25 On donne les points \( A(2,1) \) et \( \mathrm{B}(6,4) \). Déterminer analytiquement dans chaque cas l'ensemble des points \( M(x, y) \) tels que : a) \( \overrightarrow{M A \cdot M B}=0 \) b) \( M A^{2}-2 M B^{2}=64 \). c) \( \frac{M A}{M B}=3 \)

Find the center and radius of the circle represented by the equation below. \[ (x-4)^{2}+(y+9)^{2}=289 \] Answer Attempt 1 out of 5 Center: Radius:

Directions: Determine whether a triangle with sides of the given lengths is a right triangle. Justify your answer and show all wor receive full credit. 14.60 feet, 80 feet, 100 feet

lengths is a right triangle. Justify your answe receive full credit. 14.60 feet, 80 feet, 100 feet

Given \( \mathbf{v}=-\mathbf{i}+\mathbf{j} \) and \( \mathbf{w}=\mathbf{i}+\mathbf{j} \) (a) find the dot product \( \mathbf{v} \cdot \mathbf{w} \); (b) find the angle between \( \mathbf{v} \) and \( \mathbf{w} \); (c) state whether the vectors are parallel, orthogonal, or neither. (a) \( \mathbf{v} \cdot \mathbf{w}=\square \)

Determina la pendiente de la línea que pasa por los puntos \( (-1, -1) \) y \( (2, 5) \).