A, B & C lie on a straight line. BD = CD.
∠
BDC = 70° and
∠
ADB = 10°.
Work out
x
, explaining each stage of your working in the comment box.

The diagram is not drawn accurately.

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

What is the slope of the line shown below?

Explain how you divide powers with like bases. discuss why the bases have to be the same. how are these rules similar to the rules for multiplying powers with like bases.