Answer:
see attached
Step-by-step explanation:
I find it convenient to let a graphing calculator draw the graph (attached).
__
If you're drawing the graph by hand, there are a couple of strategies that can be useful.
The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:
y = 2x -4
This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.
__
The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...
x/2 +y/3 = 1
The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:
0 +2y = 6
y = 6/2 = 3
and set y=0 to find the x-intercept
3x +0 = 6
x = 6/3 = 2
Plot the intercepts and draw the line through them for the graph of this equation.
___
Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.
3 Pizza's - 1 whole = 2
2 Pizza's - 2/3 Of a Pizza = 4/3 Of Pizza Left
ANSWER: There are 4/3 Of Pizza Left
Answer:
Domain: (-∞, ∞)
Range: (-∞, ∞)
Step-by-step explanation:
The domain are the x-values included in the function (the horizontal axis).
The range are the y-values included in the function (the vertical axis).
The two arrows on the ends of the line (pointing upwards and downwards respectively) indicate that the function goes in those direction for infinity. Therefore, if there are an infinite amount of y-values, the range is (-∞, ∞).
While the slope is quite steep, there is still a slope and slowly "expands" the line on the horizontal axis. Because there is no limit to the y-values, the domain will also expand infinitely. Therefore, the domain is also (-∞, ∞).
Answer:
SSS:
Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.
SAS:
Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.
