Answer:
B
Step-by-step explanation:
I would use the Pythagorean theorem to solve distances between 2 points, and this case is no exception.
We need to find the positive difference in their x coordinates and y coordinates.
The difference in x coordinates: 7
The difference in y coordinates: 8
Now we can use the Pythagorean theorem:
7^2+8^2 = x^2
49+64 = x^2
113 = x^2
x = sqrt(113)
Therefore, the answer is B.
Answer:
$2,185
Step-by-step explanation:
Multiply the amount spent by the tax rate.
23,000 x 9.5% = $2,185
Evaluate 
at 
:
Compute the line element 
:
Simplifying the integrand, we have
Then the line integral evaluates to
Answer:
27.77%
Step-by-step explanation:
The probability of not drawn a red ball is 3/6. The probability of not drawn a green ball is 4/6, and the probability of not drawn a yellow ball is 5/6. So, the probability of not drawn at least one color is the multiplication of the probabilities of each color, so (3/6)*(5/6)*(4/6) = 0.2777.
Just use the Pythagorean Theorem
(9 +x)^2 = 15^2 + x^2
x^2 + 18x + 81 = 225 + x^2
18x = 144
x = 8
So the three sides of the triangle are
15, 8 and 17
