N this unit, you have been exploring how authors use informational texts to communicate with audiences. You've also seen how authors communicate their point of view, tone, and purpose in a text. When a writer composes a text, that writer takes time and thought to shape the text so the elements work in harmony. That is, the point of view, tone, and purpose all contribute to a unified message. But what about more informal writing and conversations? They usually aren’t carefully planned out like an essay. Think of some examples of informal writing or a conversation you can recall well. Describe how clearly they express a unified point of view, tone, and purpose. Compare them to at least one formal informational text. Discuss why you think the two modes of communicating are different or the same.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12