The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5

4 0

3 years ago

£90 is divided between Mark, Henry & Gavin so that Mark gets twice as much as Henry, and Henry gets three times as much as G

Phantasy [73]

Answer:

Mark gets £54

Step-by-step explanation:

Let Gavin share=x

Henry=3x

Mark=2(3x)

x+3x+2(3x)=£90

x+3x+6x=£90

10x=£90

x=9

Gavin=x=£9

Henry=3x

=3(9)=£27

Mark=2(3x)

=2(3*9)

=2(27)

=£54

4 0

2 years ago

The double number line shows the amount of time a hen needs to lay 1 egg.

Scorpion4ik [409]

I realize the double number line in this exercise can be as shown in the attached image, in that case, the table, correctly completed is:

Eggs Time (hours)

3 75

4 100

12 300

Method to complete the table.

First, you must see the double number line (attached image), in this we identify a hen needs 25 hours to lay 1 egg, by this reason, to identify the time required for a certain number of eggs, just multiply the number of eggs by 25 (the number of hours shown on the double number line), then:

3 * 25 = 75
12 * 25 = 300

To calculate the number of eggs taking into account the time, you must divide the hours by 25:

100 / 25 = 4

In this way, you can check that the answers are 75, 4, and 300 respectively, to complete the table in the correct form.

You can review more exercises and test your new knowledge about the double number line at the following link: brainly.com/question/13553589?referrer=searchResults

8 0

2 years ago