Answer:
A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.
Step-by-step explanation:
Hope this helps!!
Answer and explanation:
We know that this is in slope-intercept form. ( y = mx + b )
1/2 would be the slope (you would use this to graph the next point)
-4 would by your y-intercept (where the line crosses the x-axis)
With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.
Answer: The measurement of angle DBC is 65 degrees
Step-by-step explanation:
Line BD splits ABC into two angles ABD and DBC.
If ABC is 90 then the measures of ABD + DBC will be 90. Since we know the measure of ABD we can make this equation and solve it
Answer: Graph D (bottom right corner)
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Explanation:
The equation y = 3x+3 is in slope intercept form y = mx+b
m = 3 = slope
b = 3 = y intercept
In this case, both the slope and y intercept are the same (though in general they tend not to be).
The positive slope value means the line goes uphill as you move from left to right. The positive y intercept means the diagonal line crosses the y axis somewhere above the horizontal x axis. Specifically, it crosses the y axis at y = 3
Graph D is the only graph that has such a line on it. Graphs A, B and C have the positive slope line where they have a negative y intercept, so we can rule them out.
You can use graphing tools such as Desmos or Geogebra to help confirm this answer. You could also make a table of values, and plot each point, to form the lines. Two points is the minimum amount needed to form any line.
Answer:
Graph F
Step-by-step explanation:
Given
x + 3 < 7 ( subtract 3 from both sides )
x < 4
Since x is less than 4 then this is indicated by an open circle at 4 on the number line with the arrow pointing to the left as shown on graph F
