Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)
Answer:
25.12inch^2
Step-by-step explanation:
Area= pi r^2 = 3.14 x 8 =25.12inch^2
Answer:
Step-by-step explanation:
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70.1 ft² of fabric is needed by Lacy to make the sail boat.
<h3>
Trigonometric ratio</h3>
Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let b represent the base of the triangle and h the height, hence:
sin(60) = h / 18
h = 15.6 feet
sin(30) = b / 18
b = 9 feet
The area of triangle = (1/2) * b * h = 0.5 * 9 * 15.6 = 70.1 ft²
70.1 ft² of fabric is needed by Lacy to make the sail boat.
Find out more on Trigonometric ratio at: brainly.com/question/6459892
Answer:
n = (1/2)(-1 ± i√2)
Step-by-step explanation:
Among the several ways in which quadratic equations can be solved is the quadratic formula. Putting to use the coefficients {12, 12, 9}, we obtain the discriminant, b^2 - 4ac: 12^2 - 4(12)(9) = 144 - 432 = -288. The negative sign of this discriminant tells us that the quadratic has two unequal, complex roots. These roots are:
-b ± √(discriminant)
n = ---------------------------------
2a
Here we have:
-12 ± √(-288) -12 ± i√2√144 -12 ± i12√2
n = ---------------------- = ------------------------ = --------------------
2(12) 24 24
or:
n = (1/2)(-1 ± i√2)
