For the lines with the following equations and , is the point on both lines? Explain your answer both graphically and algebraically.

Prof Bruns MAT 109 OL (alt) Midterm Name

⦁ Find the Domain and Range for .

Dom: Range:

⦁ Simplify

⦁ The total amount paid for a car is . Set up an equation that includes the total amount paid for the car, the original price of the car, , and a tax. Then solve the equation to find the original price of the car before tax .

⦁ (a) What is the exact value of ? [Keep answer in radical form]

(b) If , find two values for angle .

⦁ A waterslide is long . The top of the slide is above the ground. Find the angle of elevation of the waterslide.

⦁ Solve for in terms of if

⦁ In triangle ABC, the lengths of the sides in feet are . Find angle C.

⦁ Find the equation of the line through the points and .

⦁ For the lines with the following equations and , is the point on both lines? Explain your answer both graphically and algebraically.

⦁ In right triangle ABC, angle C = 90 degrees. Angle A = 40 degrees and the length of the leg opposite angle B is 18 feet. Find the length of the hypotenuse to the nearest tenth.

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