years ago
What is the value of 11g - 9k + 3 when g = 9 and k = 11?<br> Neatly show your work.
fenix001 [56]

Answer:

3

Step-by-step explanation:

11g - 9k + 3

Let g = 9 and k =11

11 * 9 - 9*11 +3

Multiply

99 - 99 +3

Add

3

4 0
2 years ago
Read 2 more answers
In the picture, what is the ratio of the number of circles to the number of squares? Select your answers from the drop-down list
vlabodo [156]

Answer:

3/6 ‍♀️

Step-by-step explanation:

the ratio of ten more than three times a number to the square of the same number is equal to ... Write an expression for the number of circles in the Nth figure.

6 0
2 years ago
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Please help!!!!! Thank you
marin [14]
Its 872 when the integer goes down
7 0
2 years ago
What is the area of the square adjacent to the third side of the triangle?
Naddik [55]

Answer:

85 units^2 = Area of Blue Square

and

x = 5 units

Step-by-step explanation:

To do this we use the Pythagorean theorem (a^2 + b^2 = c^2). a and b represent the legs of the triangle whereas c represents the longest side of the triangle, or the hypotenuse.

Since we know the area of a square is the side length multiplied by itself (or the side length squared), \sqrt{35} is the side length of the pink square and \sqrt{50} is the side length of the green square.

That means a = \sqrt{35} and b = \sqrt{50} , so...

(\sqrt{35} )^{2} + (\sqrt{50})^{2}  = c^{2}

35 + 50 = c^2

85 = c^2

\sqrt{85} = c

Now we need to square the square root of 85 to find the area of the blue square.

(\sqrt{85})^{2}  = Area of blue square

85 units^2 = Area of Blue Square

To solve the other question we use the same formula again.

x^2 + 12^2 = 13^2\\x^2 +144 = 169\\-144\\x^2 =  25\\x=\sqrt{25} \\x=5

x = 5 units

3 0
3 years ago
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