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2 years ago

Help Use the Pythagorean theorem to write an equation for 16^2+12^2=c^2

Mathematics

1 answer:

Mamont248 [21]2 years ago

6 0

Answer:

C=20

Step-by-step explanation:

Pythagorean theorem is a^2 + b^2=c^2. So, a=16, and b=12. 16 squared is 256. 12 squared is 144. 256+144=400. 400=c^2. So, the square root of 400=c. and that is 20.

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2 years ago

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Two airplanes, which start 3{,}3003,3003, comma, 300 miles apart, fly toward each other. The two planes fly at a constant speed,

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Answer:

distance=rate*time

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Step-by-step explanation:

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2 years ago

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Answer:

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2 years ago

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Answer:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Step-by-step explanation:

We proceed to solve algebraically and explain each step:

1) $4\cdot x +1 +x + 3 = -11$ GIven

2) $4\cdot x +x +1 + 3 = -11$ Commutative property

3) $(4+1)\cdot x +4 = -11$ Distributive property/Definition of addition

4) $5\cdot x +4 = -11$ Definition of addition

5) $5\cdot x +4 -4 = -11-4$ Compatibility with addition

6) $5\cdot x = -15$ Existence of additive inverse/Modulative property

7) $\frac{1}{5}\cdot (5\cdot x)= \frac{1}{5}\cdot (-15)$ Compatibility with multiplication

8) $x = - 3$ Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

Hence, we have the following answers:

(1) Commutative property

(2) Distributive property/Definition of addition

(3) Compatibility with addition/Existence of additive inverse/Modulative property

(4) Compatibility with multiplication/Associative property/Definition of division/Existence of additive inverse/Commutative and modulative properties/Result

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2 years ago