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Fed [463]
3 years ago
10

A diameter of a circle has endpoints p(-10,-2) and Q(4,6)

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

  a) center: (-3, 2)

  b) radius: √65

  c) equation: (x +3)² +(y -2)² = 65

Step-by-step explanation:

a) The center (point A) is the midpoint of the diameter, so its coordinates are the average of the endpoint coordinates:

  A = (P +Q)/2 = ((-10, -2) +(4, 6))/2

  = (-10+4, -2+6)/2 = (-6, 4)/2

  A = (-3, 2)

__

b) The radius is the distance from the center to one end of the diameter. The distance formula can be used to find that.

  r = √((x2 -x1)² +(y2 -y1)²) = √((4-(-3))² +(6 -2)²) = √(49+16)

  r = √65

__

c) The circle centered at (h, k) with radius r has formula ...

  (x -h)² +(y -k)² = r²

So the formula for this circle is ...

  (x +3)² +(y -2)² = 65

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Homework help!
Ksju [112]

Answer:

10

2

Step-by-step explanation:

if x=0 => y = 2(0)+10= 10

y = mx + c

m = slope factor

=> y = 2x + 10

so, slope factor = 2

7 0
3 years ago
Noah wants to buy a 5 year annuity that pays $1000 at the end of each year, starting one year from now. It earns interest at 6.2
pav-90 [236]

Answer:

cost is $4183.87

Step-by-step explanation:

given data

time t = 5 year

amount A = $1000

rate r = 6.25 %  = 0.0625

to find out

how much it will cost

solution

we will apply here formula for present value of annuity that is express as

present value = amount ×\frac{1-(1+r)^{-t}}{r}      ....................1

put here all these value we get cost we will pay

present value = amount ×\frac{1-(1+r)^{-t}}{r}

present value = 1000 ×\frac{1-(1+0.0625)^{-5}}{0.0625}

present value = 4183.869221

so cost is $4183.87

5 0
3 years ago
A space traveler saw 17 stars. All but 8 disappeared into a black hole. How many were left?
kompoz [17]
9 are left take 17 and subtract 8
7 0
3 years ago
How many terms in the<br> sequence are less than 100?
Vaselesa [24]

Answer:

99

Step-by-step explanation:

Since given, < 100.

So,

100 - 1 = 99

5 0
2 years ago
From the set 1/2/3/4/5 which values make the inequality n + 1 &gt; true?
saul85 [17]

Hi there!

To make n+1>4 true, you must have n be a numebr greater than 3...

The reason why is because if it is less than 3 or 3, it’ll have to be <.

The two numbers that can make this equation true is 4 and 5...

4+1=5>4

5+1=6>4

And if it is 1,2, and 3 it would be:

1+1=2

2+1=3

3+1=4=4

7 0
3 years ago
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