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Dima020 [189]
4 years ago
13

What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0? units

Mathematics
2 answers:
Artemon [7]4 years ago
5 0

Answer:

2 units

Step-by-step explanation:

on edg

weqwewe [10]4 years ago
4 0

To answer this, use "completing the square."

x2 + y2 + 8x – 6y + 21 = 0 becomes

x^2 + 8x + 16 - 16 + y^2 - 6y + 9 - 9 + 21 = 0

 (x + 4)^2       -16     + (y - 3)^2     + 12 = 0

or   (x + 4)^2      + (y - 3)^2   = 4

Since 4 = r^2, r = 2 units, and the center is at (-4, 3)

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1- Name the Circle<br><br><br>3- Name Two Chords<br><br><br>5- Name a tangent
Gnoma [55]

Answer:

Name: Circle A

Chords: Chord DP, Chord HC

Tangent: EFG

Step-by-step explanation:

Name a circle by the center, in this case it's A.

Chord: A chord is a line only in the circle, not outside of it, and its endpoints are right on the circle.

Tangent of a circle: "Tangent" means touching, and this is a line, in terms of a circle, that touches the circle but is not INSIDE of the circle.  

7 0
3 years ago
F(x) =5x^2-20x+3 how to find minimum
Leya [2.2K]

Answer:

(2,-17) should be the minimum.

Step-by-step explanation:

The minimum of a quadratic function occurs at x=-\frac{b}{2a} . If a is positive, the minimum value of the function is f(-\frac{b}{2a})

f_{min}x=ax^2+bx+c occurs at x=-\frac{b}{2a}

Find the value of x=-\frac{b}{2a}

x = 2

evaluate f(2).

replace the variable x with 2 in the expression.

f(2)=5(2)^2-20(2)+3

simplify the result.

f(2)=5(4)-20(2)+3

f(2)=20-40+3

f(2)=-17

The final answer is -17

Use the x and y values to find where the minimum occurs.

HOPE THIS HELPS!

3 0
3 years ago
1. L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack i
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Divide $2,673 by 486
6 0
3 years ago
Read 2 more answers
Polynomials with the same roots can have different graphs. True? Or false?
Diano4ka-milaya [45]
True.

E.g. (x-1)(x-2) versus 100(x-1)(x-2)

They have same roots of x= 1 or 2, but the second equation is 100 times stretching of the first one vertically
8 0
3 years ago
Two less than six times a number is the same as thirteen more than a number. Find the number.​
NNADVOKAT [17]
6x - 2 = x + 13
Subtract x
5x - 2 = 13
Add 2
5x = 15, x = 3
Solution: the number is 3
6 0
3 years ago
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