1) Question 3
The system
y = 3.5x - 3.5
y = -3.5x +3.5
has one solution.
To find it, you can add the two equations:
2y = 0 => y =0
Now replace that value in any of the two original equations.
Doing it with the first of the equations:
=> 3.5x - 3.5 = 0=> 3.5x = 3.5 = x = 3.5 / 3.5 = 1
Solution (1,0)
Answer: one solution.
2) Question 4
<span>The graph of a system of equations will intersect at more than 1 point.
Some times:
For example:
y = x + 2
2y = 2x + 4
Intersects in infinite points.
y = x + 2
y = x + 3
will not intersect
y = 2x
y = x+1
will intersect at one point.
And a system with a quadratic equation and a linear equation may drive to intersection in two points.
</span>
The reason they have to be simplified is that you cannot add radical unless the number under the radical is the same on all of them.
For example:
If you add √8 + √32 without simplifying, the best you could do is an estimate. But if you're required to put your answer in standard radical form this would be an issue.
So, you would have to simplify to combine:
√4√2 + √16√2
2√2 + 4√2
6√2
Hope this helped!
A. yes
B. yes
C. no
D. yes
E. no
A pattern of gradual change<span> in a condition, output, or process, or an average or general </span>tendency<span> of a series of data points to move in a certain direction over time, represented by a line or curve on a graph.</span>
If the perimeter is 16, the side length is 4 units.
To find the area of the shaded sections, you will use the fractional part that each section represents and multiply that fraction by the total area of the square.
Area of DEA is 1/4 of 16 square Units (4 x 4).
1/4 x 16 = 4 square units
Area of EFB is 1/8 of 16 square units.
1/8 x 16 = 2 square units
4 square units +2 square units equals 6 square units.
The area of the shaded region is 6 square units.
