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Nutka1998 [239]
3 years ago
7

Find the 20th term of the arithmetic sequence 15, 9, 3, -3, ...

Mathematics
1 answer:
RUDIKE [14]3 years ago
4 0

The 20th term is -106

15,9,3,-3,-9,-15,-21,-28,-35,-41,-46 (10) -6 x 10 = -60

-60 + -46

-106

You're just subtracting by 6.

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Circle C has a center at (-2,10) and contains the point P(10,5). Which equation represents circle C?
Rina8888 [55]

Answer:

The equation that represents circle C is (x+2)^2+(y-10)^2=169.

Step-by-step explanation:

A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.

The standard equation for a circle with center (a, b) and radius <em>r</em> is

                                        (x-a)^2+(y-b)^2=r^2

We are told that the center of this circle is (-2, 10), so

                                        (x+2)^2+(y-10)^2=r^2

We are also told that the circle contains the point  (10, 5), so we will use that information to find the radius <em>r.</em>

<em />(10+2)^2+(5-10)^2=r^2\\\\r^2=\left(10+2\right)^2+\left(5-10\right)^2\\\\r^2=12^2+5^2\\\\r^2=144+25\\\\r^2=169\\\\r=\sqrt{169}=13<em />

Therefore, the equation that represents circle C is

(x+2)^2+(y-10)^2=13^2\\\\(x+2)^2+(y-10)^2=169

7 0
3 years ago
Perfume is sold in two diffrent sizes of bottle.
Monica [59]

Answer: get the 2 perfums in the size 50ml

Step-by-step explanation:

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for the 80ml the price per ml is 0.6875

3 0
3 years ago
What's the correct answer
Ronch [10]
The answer should be -141
6 0
3 years ago
Find the next three terms in the sequence below.
fomenos

Answer: 13/6

Step-by-step explanation:

Based upon the previous sequence.

1.there is a constant decrease of two in the numerator

2. There is a constant increase of one in the denominator

to find the fourth number in the sequence I used One of the numbers from the previous to determine the answer.

17/4 — —> then I followed the pattern and determine what fraction 3 was       .   .                 before it was converted into a whole number.

which would be 15/5 —> Now considering equations that are written like this also mean division, because in this case division is possible the answer would be 3, which would make the whole number 3 instead of 15/3. considering it was an improper fraction.

____________________________________________________________

Now If 15/5 wasn’t converted into 3, The answer to the  sequence would be 13/6. If you follow the pattern like I said before there is a certain amount of increase and decrease so 13/6 will be your answer. The only reason is not a whole number because 13 can’t be divided by six to get a whole number.

4 0
3 years ago
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2 4 6 8 y 21 18 15 12 A. linear B. nonlinear​
Ivanshal [37]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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