Answer:
The measure of the shortest side is 851 miles
Step-by-step explanation:
Let
x ----> the measure of the shortest side
y ---> the measure of the middle side
z ---> the measure of the longest side
we know that
The perimeter of triangle is equal to


so
----> equation A
the shortest side measures 71 mi less than the middle side
so
----> equation B
the longest side measures 372 mi more the the middle side
so
----> equation C
substitute equation B and equation C in equation A

solve for y

Find the value of x

therefore
The measure of the shortest side is 851 miles
Answer:
(x, y) = (-4, 15)
Step-by-step explanation:
The two equations have the same coefficient for y, so you can eliminate y by subtracting one equation from the other. Here the x coefficient is largest for the first equation, so it will work best to subtract the second equation.
(3x +y) -(2x +y) = (3) -(7)
x = -4 . . . . . . . . simplify
Now, we can find y by substituting this value for x.
2(-4) +y = 7
y = 7 +8 = 15 . . . . . add 8 to both sides of the equation
The solution is (x, y) = (-4, 15).
11km = 5h
1km = 5h divide by 11km = 0.45h
16.5km = 0.45 x 16.5 = 7.42 h
Step-by-step explanation:
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Answer:
The no. of variations in sign is 3
Step-by-step explanation:
Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.
Therefore, the determination of the number of changes in sign in the given sequence is must.
Therefore, we take the product of the pair of consecutive terms as:
= - 3, variation in sign
= - 6, variation in sign
= 10, no sign variation
= - 20, variation in sign
= 24, no sign variation