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>
Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.
"25%" means "0.25"
"of" means "times"
You said 11 members = 0.25 x (the club)
Divide each side by 0.25 : The club = (11 / 0.25) =<em> 44 members
</em>This is as fast as I can type.<em>
</em>
7.95 ÷ 1.06 = $7.50
This works as by dividing 7.95 by the percentage multiplier 1.06 it will give you the original amount.
An alternative method is to find out what 100% (7.95) is, then divide by 10 to find 10% and then divide by 10 again to find 1% and then multiply the 1% by 6 and subtracting the answer from 7.95.
Answer:
The answer to 8756 x 6734 is 58962904
