Which side lengths form a right triangle?
1 answer:
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We want to solve the inequalities
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
x < 2
y ≤ 4x + 1
<span>Graph </span>the lines:
x = 2
y = 4x +1
The solution to the system of inequalities is the shaded region shown in the graph below.
Test the given points to see whether they fall within the solution region.
Point Pass/Fail
-------- --------------
(5,6) Fail
(5,-2) Fail
(-3,-15) Pass
(1,11) Fail
Answer: (=3, -15)
Answer:
The speed of the boat is 5 miles per hours
The speed of the current is 2 miles per hours .
Step-by-step explanation:
Given as :
The distance cover by boat downstream = D = 10.5 miles
The time taken by boat to cover D distance = T = 1.5 hours
The distance cover by boat Upstream = d = 10.5 miles
The time taken by boat to cover d distance = t = 3.5 hours
Let The speed of boat = x mph
Let The speed of current = mph
Now, According to question
∵ Speed =
<u>For Downstream</u>
x + y =
Or, x + y =
Or, x + y = 7 .......A
<u>For Upstream</u>
x - y =
Or, x - y =
Or, x - y = 3 .......B
Now, Solving eq A and eq B
So, (x + y) + (x - y) = 7 + 3
Or, (x + x) + (y - y) = 10
Or, 2 x + 0 = 10
∴ x =
i.e x = 5 mph
So, The speed of the boat = x = 5 miles per hours
Put the value of x into eq A
∵ x + y = 7
Or, 5 + y = 7
∴ y = 7 - 5
i.e y = 2 mph
So, The speed of the current = y = 2 miles per hours
Hence, The speed of the boat is 5 miles per hours and The speed of the current is 2 miles per hours . Answer