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Dmitry_Shevchenko [17]
3 years ago
14

A circle is centered at K(0, 0). The point U(6, -4) is on the circle. Where does the point V(square root 2, -7) lie

Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

V is inside the circle.

Step-by-step explanation:

We work out the radius of the circle which is the distance between K (0,0) and (6, -4).

Radius = √[(6 - 0)^2 + (-4 - 0)^2]

= √(16 + 36)

= √52.

Now find the distance of point V from K(0,0):

= √((√2-0)^2 + (-7-0)^2]

= √(2 + 49)

= √51.

This is less than the radius of the circle, so V lies inside it.

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ValentinkaMS [17]
5/6=1/3+(3/6). 3/6 is the correct answer
5 0
3 years ago
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Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car.At the end of the loan,she had paid a
BigorU [14]

Answer:

Step-by-step explanation:

Alice borrowed 16700 from the bank at a simple interest rate of 9% to purchase a used car. It means that the interest is not compounded. Simple interest is usually expressed per annum. The formula for simple is

I = PRT/100

Where

I = interest

P = principal(amount borrowed from the bank)

R = 9% ( rate at which the interest is charged

T = number of years

At the end of the loan,she had paid a total of 24215. This means that the interest + the principal = 24215

Therefore,

The interest = 24215 - 16700 = 7515

Therefore

7517 = (16700 × 9 × t)/100

751700 = 150300t

T = 751700/150300

T = 5 years

Converting 5 years to months,

1 year 12 months

5 months = 12 × 5 = 60 months

4 0
3 years ago
The ratio of shirts to pants is 3 to 2. If there are 6 shirts, how many pants are there? 9 4 12 6
abruzzese [7]
There are 6 pairs of pants
5 0
3 years ago
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3(3a + 4b) + 4(2a - 5b) please answer quick​
Oliga [24]

Step-by-step explanation:

3(3a+4b)+4(2a-5b)

=9a+12b+8a-20b

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3 0
3 years ago
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third sid
slamgirl [31]

There are two answers:

B) 5

C) 8

==============================================

Explanation:

If we had a triangle with sides a, b and c, then we can say

b-a < c < b+a

where b is larger than 'a'. This is the triangle inequality theorem

In this case, a = 5 and b = 9 so,

b-a < c < b+a

9-5 < c < 9+5

4 < c < 14

Telling us that c is some number between 4 and 14, not including either endpoint. If c is a whole number, then c could be any value from this set: {5,6,7,8,9,10,11,12,13}

We see that the numbers 5 and 8 are in this set. The values 3 and 15 are not in the set.

3 0
2 years ago
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