Math EX. (F.4)

Can you help me to solve the following questions

1.Given the quadratic equation(k-2)x^2 - 10x + (2k +1)=0, find the value(s)
of k for each of the following cases.

a. The sum of the roots of the equation is 5
b. The product of the roots of the equation is -1
c. The graph of y = (k-2)x^2 - 10x + (2k + 1) touches the x-axis

2.The perimeter of an isosceles triangle is 28cm. If the length of one side
is 6 cm, find the lengths of the other two sides

3. a) Given that L1: ax + 6y + 3 = 0 and L2: 2x - 3y + 8 = 0 are perpendicular,
find the value of a.
b) If P(b, b - 8)line on L1, find the value of b

4. a) Solve the inequality 4x - 7(x-2)＞3 and represent the solutions
graphically
b) Write down the largest value of x that satisfies the inequality in (a)

5. If the sum of two consecutive even numbers is not greater than 40,
what is the largest possible value of the larger number?