Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Answer: 60 miles
Step-by-step explanation:
Given
It takes ferry 2 hours to travel to town A and only 
to travel back to town B.
Speed of current is 
Suppose the speed of the ferry is 
mph
Distance traveled in both the cases is same, but it took more time traveling to city A that is, ferry is moving upstream and downstream for returning time.
Distance between the towns is 
Answer:
slope = -9/2
Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
y = -9/2 x
Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0
Hope this helps :)
y = -9/2
