Answer:
Step-by-step explanation:
4b - 6d = 4*7 - 6*3
= 28 - 18
= 10
The absolute value equation with the wanted solutions is:
|x| - 1/2 = 0
<h3>
How to find the absolute value equation?</h3>
Here we want to find an absolute value equation such that the solutions are:
x = -1/2 and x = 1/2.
Remember that the absolute value equation always changes the sign, such that the outcome is positive.
This means that:
|1/2| = 1/2
|-1/2| = 1/2
Then a trivial equation with these two solutions is:
|x| - 1/2 = 0
Where the two solutions are x = 1/2 and x = -1/2.
If you want to learn more about absolute value equations:
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LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
Answer:
If two distinct planes intersect, then their intersection is a line. If two distinct lines intersect, then they intersect in exactly one point. If there is a line and a point not in the line, then there is exactly one plane that contains them. If two distinct lines intersect, then they lie exactly in one plane.
Step-by-step explanation:
