oudithe3
28.01.2020 •
Mathematics
Using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit. x2 + 2x + y2 + 4y = 20
if you can explain this in an easy way for me to understand ill make u the top !
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Ответ:
Centre = (-1, -2); r = 5
Step-by-step explanation:
The centre-radius form for the equation of a circle is
(x - h)² + (y - k)² = r²
where r is the radius and the centre is at (h, k) .
Your equation is
x² + 2x + y² + 4y = 20
Step 1. Complete the squares for x and y
Square half the coefficients of x and y and add them to each side of the equation
(x² + 2x + 1²) + (y² + 4y + 2²) = 20 + 1² + 2²
Step 2. Write the left-hand side as squares of binomials
(x + 1)² + (y+ 2)² = 20 + 1² + 2²
Step 3. Convert the right-hand side to a square
(x + 1)² + (y + 2)² = 20 + 1 + 4
(x + 1)² + (y + 2)² = 25
(x + 1)² + (y + 2)² = 5²
h = -1; k = -2; r = 5
The graph below shows that this is the equation for a circle with
centre (-1, -2) and radius 5.
Ответ:
☁️ Answer ☁️
annyeonghaseyo!
The answer is:
B - x = 5
Hope it helps!
Have a nice day hyung/noona!!~  ̄▽ ̄❤️