A square is cut into three rectangles X, Y and Z. 10 cm
х
Not to scale
Rectangle X has length 10 cm.
Rectangle Y has length ncm and width 5 cm.
Z
5 cm
a) (i) Write down an algebraic expression for the width of rectangle X.
cm [1]
(ii) Write down an algebraic expression for the area of rectangle Y.
cm (1
b) Given that the three rectangles have the same area,
work out the value of n.
+
[3]

The graph of y = ax^2 + bx + c is a parabola that opens up and has a vertex at (0, 5). what is the solution set of the related equation 0 = ax%2 + bx + c?

Answer asap! show all work! find the number of complex roots, the possible number of real roots and the possible rational roots of the polynomial function. then, solve for all roots. x^3 + 2x^2 + 3x + 6 = 0

Grace is standing 18 feet from a lighthouse and kelly is standing 10 feet from grace. the angle that grace looks up to see the top of the lighthouse is 45°. the angle that kelly looks up to see the top of the lighthouse is y°. find the height, h, of the lighthouse. find the angle, rounded to the nearest tenth of a degree, in which kelly looks up to the top of the lighthouse. to the nearest tenth of a degree, find the value of x° . in two or more sentences, explain your calculations