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allochka39001 [22]
3 years ago
11

Find the standard equation of a circle that passes through the point (−1, 1) with center (2, 3).

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
The equation of a circle is
  (x-h)² + (y-k)² = r²
for center (h, k) and radius r. Of course, the radius can be computed by putting the point in the equation.
  (x-2)² + (y-3)² = (-1-2)² + (1-3)² = 9+4 = 13

The standard equation of the circle is (x-2)² + (y-3)² = 13.

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For each expression, write an equivalent expression that only uses addition a. 20 - 9 + 8 -7 b. 4x - 7y - 5z + 6 c. -3x - 8y - 4
Genrish500 [490]

Answer:

a. =11+ 1

b. =4x+ (-7y) + (-5z) +6

c. (-3x) + (-8y) +(-4)+(-8/7z)

Step-by-step explanation:

a. 20 - 9 + 8 -7

=11+ 1  ( this is obtained by solving)

b. 4x - 7y - 5z + 6

=4x+ (-7y) + (-5z) +6

We multiply the negative sign with the positive sign to get a minus so the answer remains the same and the expression is written as an addition sum.

c. -3x - 8y - 4 - 8/7z

-[ 3x+8y+4+8/7z]

or

(-3x) + (-8y) +(-4) +(-8/7z)

The minus sign is taken as common leaving the expression with the plus only.

It can be written in the same manner as above, adding the negative terms so that the expression is written as a sum.

3 0
2 years ago
The​ half-life of radium is 1690 years. If 20 grams are present​ now, how much will be present in 250 ​years?
Aneli [31]

Answer:

  18.05 g

Step-by-step explanation:

The multiplier of the initial quantity is ...

  (1/2)^(t/1690)

so, for t=250, this becomes ...

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Then the quantity remaining of the initial 20 g is ...

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Step-by-step explanation:

8 0
2 years ago
You hit a golf ball 90 yards. It travels three-fourths of the distance to the hole. Write an equation you can use to find the di
artcher [175]

Answer:

90=3/4 + d

Explanation :

Where:

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3/4 represents distance travelled by ball

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90=3/4 + d

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