Answer:
Step-by-step explanation:
<h2>as the non parallel sides are equal and it is a trapezoid.</h2><h2>∴ base angles are equal.</h2><h2>each base angle=1/2×140=70°</h2><h2>let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.</h2><h2>====================================================
Explanation:
The red shaded region is the solution set. In other words, if the point is in the red region, then it is a solution. A point like (0,0) is in the red area, so we cross that off the list. The same applies for (4,6) and (-2,-8) as well.
In contrast, a point like (5,1) is <u>not</u> in the red shaded area, so this point is <u>not a solution</u>. Hence it's the final answer.
Note: the solid boundary line means points on the boundary are considered solutions. A dashed boundary line would be used to exclude boundary points from the solution set. Solid boundary lines always go with "or equal to".
Refer to the drawing below if you need a visual of what's going on. I've plotted the four points on the graph given.
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Here's an algebraic approach if you don't have a graph and only have the inequality. Ignore this section if you prefer the first section above.
If we plugged (x,y) = (0,0) into the inequality, then we get...
That's a true statement because 0 is to the right of -4 on the number line, making 0 larger than -4. Since the last inequality is true, this makes the first inequality true. Furthermore, it algebraically confirms why (0,0) is a solution. You should find that (4,6) and (-2,-8) will lead to true statements as well, so they are solutions.
In contrast, (x,y) = (5,1) is not a solution because...
which is false. The value 1 is not larger than 6, nor is it equal to 6.
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. You have that she substituted into the simplified expression and the result was -4.
2. Therefore, if you substitute into all the expressions shown in the options, you will see that the result of the expression
is -4, as you can see below:
Answer:
1000 m³
Step-by-step explanation:
The base of a cube is just a square.
The area of a square is , where l is the length.
Since we know the area of the base (the square) we can find l easily.
Now that we know the length of the sides, we have to take note that a cube has side lengths that are all congruent.
This means the height of the cube is also 10m.
Since the volume of a cube is represented as , where l is the length, we can substitute 10 in as
to find it's total volume.
So the volume of this cube is 1000 m³.
Hope this helped!