Use the given vectors to find \( \mathbf{v} \cdot \mathbf{w} \) and \( \mathbf{v} \cdot \mathbf{v} \). \[ \begin{array}{l}\mathbf{v}=-7 \mathbf{i}-3 \mathbf{j}, \mathbf{w}=-9 \mathbf{i}-5 \mathbf{j} \\ \mathbf{v} \cdot \mathbf{w}=78 \text { (Simplify your answer.) } \\ \mathbf{v} \cdot \mathbf{v}=\square \text { (Simplify your answer.) }\end{array} \text { \$ } \]

Find the standard form of the equation of the ellipse satisfying the given conditions. Foci: \( (-2,0),(2,0) ; y \)-intercepts: -9 and 9 Type the standard form of the equation. (Type an equation. Simplify your answer.)

If a circle has a diameter of 10 cm, what is its circumference using \( \pi \\)?

What is anoher way to name \( \angle D E F \) ? select each correct answer. - \( \angle E D F \) - \( \angle F \) - \( \angle D F E \) - \( \angle E \) - \( \angle D \) - \( \angle F E D \)

Which of the following describes supplementary angles? A. Angles that areadjacent. B. Two or more angles whose sum equals 360 degrees. C. Two angles whose sumequals 180 degrees. D. Angles whose measurements equal 90 degrees.

Estimate the measure of this angle within \( 10^{\circ} \).