The sum of the squares of their ages is; 5x²
<h3>How to Solve Algebraic Word Problems?</h3>
We are told that Maria is twice the age of Miriam.
Now, of the age of Miriam is x, then we can say that;
Age of Mariam = x
Age of Maria = 2x
Now, we want to find the sum of the squares of their ages. Thus, this is expressed as;
x² + (2x)²
= x² + 4x²
= 5x²
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The complete question is;
Express in algebraic language: the sum of the squares of the ages of Maria and Miriam, if it is known that Maria is twice the age of Miriam.
Answer:
3rd option.
Step-by-step explanation:
= 4
move 5 to the other side of the equation.
2|k| = 5(4)
2|k| = 20
move 2 to the other side of the equation.
|k| = 
k = 10
It is critical to open a compass with over half the way in order for the arcs formed to meet for perpendicular bisector.
<h3>What is perpendicular bisector?</h3>
A perpendicular bisector would be a line that cuts a line segment in half and forms a 90-degree angle at the intersection point. In other words, a perpendicular bisector separates a line segment now at midpoint, forming a 90-degree angle.
Now, consider an example;
When you wish to build a perpendicular line on a line segment, like line AB, you do the following;
- Set the compass on a radius more than half the length of the line AB.
- Using A as your center, draw an arc above and below line AB.
- With the same radius and B as our center, draw additional arcs on top or below line AB to join a first arcs on the both side of the line.
- Join the two arc intersections to cut line AB at M.
A line AB appears to be bisected perpendicularly as a result. The arcs would not have met if the compass is opened less than half way down line AB.
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