analyze the solution to the system to determine whether there is a catapult arm length that Aiden and Natalie can both use to la
unch their tennis balls the same distance. Explain your reasoning
1 answer:
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Answer:
Step-by-step explanation:
We are given an isosceles triangle. We need to remember the important rule that the base angles are equal. In this question we need to find the value of 'x' using a perpendicular height of 3 and a base length of 4. In this question we can half the triangle in half to help us find the value of x. Also we need to use Pythagoras theorem to help us find 'x'. Pythagoras states that a² + b² = c² so we want to find the hypotenuse of the triangle. If we half the triangle we get 2 triangle both with a base length of 2 and a perpendicular height of 3 so,
⇒ State Pythagoras theorem
→ a² + b² = c²
⇒ Substitute in the values
→ 3² + 2² = c²
⇒ Simplify
→ 9 + 4 = c²
⇒ Simplify further
→ 13 = c²
⇒ Square root both sides to find the value of 'c'
→ = c
The value of x is the square root of 13
For 
, 
, all the more 
, therefore no solution.
For
, we have 
. Obviously that' false.
For
both 
and 
, where 
, belong to the range 
, then 
belong to the range 
.
Those ranges don't have a common part, therefore, again, no solution.
So, the equation
doesn't have a solution.
For
For
Those ranges don't have a common part, therefore, again, no solution.
So, the equation