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nika2105 [10]
2 years ago
8

The circle below is centered at the point (4, -3) and has a radius of length 3. What is its equation?

Mathematics
1 answer:
MissTica2 years ago
8 0

Answer:

(x-4)² + (y+3)² = 9

Step-by-step explanation:

The equation of a circle of radius r centered at (h, k) is ...

... (x-h)² + (y-k)² = r²

Subsituting your given values gives ...

... (x -4)² +(y -(-3))² = 3²

... (x -4)² +(y +3)² = 9

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The average score of those students who passed a test was 65, the average score of those who did not pass was 35, and the overal
FrozenT [24]

Answer:

60%

Step-by-step explanation:

To find the total pass = 65 * number of student that passed, let it be be represented by P and number of students that failed F

Total pass = 65p

And total fail = 35F

For the total pass and failure will be 53(P+F)

Equating to total pass and total fail

65P +35F = 53( P+ F)

65P+35F = 53P+ 53F

65P-53P =53F-35F

12P=18F

2P= 3F

Hence there are 3 passing scores for every 2 failure scores, hence there are a multiple of 5 scores and the same multiple of 3 passing scores.

3/5 * 100= 60%

4 0
3 years ago
How many triangles can be drawn with side lengths of 3 inches, 5 inches, and 6 inches???
storchak [24]

Answer:

4 congruent triangles

Step-by-step explanation:

since there is no one of the sum of two sides is less then the third side, so it's possible to form a triangle

Use straightedge and compass, it can draw 4 triangles at a common base

5 0
3 years ago
How do you multiply radical expressions
bekas [8.4K]
Divide and simplify radical expressions that contain a single term.
3 0
3 years ago
Use synthetic division to solve (x3 + 1) ÷ (x – 1). What is the quotient?
mamaluj [8]
Steps:

Use the divisor and find x :
x - 1 = 0  **add 1
x= 1
Now we will use the 1 in dividing:

take the coefficients from in front of all terms
   ** make sure you include 0's for x^2 and x since you have to have all terms

set it up with a 1 in a box:

1|  1   0   0  1   **bring the first number down
____________
     1                    **multiply the boxed number by the first number and add it                                 to the second number

1|  1   0   0  1   
____+1_____       **repeat with the rest of the terms
     1   1   

1|  1   0    0    1
  ___+1_+1_+1   
     1   1    1    2                              
**when you're done, use the new numbers to write an equation starting with a term with a degree one less than the previous equation.
**since there is a remainder, rewrite it divided by the original divisor

final answer:
x^2 + x + 1 + (2/ x -1)
4 0
2 years ago
Read 2 more answers
1. write an algebraic expression for the phrase three times the sum of B and F. ​
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The sum of b and f is b+f

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