The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.
A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.
For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.
Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.
To do this, simply multiply the whole equation with a real number.
Example:
Multiplying the whole equation by 2 gives 6x - 4y = 16.
Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.
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Answer:
3.14 or pi
Step-by-step explanation:
the area of a circle = 
where r is the radius of the circle
this is 1/4 of the circle, so it would be 1/4 (pi * r²)
it shows that the radius is 2, so you have
1/4 ( pi * 2²)
= 1/4 ( pi * 4 )
= 1/4 (3.14 * 4)
= 3.14 units²
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
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(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
It is a visual thing. You can see how big or small the fraction is. So the one that is shaded the most in the fraction strip will be the largest fraction, and the one that is shaded the least is the smallest fraction.
