Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
The arc length of the circle is 5π/9 units
<h3>How to determine the arc length?</h3>
From the question, we have the following parameters
Angle, ∅ = 5π/9
Radius, r = 1 unit
The arc length (x) is calculated as
x = r∅
Substitute the known values in the above equation
x = 5π/9 * 1
Evaluate the product
x = 5π/9
Hence, the arc length of the circle is 5π/9 units
Read more about arc lengths at:
brainly.com/question/2005046
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X Δx y Δy
3 1
1 1 - 3 = - 2 2 2 - 1 = 1
-1 -1 - 1 = -2 3 3 - 2 = 1
-3 -3 - (-1) = -2 4 4 - 3 = 1
So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.
That is the result of a linear function, not an exponential one.
So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>
Answer:
19.25ft
Step-by-step explanation:
area = length x width so 3.5 x 5.5 = 19.25
D) 1\9 because it has zero X
B) 5
A) the difference is that 1/9 has zero X and 4\9 and 5\9 have the highest which is 4
B) 4
