A hiker leaves camp and walks 6 miles east. Then he walks 18 miles south. How far from camp is the hiker? Distance in miles: Usi
ng quadratic applications
1 answer:
Answer: 19 miles
Step-by-step explanation:
Hi, since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the distance between the hiker and the camp) and a and b are the other sides.
Replacing with the values given:
x^2 = 6^2 + 18^2
x^2 = 36+324
x^2 = 360
x = √360
x = 18.97miles = 19 miles
Feel free to ask for more if needed or if you did not understand something.
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Answer:
Equivalent expressions
A)
C)
Step-by-step explanation:
Given expression :
Choices given :
A)
B)
C)
D)
To find the equivalent expression.
We will first evaluate the given expression.
⇒ [Quotient of a negative dividend and a positive divisor is always negative]
Evaluating each choice to select the equivalents.
A)
⇒ [Quotient of a positive dividend and a negative divisor is always negative]
B)
⇒
⇒
C)
⇒ [Product of a positive and a negative is always a negative]
⇒
D)
⇒ [Product of two negatives is always a positive]
⇒
∴ We see that the choices A and C are equivalent.