For the rectangle do 10x15 to get 150cm squared
14-10 is 4 so triangle height is 4
Width is 5 as given
4x5 is 20 divide by two as triangle so 10cm squared
150+10=160cm squared
The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
<h3>How to determine the least polynomial given a set of roots and a leading coefficient</h3>
Polynomials can be expressed as a product of binomials of the form (x - r) multiplied by a <em>leading</em> coefficient. The <em>least</em> polynomial contain the number of roots presented in statement, whose <em>factor</em> form is shown below:
f(x) = 1 · (x + 3)³ · x³ · (x - 3)
f(x) = (x + 3)³ · (x⁴ - 3 · x³)
f(x) = (x³ + 9 · x² + 27 · x + 27) · (x⁴ - 3 · x³)
f(x) = x⁷ + 9 · x⁶ + 27 · x⁵ + 27 · x⁴ - 3 · x⁶ - 27 · x⁵ - 81 · x⁴ - 81 · x³
f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³
The <em>least</em> polynomial in <em>standard</em> form is defined by the function f(x) = x⁷ + 6 · x⁶ - 54 · x⁴ - 81 · x³.
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Answer:
b. -36/77
Step-by-step explanation:
As 0 < x <
/2 => tan x > 0
As 0< y <
/2 => tan y > 0
We have the formula:
As tan x = 1/(cotx) => 
As tan x > 0 => tan x = 8/15
As tan y > 0 => tan y = 4/3
As tan (x-y)=
3s+28=85, take away 28 from both sides of the equals to give you 3s=57, divide by 3 on both side to give you s=19.