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romanna [79]
4 years ago
6

Find the length of the radius of a circle whose center is at (3,4) and passes through (-3, -4).

Mathematics
1 answer:
Elena L [17]4 years ago
8 0

Answer:

5\sqrt{2}

Step-by-step explanation:

well we use the distance formula

\sqrt{(4^{2}+(-4)^2 )+(3^2+(-3)^2)}\\ =\sqrt{32+18} \\=\sqrt{50}\\ =5\sqrt{2}

so that's the length of the radius

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What is the value of the arithmetic series below?
xxTIMURxx [149]

Answer:

(A)-494

Step-by-step explanation:

Given the arithmetic series

S_{19}=\sum_{k=1}^{19}4-3k

The terms in the sequence are:

  • When k=1, 4-3k=4-3(1)=1
  • When k=2, 4-3k=4-3(2)=-2
  • When k=3, 4-3k=4-3(3)=-5

Therefore, the terms in the sequence are: 1, -2, -5, ...

First term, a =1

Common difference, d=-2-1=-3

The sum of an arithmetic series, S_n=\dfrac{n}{2}[2a+(n-1)d]

Therefore:

S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494

The correct option is A.

6 0
3 years ago
Write an expression that is divisible by 7. Use it to find two three-digit numbers numbers divisible by 7.
inysia [295]

Answer:

7x+7 is obviously divisible by 7.

put in any value high enough and you can find the two three digit numbers.

Step-by-step explanation:

5 0
4 years ago
The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year
Elanso [62]

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

5 0
3 years ago
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pantera1 [17]

Answer:

lol?????????????????"!?!?!?!?!?!?

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help me pls :D giving brainliest
vichka [17]

Answer:

30

Step-by-step explanation:

All the degrees of a triangle should add up to 180 degrees.

D = F

D and F are not equal to 90.

If E = 30,  D and F both equal 75.

75(2) + 30 = 180.

7 0
2 years ago
Read 2 more answers
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