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olya-2409 [2.1K]
3 years ago
12

Write the equation of a circle whose center is at the origin and contains the point (2, 3).

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0

Answer:

x^2+y^2=13

Step-by-step explanation:

radius is the distance from the origin to the point

r=(2^2+3^2)^(1/2)=13^(1/2)

x^2+y^2=(13^(1/2))^2=13

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What is x and y (use substitution?) 5x+3y=38 and y=3x+8?
Vika [28.1K]

Answer:

x = 1 and y = 11

Step-by-step explanation:

To start, let's substitute in y into the first equation. We will get 5x + 3 (3x + 8) = 38. Now, distribute the 3 in the 2nd term to get 5x + 9x + 24 = 38. Add like terms to get 14x + 24 = 38, and subtract 24 from both sides to get 14x = 14. Now, divide both sides by 14 to get x = 1. Plug this back in to get that y = 11.

6 0
3 years ago
Find a POSITIVE and NEGATIVE co-terminal angle for<br> -19(pie)/8
Leto [7]
0928-210=8 is the answer
6 0
3 years ago
What is the volume (in ft. cube) of a cube with sides 3 ft long
Kruka [31]
V = length x width x height
Since it's a cube all the values are 3
V = 3 x 3 x 3 = 27 ft^3
5 0
3 years ago
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Help!<br> Algebraic Relationship <br> y= x/4-1
loris [4]

32, 7

0, - 1

20, 4

You just plug in the numbers and solve

3 0
3 years ago
One month Lucy rented 9 movies and 7 video games for a total of $65 . The next month she rented 3 movies and 5 video games for a
postnew [5]
You would answer this question using simultaneous equations, so if m is movies and v is video games, then:
9m + 7v = 65
3m + 5v = 37

9m + 7v = 65
9m + 15v = 111
(minus)
-8v = -46
÷ -8
v = $5.75
Then you can substitute​ the value of V in to find the value of m, so:
3m + (5 × 5.75) = 37
3m + 28.75 = 37
- 28.75
3m = 8.25
÷ 3
m = 2.75
So you get the answers as Video Games are $5.75 each and Movies are $2.75 each, I hope this helps!
4 0
3 years ago
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