Graph the line with y-intercept ?5 and slope ?2.
In: Math
use the construction of The circumcircle to construct Euler's line. Describle your construction in detail
In: Math
In: Math
For triangle ABC, the lines:
- through A, parallel to BC;
- through B, parallel to AC;
- through C, parallel to AB
intersect to form a triangle. Prove that the triangle is similar to triangle ABC.
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Find the equations of the line in the half-plane model of the hyperbolic plane that passes through the points (a) (1,1) and (1,6). (b) (2, 2) and (4,4)
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type a report illustrating how geometry is used in industry. Be sure to include how the values of community, responsible stewardship and excellence affect the industry you researched.,
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Goldi s Pizza palace is known throught the city .The small baby Bear pizza has a 6-inch radius and sells for $9.75.The savory medium Mama Bear pizza sells for $12.00 and has an 8-inch radius.The large papa bear pizza is hefty 20-inchs in diameter and sells for $16.50.The edge is stuffed with cheese,and it is the best part of Goldi s pizza.What size has the most pizza edge per dollar?what is the circumference of this pizza?
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In the following list of subsets of R3 , select the ones that are subspaces of R3 (multiple answers).
(As usual, incorrect answers will earn you negative points)
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Entire R3 |
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{ (x+y, x-y, y ) | x,y are real numbers } |
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{ (x,y,z) | x,y,z are all nonnegative real numbers } |
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{ ( x, -x, 2x ) | x is a real number } |
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{ (1,1,1) } |
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{ (x,y,3) | x,y are real numbers } |
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{ (0,0,0) } |
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{ (x+1, y+1, z+1) | x,y,z are real numbers } |
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{ (x,y,0) | x,y are real numbers } |
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{ (x,y,z) | x + y + z = 1 } |
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Prove: If [P(H)] holds, then all Saccheri quadrilaterals have accute top angles.
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Given a segment, construct its perpendicular bisector.
Given a line an a point, construct the perpendicular to the line through the point.
Given a line an a point not on the line, construct the parallel to the line through the point.
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A company sells washing machines for $340 each. To produce a batch of n washing machines, there is a cost of $249 per washing machine and a fixed or setup cost of $14,600 for the entire batch. Determine a function that gives the profit in terms of the number of washing machines produced. What is the least number of washing machines the company can sell in order to have a profit of $14,000?
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Prove that two quadrilaterals are congruent if a side, angle, side, angle, side of one are equal to the corresponding parts of the other, the five parts in each case being consecutive on the quadrilateral. (can you find a counter example if the quadrilaterals are not convex?)
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A pizza pan is removed at 4:00 pm from an oven whose
temperature is fixed at 450 F into a room that is constant 73 F.
after 5 minutes, the pizza is at 300 F.
a)at what time is the temperature of the pan 125 F?
b) determine the time that needs to elapse before the pans is 180
degree .
c)what do you notice about the temperature as time passes?
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Prove that (1,0, 0), (1,1,1), (1,2,3)) is linearly independent, and its span is R3.
In: Math