Answer:
87/4
Step-by-step explanation:
<u>Step 1: Convert 21 3/4 into an improper fraction</u>
21 3/4 is same as 21 * 4/4 + 3/4
21 * 4/4 = 84/4
<u>Step 2: Add them up</u>
84/4 + 3/4
87/4
Answer: 87/4
Area of the base = 6 (1/2 x 4.3 x 5) = 64.5cm
Area of the top = area of the base = 64.5cm
Area of the 6 side rectangles = 6 x 5 x 11 = 330 cm
Total surface area = 64.5 + 64. 5+ 330 = 459 cm²
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Answer: Total surface area = 459 cm²
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Answer:
ABOVE the x-axis
Step-by-step explanation:
Please use "^" to denote exponentiation: y = x^2 + 2x + 3
To find the vertex, we must complete the square of y = x^2 + 2x + 3, so that we have an equivalent equation in the form f(x) = (x - h)^2 + k.
Starting with y = x^2 + 2x + 3,
we identify the coefficient of x (which is 2), take half of that (which gives
us 1), add 1 and then subtract 1, between "2x" and "3":
y = x^2 + 2x + 1 - 1 + 3
Now rewrite x^2 + 2x + 1 as (x + 1)^2:
y = (x + 1)^2 - 1 + 3, or y = (x + 1)^2 + 2. Comparing this to f(x) = (x - h)^2 + k, we see that h = 1 and k = 2. This tells us that the vertex of this parabola is at (h, k): (1, 2), which is ABOVE the x-axis.
No never it has to have a whole number
