Answer:
<h2><em>
A = 75 in²</em></h2>
Step-by-step explanation:
We have the rectangle and the right triangle.
The formula of an area of a rectangle:
<em>A = lw</em>
<em>l</em> - length
<em>w </em>- width
We have <em>l = 10 in</em> and <em>w = 5 in</em>. Substitute:
<em>A = (10)(5) = 50 in²</em>
The formula of an area of a triangle:
<em>A = 1/2 bh</em>
<em>b</em> - base
<em>h</em> - height
We have <em>b = 5 in</em> and <em>h = 5 in + 5 in = 10 in</em>. Substitute:
<em>A = 1/2(5)(10)=1/2(50)=25 in²</em>
The area of figure:
<h3><em>
A = 50 in² + 25 in² = 75 in²</em></h3>
The distance between the coordinates (0, 4) and (10,4) is 10
Step-by-step explanation:
We need to find the distance between the coordinates (0, 4) and (10,4)
The formula used to find distance is:
where
Putting values:
So, The distance between the coordinates (0, 4) and (10,4) is 10
Keywords: Distance between coordinates
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The polynomial for this case is given by:
(x) * (x-1) * (x + 1) * (x-4) = 0
Rescribing we have:
(x) * (x ^ 2-1) * (x-4) = 0
(x) * (x ^ 3 - 4x ^ 2 - x + 4) = 0
(x ^ 4 - 4x ^ 3 - x ^ 2 + 4x) = 0
Therefore, the polynomial in standard form is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
Answer:
a polynomial function in standard form with zeroes 0, 1, 4, and -1 is:
f (x) = x ^ 4 - 4x ^ 3 - x ^ 2 + 4x
