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3 years ago

!!!!!!HELPPP!!!!!!

Mathematics

1 answer:

andrew11 [14]3 years ago

8 0

Hey there! I'm happy to help!

A permutation is focused on a specific order, while a combination is not focused on the order but on the content of what is grouped.

AB and BA are different permutations because they are in different orders, but they are the same combination because they both contain the letters A and B.

So, we see that AB and BA are one combination.

AC and CA are also another combination because they are made up of the letters A and C.

Same goes for BC and CB, this is also one combinations.

This totals up to C. 3 combinations. Now you know the difference between permutations and combinations!

Have a wonderful day!

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Given that the center of a circle is C(-10,-7) and the point S(4,4) lies on the circle's edge calculate the circle's radius to t

fredd [130]

Answer:

$r\approx 17.80$

Step-by-step explanation:

<u>Equation of the Circle</u>

A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:

$r=\sqrt{(4-(-10))^2+(4-(-7))^2}$

$r=\sqrt{14^2+11^2}$

$r=\sqrt{196+121}=\sqrt{317}$

$\boxed{r\approx 17.80}$

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2 years ago

How do you solve 35=-2x-15

Ilya [14]

$35=-2x-15\\2x=-15-35\\2x=-50\\x=-25$

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3 years ago

Grayson is designing a rectangular athletic field. On his scale drawing, the vertices of the rectangle are (4, 5), (9, 10), and

mestny [16]

(4,10) because there are 2 points with an x value of 9, 2 points with a y value of 5, and there should be 2 with an x value of 4, and 2 with a y value of 10.

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2 years ago

A farmer raises cows and chickens. The farmer has a total of 25 animals. One day he counts the legs of all of his animals and co

KengaRu [80]

Answer:

Step-by-step explanation:

x + y = 25 ...........................(1)

{4x + 2y =64} / 2 divide the equation by 2

2x + y = 32 ........................(3)

Step Two

subtract (1) from (3)

2x + y = 32

x + y = 25

x = 7

Therefore from equation 1 we get x + y = 25

but x = 7

7 + y = 25 Subtract 7 from both sides.

y = 25 - 7

y = 18

Check

4*x + 2*y = 64

4*7 + 2*18 =? 64

28 + 36 = ? 64

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The checks out to be the right answer.

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2 years ago

Does anyone know what b is?

sveticcg [70]

Answer: b = 17

Step-by-step explanation: The figure shows a triangle which upon closer observation is actually two triangles placed one inside the other. We have triangle QTR (the larger one) and triangle PTS (the smaller one).

The line PS is parallel to line QR, so in effect what we have here are two similar triangles. The ratios of similarity can be derived as

Line QT/line TR = line PT/line TS OR

Line QT/line QR = line PT/line PS.

With these ratios in mind we can now write the following expressions from the similar triangles;

QT = 2b + (2b - 17) and

TR = 16 + 8

TR = 24

Hence,

2b/16 = 2b + (2b - 17)/24

(That is, PT/TS = QT/TR)

2b/16 = (4b - 17)/24

By cross multiplication we now have,

2b(24) = 16(4b - 17)

By expanding the brackets we now have

48b = 64b - 272

By collecting like terms, 64b now moves to the left side of the equation and becomes negative

48b - 64b = -272

-16b = -272

Divide both sides of the equation by -16

b = 17

**Note** A negative number divided by another negative number yields a positive answer.

7 0

3 years ago