Answer:
Below
Step-by-step explanation:
● x^2 + 11x + 121/4 = 125/4
Substract 125/4 from both sides:
● x^2 + 11x + 121/4-125/4= 125/4 -125/4
● x^2 + 11x - (-4/4) = 0
● x^2 +11x -(-1) = 0
● x^2 + 11 x + 1 = 0
This is a quadratic equation so we will use the determinanant (b^2-4ac)
● a = 1
● b = 11
● c = 1
● b^2-4ac = 11^2-4*1*1 = 117
So this equation has two solutions:
● x = (-b -/+ √(b^2-4ac) ) / 2a
● x = (-11 -/+ √(117) ) / 2
● x = (-11 -/+ 3√(13))/ 2
● x = -0.91 or x = -10.9
Round to the nearest unit
● x = -1 or x = -11
The solutions are { -1,-11}
Answer: The length of the rectangle is 15 inches
Step-by-step explanation:
Let L represent the length of the rectangle.
Let W represent the width of the rectangle.
The perimeter of a rectangle is expressed as 2 length + 2 width
Perimeter = 2(L + W)
The rectangle has a perimeter of 52 inches. It means that
2(L + W) = 52
L + W = 52/2 = 26 - - - - - - - 1
The length of the rectangle is 4 inches more than its width. It means that
L = W + 4
Substituting L = W + 4 into equation 1, it becomes
W + 4 + W = 26
2W = 26 - 4 = 22
W = 22/2 = 11
L = W + 4 = 11 + 4 = 15
Answer:
8π in
Step-by-step explanation:
The Area of a Circle is πr². In this case, we're given the area as 16π, so the radius is 4 because the square root of 16 is 4.
The Circumference of a Circle is 2πr. Since the radius is 4:
Therefore, the circumference is 8π inches.
The truck in this example is 14 feet tall if it's shadow is 12 feet long.
