Answer: 80 miles for the first ship, and 150 miles for the other.
Explanation:
First thing we should do is correspond each number with a letter:
Let x be the distance travel by ship heading east
Let y be the distance travel by ship heading south
y = x + 70 -- (1)
sqrt(x^2 + y^2) = 170 -- (2)
Subtract (1) into (2):
sqrt(x^2 + (x + 70)^2) = 170
x^2 + x^2 + 140x + 4900 = 28900
2x^2 + 140x - 24000 = 0
x ^2 + 70x - 12000 = 0
(x - 80)(x + 150) = 0
x = 80 or -150
Since the distance for the first ship can’t be negative, therefore, x = 80 -- (3)
Subtract (3) into (1), therefore, y = 150
Hope this helps! :)
Step-by-step explanation:

<span>x^(10*[ 3/5 ] ) = x^6</span><span>
</span>
6x - 3 = -51
add 3 to both sides
6x = -48
divide by 6 to both sides
× = -8
Answer:

Step-by-step explanation:
We have been given that a square pyramid has a base with a side length of 7.5 feet and lateral faces with heights of 16 feet. We are asked to find the surface area of the square pyramid.
We will use surface area of square pyramid to solve our given problem as:
, where,
a = Length of each side of base,
h = Height of lateral face.
Upon substituting our given values in above formula, we will get:




Therefore, the surface area of the given square prism would be 592.50 square feet.