The given equation is ⇒⇒⇒ 2y - 4x = 6
∴ 2y = 4x + 6 ⇒ divide all the equation over 2
∴ y = 2x + 3 and it can be written as ⇒⇒⇒ y - 2x = 3
The last equation represents a straight line with a slope = 2 and y-intercept = 3
To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.
so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a
Where a is constant and belongs to R ( All real numbers )
The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>
Volume of a cylinder = base x height
the base is the area of the circle at the bottom.
To find the area of a circle, you use:
A = πr²
where r is the radius of the circle.
radius is half of the diameter, so with a diameter of 12.3, (divide that by 2) the radius of the circle is 6.15 feet.
A = π(6.15)²
A ≈ 118.82
Since we know the height is 25 feet, we can solve for the area of the cylinder.
Area of the cylinder = 118.82 x 25 = 2,970.57 feet cubed
<h3>
Answer: 2.4 pounds per dollar</h3>
Explanation:
We can set up the ratio
12 pounds : 5 dollars
Then divide both parts of that ratio by 5 so that the "5 dollars" becomes "1 dollar"
The ratio 12 pounds : 5 dollars is equivalent to 2.4 pounds : 1 dollar
Answer:
Poorly formated. Please fix the question so it is more understandable!
Answer:
Let x and y be the two positive integers the Christopher is thinking.
x is equal to 7
and y =20
