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>
add the fractiosn together, since they all have the same denominator, simply add the numerators
1/4+2/4+3/4=6/4
or
1 1/2 yards of fabric (2/4 = 1/2)
Answer:
A triangular prism has base edges 4 cm, 5 cm, and 6 cm long. Its lateral area is
300 cm2.
What is the height of the prism?
Inverse
Inverse - is a conditional statement that NEGATES both the hypothesis and the conclusion of the original conditional statement.
The tree grows 6cm per year and we need to find out how long it will take to grow 1 meter. We know that 1 meter is equal to 100 centimeters. So:
6x = 100
x = 16.67
It will take 16.67 years (or one and two-thirds of a year) for the tree to reach 1 meter.
