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Citrus2011 [14]
3 years ago
8

The equation of the circle whose center is at (3, 7) and whose radius is 6 is

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

\large\boxed{(x-3)^2+(y-7)^2=36}

Step-by-step explanation:

The equation of a circle:

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

(h, k) - center

r - radius

We have

(3, 7) - center

r = 6 - radius

Substitute:

(x-3)^2+(y-7)^2=6^2\\\\(x-3)^2+(y-7)^2=36

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the length of a rectangle is 4cm longer than the width. the perimeter is 80cm. find the length and the width.
skelet666 [1.2K]

Answer:

I think it is 20cm

Step-by-step explanation:

divide 80 by 4 =20 cm

7 0
3 years ago
Hiroto's texting plan costs $20 per month, plus $0.05 per text
Marta_Voda [28]
We can’t see the graph
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Given two points A and B, there is only one segment that you can name: AB. With three collinear points A, B, and C, there are th
aksik [14]

Answer: 10

Imagine you have 2 slots or boxes that are empty. They represent the possible choices for the letter you pick. For example, you can place B in slot 1 and D in slot 2. There are 5 choices for slot 1 (A,B,C,D,E) and four choices for slot 2. Why 4? Because after we pick the letter for slot 1, we have one less letter to pick from. We can't reuse that letter.

Now multiply those values 5 and 4 to get 20. There are 20 different ways to pick a pair of letters from a pool of 5 total. However, order does NOT matter because the segment AB is the same as BA. Since order doesn't matter, we are doubly counting when we shouldn't. In other words, our count is two times higher than it should be. Instead of 20 pairs, it's actually 20/2 = 10 pairs. That's why the answer is 10.

The list of 10 segments are: {AB,AC,AD,AE,BC,BD,BE,CD,CE,DE}

Side note: you can use the nCr combination formula with n = 5 and r = 2 to get the same answer.

4 0
3 years ago
Can someone Help me please
Sonbull [250]

Answer:

Lower quartile= 4

Middle quartile= 6

Upper quartile=8

7 0
3 years ago
A food store makes a 12-lb mixture of granola, clusters, and raisins. The cost of granola is $1.00 per pound, clusters cost $3.0
Semenov [28]

Answer:

The food store used  3 lbs of clusters, 6 lbs of granola, and 3 lbs of raisins.

Step-by-step explanation:

Given that:

A food store makes a 12-lb mixture of granola, clusters, and raisins.

The cost of granola = 1.00 per pound

The cost of clusters = 3.00 per pound

The cost of raisins = 2.00 per pound

Let granola be = g; cluster be c and raisins be r

Then, g + c + r = 12

Similarly, the mixture calls for twice as much granola as clusters.

2c + c + r = 12

3c + r = 12

r = 12 - 3c

2c(1) + 3c + 2r = 21

2c + 3c + 2r = 21

5c + 2r = 21

5c + 2(12 -3c) = 21

5c + 24 - 6c = 21

24 - c  = 21

-c = 21 - 24

c = 3

Thus, cluster c = 3 lbs

granola = 2(c) = 2(3) = 6 lbs

raisins = 12 - 3c

= 12 - 3(3)

= 12 - 9

raisins = 3 lbs

4 0
3 years ago
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