P ( x ) = x³ - 4 x² + 3 x - 12 =
= x² ( x - 4 ) +3 ( x - 4 ) = ( x - 4 ) · ( x² + 3 )
x - 4 = 0, x = 4
x² + 3 = 0, x² = - 3 ( there is no real solution )
Answer: In 4 years the company will break even.
Answer:
The answer would be 19.25 ft because 1cm x 2.5 = 2.5 ft so you will have to do the same to 7.7 cm : 7.7cm x 2.5 = 19.25 ft.
Step-by-step explanation:
Answer:
C. 12cm
Step-by-step explanation:
Sum of any two sides of a triangle must always be greater than the third side.
here 8 + 7 = 15 > 12
Hence, option C is the correct answer.
Option A: SU, TU, ST is the right answer
Step-by-step explanation:
In a triangle
- The largest side and the largest angle are opposite to each other
- The shortest side and the shortest angle are opposite to each other.
So using the above axioms we can observe the triangle.
- The largest angle is m∠U = 80° so the side opposite to it is the largest i.e. ST is the largest
- The smallest angle is m∠T = 25° so the shortest side is SU
- The third side will be the middle side as the angle ∠S is greater than 25° and less than 80°
So the sides in order from least to greatest are: SU, TU, ST
Hence,
Option A: SU, TU, ST is the right answer
Keywords: Geometry, Triangles
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The circumcenter of a triangle is the point where the perpendicular bisectors of the sides intersect. It is also the center of the circumcircle, the circle that passes through all three vertices of the triangle. This page shows how to construct (draw) the circumcenter of a triangle with compass and straightedge or ruler. This construction assumes you are already familiar with Constructing the Perpendicular Bisector of a Line Segment.