Vertices (3,0),(-3,0) co-vertices (0,-5),(0,5)
transverse axis (line passing vertices) is on(or parallel to) x-axis then formula is
(x-h)^2/a^2 - (y-k)^2/b^2 = 1
..notice.. x^2 is on positive / y^2 is on negative
center (h,k) is midway between vertices = (0,0)
we have h = k = 0 and now formula is
x^2/a^2 - y^2/b^2 = 1
a is the distance from a vertex to center = 3
b is the distance from a co-vertex to center = 5
the formula is
x^2/3^2 - y^2/5^2 = 1 ... answer is the 1st
<u>Answer:</u> 100
<u>Reasoning:</u> The median is the "middle value" and to find it put the numbers in order from least to greatest.
22, 43, 100, 102, 108.
now take a number from both sides
43, 100, 102
Once again.
100
So 100 is the median.
I would personally add 6x to both sides to give 10x=-28, then divide by 10 to give x=-2.8
Collect the x's on one side
We know that DO and OX have equal side lengths. Since DX's length is 13, we divide 13 by 2 to get 6.5 as our answer for length OX. We also know that DO's length is also 6.5 because when we add 6.5 by 6.5, we get 13 as our total length of DX.
6.5 rounded to is 7.
So, length OX is 7 when rounded and that would be your answer.
The window has a shape of a semi-circle (half of a circle).
We know the diameter d = 12 ft.
The area of a (complete) circle is given by the formula:
A = π × r²
The radius can be found by halving the diameter:
r = d ÷ 2
= 12 ÷ 2
= 6 ft
Therefore the area of the circle will be:
<span>A = π × r²
= 3.14 × 6</span>²
= <span>3.14 × 36
= 113.04 ft²
And the area of the semi-circle:
A = </span><span>113.04 </span>÷ 2
= 56.52 ft²
Hence, the area of the window will be 56.52 ft².
