Answer:
5sqrt(5) meters
Step-by-step explanation:
Picture a right triangle with one horizontal leg and one vertical leg, as well as the hypotenuse. Walking 10 meters west is represented horizontally. Likewise, walking 5 meters south is represented vertically. This right triangle thus has two legs of lengths 10 m and 5 m respectively; according to the Pythagorean Theorem, the length of the diagonal (which represents the distance from home) is d = sqrt(10^2 + 5^2) = sqrt(125) = 5sqrt(5). Round this off to the nearest tenth m (meter or mile) after evaluating the square root on a calculator.
Answer:
4) x^10
Step-by-step explanation:
1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.
2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.
3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.
4) (x^2*x^4)^4÷x^8
First do what's in the parentheses,
(x^2*x^4) = x^6
Next do the exponents,
(x^6)^3 = x^18
Lastly the division,
x^18÷x^8 = x^10
x^10 is our answer.
Answer:
with what? do you need help with?
Answer: 15
Explanation: multiply 20 by .75
The constant of proportionality is 13
