Step-by-step explanation:
Given inequality is 
.
To graph that inequality, first we need to graph the line 
. Then shade it for the inequality symbol <.
Graphing line can be done using two points.
plug x=0 into , we get:
Hence first point is (0,2)
Similarly plug any random number for x say x=4, we get:
Hence first point is (4,5).
Now we just need to graph both points and join them by a dotted line. because we have < not <=.
Next part is to test for shading.
Which can be done using any test point which is not on the given line. Say (0,0)
plug x=0,y=0 into .
0<2
which is true, hence shading will be in direction of test point (0,0).
Hence final answer will be the choice which looks like the graph attached below;
Answer:
E
Step-by-step explanation:
The problem says that triangle BDC lies in the plane k, which means that whatever angle is formed by another point beyond this plane with any of the three segments that form BDC (BD, DC, and BC) is the same as the angle formed by the line connecting the point and the plane.
Here, we're given that AD⊥DC, which means AD forms a 90° angle with DC. Then, since DC is already on the plane, we already know for sure that AD is definitely perpendicular to plane k.
Thus, the answer is E (none of these).
Answer:
29.5 inches squared
Step-by-step explanation:
The formula for the area of a trapezoid is 
,
so base1 = 14 inches and base2 = 30 inches
since there is a right angle, you know that the height must equal the length of the left side, so the height = 15 inches
then, 14+30+15=59 and 59/2=29.5
therefore, your answer would be 29.5 inches squared
Let, the number = x
It would be: x * 96% = 42
x * 0.96 = 42
x = 42 / 0.96
x = 43.75
In short, Your Answer would be 43.75
Hope this helps!
