Use triangles to find the sum of the interior angle measures of the polygon. What's the answer?
2 answers:
Answer: 180*5=900
Step-by-step explanation:
1) Start from the middle triangle and draw 2 lines connecting the edges to the bottom 2 angles. This should result in the crown splitting into 3 sections.
2) Go to the triangles on each side and connect them to the middle triangle. It should result in the crown having 5 triangles.
3) Multiply the 5 triangles by 180 (the angle sum of a triangle) to get 900.
Crown after all the lines are drawn:
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The roots of the entire <em>polynomic</em> expression, that is, the product of p(x) = x^2 + 8x + 12 and q(x) = x^3 + 5x^2 - 6x, are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
<h3>How to solve a product of two polynomials </h3>
A value of <em>x</em> is said to be a root of the polynomial if and only if <em>r(x) =</em> 0. Let be <em>r(x) = p(x) · q(x)</em>, then we need to find the roots both for <em>p(x)</em> and <em>q(x)</em> by factoring each polynomial, the factoring is based on algebraic properties:
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x² + 5 · x - 6)
<em>r(x) =</em> (x + 6) · (x + 2) · x · (x + 3) · (x + 2)
r(x) = x · (x + 2)² · (x + 3) · (x + 6)
By direct inspection, we conclude that the roots of the entire <em>polynomic</em> expression are <em>x₁ =</em> 0, <em>x₂ =</em> -2, <em>x₃ =</em> -3 and <em>x₄ =</em> -6.
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Answer:
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to
where
m is the slope
b is the y-intercept
so
1) Find the slope of the given line
The slope is
2) Find the y-intercept of the given line
The y-intercept is
therefore
The equation of the line with
is equal to