They will be forming a right triangle.
long leg is the height of Lyra. 22 meters high from the entrance.
short leg is the distance of Donna. 50 meters from the entrance.
We need to solve for the hypotenuse or the range of communication.
a² + b² = c²
22² + 50² = c²
484 + 2500 = c²
2,984 = c²
√2,984 = √c²
54.63 = c
The range of communication for the two radios is 55 meters.
If you can rewrite the formula as (x-a)² + (y-b)² = r², the center is at (a,b) and the radius is r.
If you work out this equation, and map it to the original, you will find that the +4x term hints that a = 2 (double product) and -12y hints that b=-6, and r=6.
So, the formula can be written as (x+2)² + (y-6)² = 6² and the center is at (-2,6) and the radius is 6.
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Answer:
- Benito's error was stating that the correspongind sides and angles are equal (=) instead of stating that they are congurent (≅).
Explanation:
In geometry two different figures (segments, angles, polygons ,...) are not said to be equal but congruent.
Congruent means that they have the same measure but not that they are equal in other senses.
The use of equal is applied to numbers or variables),so you can tell x = 2, 3 = 3, A = πr², but you should not say segment AB is equal to segment BC. Instead you say segment AB ≅ segment BC, which is segment AB is congruent to segment BC.
Of course, you still can use the word equal (symbol =) if you state that you are talking about measures.
This also can help you
- Correct: segment AB ≅ segment BC
- Correct: legth of segment AB = length of segment BC
- Incorrect: segment AB = segment BC
Segment AB and segment BC are not equal because they are two different segments. They are congruent because they have the same length.
Note: the bars shown over the letters AB, BC, AD, DC, mean segment.
