Isiah is 5.83 miles away from his starting point.
When you draw the the miles Isaiah walks, you will discover that you are forming a right angle triangle.
To measure the length from the starting point to the ending point. We must used the Pythagorean equation. Where in the square of the hypotenuse is equal to the sum of squares of the other two sides.
a² + b² = c²
a = 3 miles 3² + 5² = c²
b = 5 miles 9 + 25 = c²
c = hypotenuse. 34 = c²
We must get the hypotenuse, since 34 is the square of the hypotenuse we must look for its square root.
c² = 34
c = √34
c = 5.83 miles
The rational root theorem states that the rational roots of a polynomial can only be in the form p/q, where p divides the constant term, and q divides the leading term.
In your case, both the leading term 5 and the constant term 11 are primes, so their only divisors are 1 and themselves.
So, the only feasible solutions are
For the record, in this case, none of the feasible solutions are actually a root of the polynomial.
3.4 + 2.7 = 6.1
6.1(5.35) = 32.635
So, you would be charged $32.64 or letter C :)
Answer:
1. 2/25
2. 4/15
Step-by-step explanation:
1. P(Y∩X)
Since P(X) =2/3 , P(Y) =2/5 , and P(X|Y) =1/5, this is a conditional probability.
So P(Y∩X) = P(Y)P(X|Y) = 2/5 × 1/5 = 2/25
2. P(Y)· P(X)
P(Y)· P(X) = 2/3 × 2/5 = 4/15
Answer:
k = -2
Step-by-step explanation:
x -1 0 2 5
f(x) 2 0 -4 -10
ƒ(x) = kx
Substitute a pair of values for x and ƒ(x)
-10 = k×5
Divide each side by 5
k = -2
The constant of variation k = -2.
