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3 years ago

What is the equation of a circle with endpoints of the diameter at (-8, -5) and (-4, 1) ??

Mathematics

1 answer:

Lady_Fox [76]3 years ago

7 0

Answer:(x + 6) + (y + 2)^2 = 13

Step-by-step explanation:

The centre of the circle is halfway along the diameter = (-6, -2)

r^2 = (-4 - -6)^2 + ( 1 - -2)^2 = 2^2 + 3^2 = 13

So circle equation is (x - -6)^2 + (y - -2)^2 = 13

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You have 60.00 in your wallet and you want to buy some new cds. if the cd's are 11.00 each, what number of cd's x can you buy?wr

Dvinal [7]

You have $60.00.
Each CD (x) is $11.00.

11x ≤ 60
The number of CDs multiplied by the cost (11) has to be less than or equal to 60.
x ≤ 5.45

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3 years ago

234 students in 9 different classrooms. What is the ratio of students to classrooms?

Vilka [71]

Answer:

26 students per classroom

Step-by-step explanation:

To solve this, the ratio 234 students:9 classrooms must be converted to:

s students:1 classroom

To convert the ratio, 9 was divided by 9 to get 1, and so you must also divide 234 by 9 to maintain the same ratio, which gives us the answer:

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3 years ago

ABC is an equilateral triangle .Three distinct points are marked on each sides of the triangle. (not on the vertices). (i) How m

iVinArrow [24]

The number of lines and triangles illustrates combination

36 lines can be drawn to join the nine points
84 triangles can be drawn using the nine points

<h3>The number of lines that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each line, r = 2

The number of lines that can be drawn is then calculated using the following combination formula

Lines = nCr

This gives

Lines = 9C2

Evaluate the combination expression

Lines = 36

Hence, 36 lines can be drawn to join the nine points

<h3>The number of triangles that can be drawn</h3>

The given parameters are:

Total points, n = 9

Total points on each triangle, r = 3

The number of triangles that can be drawn is then calculated using the following combination formula

Triangles = nCr

This gives

Triangles = 9C3

Evaluate the combination expression

Triangles = 84

Hence, 84 triangles can be drawn using the nine points