WARM UP Find the length of the tunnel using Law of Cosines.

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Presentation transcript:

WARM UP Find the length of the tunnel using Law of Cosines. Solve the following radical equations. a) b)

WARM UP (H) Find the length of the tunnel using Law of Cosines. Solve the following radical equations. A ladder with its foot on a horizontal flat surface rests against a wall. It makes an angle of 30° with the horizontal. The foot of the ladder is 41 ft from the base of the wall. Find the height of the point where the ladder touches the wall. a) b)

CHECK IN If mythical creatures were real, which one do you wish existed?

7.6 Solving Rational Equations OBJECTIVE: WE CAN SOLVE RATIONAL EQUATIONS.

Hint for solving: A quick way to solve a rational equation is to multiply everything through by the LCD. This will get rid of all the fractions! Beware of extraneous solutions!

Multiply each fraction through by the LCD Example: Solve. LCD: 2x Multiply each fraction through by the LCD Check your solution!

Solve. LCD: ? LCD: (x+1) ? Check your solution! No Solution!

Solve. Factor 1st! LCD: (x+2)(x-2) Check your solutions!

Short Cut! When there is only FRACTIONS on each side of the =, just cross multiply as if you are solving a proportion.

Example: Solve. Check your solutions!

Last Example: Solve. Check your solutions!

Independent Practice 15 minutes

Unit 5 and 6 review You will have 10 minutes to read, review, and study the summary pages for Unit 5 and Unit 6 Now, on the quiz just handed out to you, MARK at least 4 problems that you think are particularly challenging Now, stand up WITHOUT A WRITING UTENSIL and find someone with at least one different problem marked Talk with this person about how you might solve your marked problems Now, return to your seats QUIZ

Exit Ticket Solve the following equations. A bag contains 5 white marbles, 3 black marbles and 2 green marbles. In each draw, a marble is drawn from the bag and not replaced. In three draws, find the probability of obtaining white, black and green in that order. Put the following quadratic function in standard form. Then find the zeros, the vertex, AND the axis of symmetry. a) b)

Exit Ticket (H) Solve the following equations. A bag contains 5 white marbles, 3 black marbles and 2 green marbles. In each draw, a marble is drawn from the bag and not replaced. In three draws, find the probability of obtaining white, black and green in that order. Put the following quadratic function in standard form. Then find the zeros, the vertex, AND the axis of symmetry. a) b)