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Archy [21]
3 years ago
6

Which point is located at (-5, 2)? point C point D point F point G

Mathematics
2 answers:
kondor19780726 [428]3 years ago
8 0
(-5, 2 ) means x = -5 and y = 2

so answer is <span>point D</span>
charle [14.2K]3 years ago
6 0
Point D is at (-5,2) as the first coordinate is on the "X" axis, and the second coordinate is on the "Y" axis. You would move down the x axis first going 5 to the left, as that would be negative. Then two up as that is positive on the y axis! Hope this Helps!
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Find the sum or difference. a. -121 2 + 41 2 b. -0.35 - (-0.25)
s344n2d4d5 [400]

Answer:

2

Step-by-step explanation:

The reason an infinite sum like 1 + 1/2 + 1/4 + · · · can have a definite value is that one is really looking at the sequence of numbers

1

1 + 1/2 = 3/2

1 + 1/2 + 1/4 = 7/4

1 + 1/2 + 1/4 + 1/8 = 15/8

etc.,

and this sequence of numbers (1, 3/2, 7/4, 15/8, . . . ) is converging to a limit. It is this limit which we call the "value" of the infinite sum.

How do we find this value?

If we assume it exists and just want to find what it is, let's call it S. Now

S = 1 + 1/2 + 1/4 + 1/8 + · · ·

so, if we multiply it by 1/2, we get

(1/2) S = 1/2 + 1/4 + 1/8 + 1/16 + · · ·

Now, if we subtract the second equation from the first, the 1/2, 1/4, 1/8, etc. all cancel, and we get S - (1/2)S = 1 which means S/2 = 1 and so S = 2.

This same technique can be used to find the sum of any "geometric series", that it, a series where each term is some number r times the previous term. If the first term is a, then the series is

S = a + a r + a r^2 + a r^3 + · · ·

so, multiplying both sides by r,

r S = a r + a r^2 + a r^3 + a r^4 + · · ·

and, subtracting the second equation from the first, you get S - r S = a which you can solve to get S = a/(1-r). Your example was the case a = 1, r = 1/2.

In using this technique, we have assumed that the infinite sum exists, then found the value. But we can also use it to tell whether the sum exists or not: if you look at the finite sum

S = a + a r + a r^2 + a r^3 + · · · + a r^n

then multiply by r to get

rS = a r + a r^2 + a r^3 + a r^4 + · · · + a r^(n+1)

and subtract the second from the first, the terms a r, a r^2, . . . , a r^n all cancel and you are left with S - r S = a - a r^(n+1), so

(IMAGE)

As long as |r| < 1, the term r^(n+1) will go to zero as n goes to infinity, so the finite sum S will approach a / (1-r) as n goes to infinity. Thus the value of the infinite sum is a / (1-r), and this also proves that the infinite sum exists, as long as |r| < 1.

In your example, the finite sums were

1 = 2 - 1/1

3/2 = 2 - 1/2

7/4 = 2 - 1/4

15/8 = 2 - 1/8

and so on; the nth finite sum is 2 - 1/2^n. This converges to 2 as n goes to infinity, so 2 is the value of the infinite sum.

8 0
3 years ago
In parallelogram IFGH, mF = (x + 20° and mi<br> (4x – 10)<br> Find the value of x.
sveta [45]

Answer:

x = 34

Step-by-step explanation:

4x - 10 + x + 20 = 180

5x + 10 = 180

5x = 170

x = 34

6 0
3 years ago
1 point
SpyIntel [72]

Answer:

20

Step-by-step explanation:

IF you are asking why it is because 50-32=18 than you do 18/.90 which equals 20 so there you go thanks make brainliest

3 0
3 years ago
What is the volume of the right prism? *<br> 6 cm<br> 4 cm<br> 16 cm
zalisa [80]

Answer:

6*4*16=384

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
There were 35 apples in a basket. Martha found that 6 apples were rotten. Select two statements that are true.
neonofarm [45]

Answer:

The ratio of the number of rotten apples to the total number of apples is 6:35

The ratio of the number of good apples to the number of rotten apples is 35:6

Step-by-step explanation:

If you look at the wording the orders are switched.

Rotten apples: Good apples

Good apples: Rotten apples

3 0
2 years ago
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