Answer:
centre (5, 6 ) , r = 
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 the radius
given
x² + y² - 10x - 12y + 24 = 0 ( collect x and y terms together and subtract 24 from both sides )
x² - 10x + y² - 12y = - 24
using the method of completing the square
add ( half the coefficient of the x / y terms)² to both sides
x² + 2(- 5)x + 25 + y² + 2(- 6)y + 36 = - 24 + 25 + 36
(x - 5)² + (y - 6)² = 37 ← in standard form
with centre (h, k ) = (5, 6 ) and r = 
A) Volume of a cube is found by multiplying its side by itself twice.
V = a³
V = 4³ = 4 * 4 * 4
V = 64 ft³
b) 1 cubic foot = 7.48 gallons of water.
total gallons of water = 64 ft³ x 7.48 gallons = 478.72 or 479 gallons rounded up to the nearest gallon.
Answer:
x = -24
Step-by-step explanation:
1. Subtract 2 from -46 to cancel out the addition. 2x = -48
2. Divide both sides by 2. x = -24
Answer:
The answer to your question is: Salt
Step-by-step explanation:
Element: is a substance that cannot be converted into another substance.
Compound: is a substance that is formed by 2 or more elements.
Mixture: is a substance composed by 2 or more compounds.
Iron it is an element
Salt it is a compound
River sediment it is a mixture
Ocean water it is a mixture