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r-ruslan [8.4K]
2 years ago
13

What is the equation of the circle with center (2, –5) that passes through the point (–2, 10)?

Mathematics
1 answer:
Travka [436]2 years ago
4 0
The standard equation of a circle is

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

where the center is at point (h,k)

From the statement of the problem, it is already established that h = 2 and k = -5. What we have to determine is the value of r. This could be calculated by calculating the distance between the center and point (-2,10). The formula would be

r = square root [(x1-x2)^2 + (y1-y2)^2)]
r = square root [(2--2)^2 + (-5-10)^2)]
r = square root (241)
r^2 = 241

Thus, the equation of the circle is

(x-2)^{2} + (y+5)^{2} =241
You might be interested in
The longest side of a triangle is 5 inches. Longer than the shortest side. The medium side is 4 inches. Longer than the shortest
Llana [10]

Answer:

The answer to your question is L = 10 in , M = 9 in ; S = 5 in

Step-by-step explanation:

Data

longest side = 5 + x in

medium side = 4 + x in

shortest side = x

Perimeter = 24 in

Process

1.- Write and equation to solve this problem

    Perimeter = longest side + medium side + shortest side

Substitution

             24 = (5 + x) + (4 + x) + x

Simplification

            24 = 5 + x + 4 + x + x

            24 = 9 + 3x

            24 - 9 = 3x

                  15 = 3x

                   x = 15/3

                   x = 5

2.- Calculate the lengths of the side

Longest side = 5 + 5 = 10 in

Medium side = 5 + 4 = 9 in

Shortest side = 5 in

6 0
3 years ago
Read 2 more answers
Given AE = EC, for what value of x is quadrilateral ABCD a parallelogram?
34kurt

Answer:

Each side of the Rhombus is equal to 4x

6 0
2 years ago
Which value is equivalent to (7x5x2/7x3)^2 x (5^0/2^-3)^3 x2^-9?
koban [17]

Answer:

100/9

Step-by-step explanation:

(7*5*2/7*3)² * (5^0/2^-3)³ * 2^-9

Solution:

We know that any number with power 0 = 1

(7*5*2/7*3)² * (1/2^-3)³ * 2^-9

Now cancel out 2 by 2

= (7*5*2/7*3)² * (1/1^-3)³ * 1^-9

=(70/21)² * (1)³/(1^-3)³ * 1^-9

=(10/3)^2 * 1/1^-1 * 1/1^9

=100/9 *1 *1

=100/9....

7 0
3 years ago
22.
kykrilka [37]

The option fourth "There is a strong negative relationship between x and y" is correct.

<h3>What is correlation?</h3>

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}

 

The options are:

  • There is no relationship between x and y.
  • There is a weak negative relationship between x and y.
  • There is a strong positive relationship between x and y.
  • There is a strong negative relationship between x and y.

We have data:

x 7 8 9 10 11 12 13

y 13 10 7 6 5 3 0

The value of correlation r = -0.9847

As we know the value of r between -1 to +1

If r = 1 (perfect and positive correlation)

if r = -1 (perfect and negative correlation)

We have r = -0.9847

The value is near to -1 which means there is a strong negative relationship between x and y.

Thus, the option fourth "There is a strong negative relationship between x and y" is correct.

Learn more about the correlation here:

brainly.com/question/11705632

#SPJ1

4 0
1 year ago
What is the slope of the line through (6,9) and (7,1)
suter [353]
Slope of (6, 9) & (7, 1)

To find the slope, we use the equation : m = y₂-y₁ / x₂-x₁

**Remember : m = slope**

Let's say that (6, 9) is our first set of points, and (7, 1) is our second.

If those are our first and second points, then we now know this :

x₁ = 6, x₂ = 7, y₁ = 9, y₂ = 1

Now that we know that, we can simply plug those points into our slope equation.

m = y₂ - y₁ / x₂ - x₁

m = (1 - 9) / (7 - 6 )

Simplify.

m = -8 / 1

Simplify.

m = -8

So, our slope is -8. 

~Hope I helped!~ 
6 0
3 years ago
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