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Lelechka [254]
2 years ago
10

Find distance formula between (-9, 1) & (-5, -2)

Mathematics
1 answer:
Paraphin [41]2 years ago
5 0
The "distance formula" is a result of the Pythagorean Theorem:

h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths.

The distance formula then becomes:

d^2=((x2-x1)^2+(y2-y1)^2

In this case:

d^2=(-5--9)^2+(-2-1)^2

d^2=4^2+(-3)^2

d^2=16+9

d^2=25

d=√25

d=5 units
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Comppete the equation <br> X^2+y^2-10x+6y=15
mart [117]
I believe you meant:  Use completing the square to determine the center and radius of the circle represented by this equation:   <span>X^2+y^2-10x+6y=15

x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
     (x-5)^2               +   (y+3)^2            = 24   = 2sqrt(6)

This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
8 0
3 years ago
A box contains five slips of paper, marked $1, $1, $10, $25, and $25. The winner of a contest selects two slips of paper at rand
Arisa [49]

Answer:

w = $1 or $10 or $25

Probability distribution of w = ($1,$1  $1,$1  $1,$10  $1,$25  $1,$25  $1,$1  $1,$1  $1,$10  $1,$25  $1,$25  $10,$1  $10,$1  $10,$10  $10,$25  $10,$25  $25,$1  $25,$1  $25,$10  $25,$25  $25,$25  $25,$1  $25,$1  $25,$10  $25,$25  $25,$25)

Step-by-step explanation:

Since the winner gets the larger amount of the two slips picked, random variable 'w' which is the amount awarded could be $1 or $10 or $25.

The probability distribution of 'w' is the values that the statistic takes on. Which could be: $1,$1  $1,$1  $1,$10  $1,$25  $1,$25  $1,$1  $1,$1  $1,$10  $1,$25  $1,$25  $10,$1  $10,$1  $10,$10  $10,$25  $10,$25  $25,$1  $25,$1  $25,$10  $25,$25  $25,$25  $25,$1  $25,$1  $25,$10  $25,$25  $25,$25

6 0
3 years ago
​ Commemorative coins come in packs of 15, while coin holders come in packs of 25. What are the least numbers of packs you shoul
Elis [28]

Answer:

5 Commemorative coin packs

3 coin holders

Step-by-step explanation:

5 0
2 years ago
The sum of two numbers is 128. Their difference is 4. What are the numbers?
Naddik [55]

Answer:

66 and 62

Step-by-step explanation:

128 divided by 2 gives you 64, and by taking two away from one number and giving it to the other, you're final answers are 66 and 62

3 0
3 years ago
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MatroZZZ [7]
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You could quickly find the answer by just using Pythagorean theorem to find AB.
4.3^2 +1.7^2 = AB^2
5 0
3 years ago
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