## geometry, question 8, grade 9

8) (C) is a circle of center O and radius R, M is a variable point and MNBA is a parm. Plot E the point symmetric of N with respect to B: Prove that AMBE…Read More

8) (C) is a circle of center O and radius R, M is a variable point and MNBA is a parm. Plot E the point symmetric of N with respect to B: Prove that AMBE…Read More

5) In an orthonormal system of axes (x'x) and (y'y), Consider the points E(0,-4), H(-1,1) and the line (d):y=x+2. Plot E and H. Verify that H belongs to (d) then plot (d). (d) cuts (x'x)…Read More

6) The actual age of a father is 50 years old, and that of his son is 28 years old. After a certain number of years x, the age of the father will be equal…Read More

9) Consider the polynomials : Factorize A(x) and B(x). Solve A(x)= B(x). Expand B(x) and Solve B(x)<4x(x+1). let : Find the domain of definition of F(x) then simplify it. Solve F(x)= . Q(x) = ,…Read More

6) The sum of the bases of trapezoid ABCD is 10. a) Find x and y knowing that the bases x and y are proportional to 2/3. b) Using the previous results, Calculate AD. c)…Read More

8) Given x+y=1 and x.y = - 6 Expand and deduce the value of .Read More

14) Given: and . Verify that A is the square of a fraction to be determined. Show that A+B = 1. Compare A+B and C.Read More

4) Given the points A(1,1),B(3,0) and C(1,2) and the line (d): y = 3x-1, Find the equation of the straight line (d') that is the image of line (d) by translation ov vector AB, knowing…Read More

11) Out of 200 students, 10% play baseball, 20% play soccer, 40% play basketball, 5% play both soccer and baseball. What's the number of students who play nothing?Read More

13) , Verify that is an integer. Read More

6) ABC is any triangle, M is the midpoint of [AC], and G is the centroid of triangle ABC. If GM = x+1, and BM = 6, Calculate x. (x>-1)Read More

x,y,7,8,9,10 are the scores of Jamil out of 10 in 6 math quizzes, where x is less than double y by 7. Calculate x and y if his average is 7. What score must Jamil…Read More