Upward bound math and science
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Upward Bound Math and Science. PRECALCULUS. Slope of Line. The Slope of a Line is give by the formula Find the slope of the line (-1,4) and (2,-2). Positive Slopes go uphill. Negative slopes go downhill. Equation of Line.

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Upward Bound Math and Science

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Upward bound math and science

Upward Bound Math and Science

PRECALCULUS


Slope of line

Slope of Line

  • The Slope of a Line is give by the formula

  • Find the slope of the line (-1,4) and (2,-2)


Positive slopes go uphill

Positive Slopes go uphill


Negative slopes go downhill

Negative slopes go downhill


Equation of line

Equation of Line

  • The equation of line when one point on the line and slope is given by the formula

    y-y1=m(x-x1)

    Where

    (x1,y1) are the point and m is the slope


Problem

Problem

  • Find the equation of the line passing through the point (4,-3) with slope of -3


Distance between two points

Distance between two points

  • The distance between two points on the coordinate plane is given by the formula


Problem1

Problem

  • Find the distance between ( -1,23) and (23,-1)


Angles radians

Angles ( Radians)


Angles degrees

Angles ( Degrees)


Unit circle

Unit Circle


Trignometry

Trignometry


Trigonometry identities

Trigonometry identities


Problem2

Problem

  • Solve Cos2q+Cosq = 0

  • Hint : Cos2q = 2Cos2q-1


Problems

Problems

  • A ladder leans against a building.  The foot of the ladder is 6 feet from the building.  The ladder reaches a height of 14 feet on the building.

  • Find length of the ladder towards the nearest foot

  • Find the angle between the ladder and building


Problems1

Problems

  • From a point on the ground 25 feet from the foot of a tree, the angle of elevation of the top of the tree is 32º.  Find to the nearest foot, the height of the tree.


Problems2

Problems

  • The figure shown on the left is a trapezoid.  Using the information given, find the area of this trapezoid to the nearest square unit.


Problems3

Problems

  • In the figure on the left, ABCD is a rectangle whose perimeter is 30.   The length of BE is 12.  Find to the nearest degree, the measure of angle E. 


Problems4

Problems

  • Find x


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