What is the center this circle?
x2 + y2 + 6x – 10y + 18 = 0

(- 3, 5 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

x² + y² + 6x - 10y + 18 = 0 (collect x terms and y terms together )

x² + 6x + y² - 10y + 18 = 0 ( subtract 18 from both sides )

x² + 6x + y² - 10y = - 18

Use the method of completing the square on both the x and y terms

add ( half the coefficient of the x/ y term )² to both sides

x² + 2(3)x + 9 + y² + 2(- 5)y + 25 = - 18 + 9 + 25, that is

(x + 3)² + (y - 5)² = 16 ← in standard form

with centre = (- 3, 5 ) and r = = 4

450

step-by-step explanation:

you get texts and minutes, so why not

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.