Answer:
x = 3
Step-by-step explanation:
x + 3 = 4x - 6
add 6 to both sides
x + 9 = 4x
subtract x from both sides
9 = 3x
divide 3 from both sides
x = 3
To construct a perpendicular bisector, we have to draw two arcs using each of the endpoints as centers
<h3>What is a perpendicular bisector?</h3>
A perpendicular bisector is said to be a line that intersects the segment of another line perpendicularly and also divides it into two equal parts.
The properties of a perpendicular bisector include:
- It divides a line segment into two equal parts
- It makes right angles with the line segment.
- Points in the perpendicular bisector are equal from the line of the segment.
Hence, all the mentioned properties are correct except that to construct it, we have to draw two arcs using each of the endpoints as centers.
Learn more about perpendicular bisector here:
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Answer:
Number lines can show what the distance is that you have traveled from one point to the other. You would be able to count on the number line.
Answer:
The minimum value is 24
Step-by-step explanation:
we know that
The "feasible region" has vertices 
The objective function is 
To determine the minimum value of the objective function, substitute the value of x and the value of y of each vertex in the objective function and then compare the values
1) For (4,5)
x=4,y=5

2) For (4,6)
x=4,y=6

3) For (7,4)
x=7,y=4

4) For (3,6)
x=3,y=6

therefore
The minimum value is 24