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If the width is 12 and the length is 18, the perimeter of the rectangle is 12 + 12 + 18 + 18, or 60. So yes the perimeter can be 60.
Answer:
the solution is (-3, -2)
Step-by-step explanation:
Please, separate your equations with a (;) or a (.). Better yet, write only one equation per line:
y=2x+4
3x−6y=3
Substitute 2x + 4 for y in the second equation:
3x - 6(2x + 4) = 3, or
3x - 12x - 24 = 3
Combining like terms, we get -9x = 27, and so x = -27/9, or x = -3.
Since we know that y=2x+4, we replace x in this equation with -3 and calculate y:
y = 2(-3) + 4 = -2
Then the solution is (-3, -2).
Answer:
(C) 245 miles
Step-by-step explanation:
We can view the starting and ending flight points as the hypotenuse of a right-angle triangle. Since the plane flew 125 miles south, the height of the triangle is 125 and we are given the hypotenuse as 275
If we designate the height as a and the hypotenuse as h, and the base as b then
h² = a² + b² by the Pythagorean theorem
or
b² = h² - a² ==> (h + a)(h - a) {x² - y² = (x + y) (x -y)}
Substituting known values
b² = 275² - 125² = (275 + 125)(275-125) = 400 x 150 = 60,000
b = √60000 = 244.94 and the closest answer is C: 245 miles
