Questions and answers from this day. Play today's quiz to build your streak.
Question 1 · Algebraic identities
Answer: 110. (a + b)² = a² + 2ab + b², so a² + b² = 12² − 2 × 17 = 144 − 34 = 110.
Question 2 · Coordinate geometry
Answer: 13. Distance = √(5² + 12²) = √169 = 13.
Question 3 · Pythagoras theorem
Answer: 87 cm. c² = 60² + 63² = 3600 + 3969 = 7569, so c = 87 cm.
Question 4 · Quadratic equations
Answer: 3. x² − 4x + 3 = (x − 3)(x − 1) = 0, so the roots are 3 and 1. The larger is 3.
Question 5 · Trigonometry
Answer: 1. Use sin 30° = ½, cos 60° = ½, tan 45° = 1, sin 90° = 1 and cos 0° = 1. sin 30° + cos 60° = 1.
A teacher can help you master the topics above. Contacting teachers on TeacherCircle is free.