The diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B
<h3>What is a locus?</h3>
A locus is defined as a set of points, which satisfies a given condition or situation for a shape or a figure.
It is important to note that:
- The locus of points in a plane that are all the same distance from a single point is a circle with radius, r
- A circle is the locus of all the points in the plane which are equidistant from the points in that plane
- The locus of all points equidistant from the vertices of a square is a straight line that is perpendicular to the plane of the square, through the center of the square
We can see that for a circle, the locus of all points in the plane is the radius equidistant from that line.
Thus, the diagram which the locus of all the points in the plane that are 3cm away from a single point A is Option B
Learn more about locus here:
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Answer:
36 inches
Step-by-step explanation:
P= 2l + 2w
P= 2(10) + 2(8)
P= 20 + 16
P= 36
Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
We use the law of the sum of the 3 first terms of the geometric sequence:
