Suzie's cousin, Antwon, was impressed with her scale drawing and cost estimate. He wanted her help to figure out a problem. a. Antwon lived in a different state, so he called Suzie and gave her the coordinates to the scale drawing he made for his room. The points were \( A(-4,6), B(6,6), C(6,-10), D(2,-10), E(2,-2) \), and \( F(-4,-2) \). Sketch Antwon's room on the bottom half of the Lesson 3.2 .4B Resource Page. b. Is there a way to find the length of the sides using just the coordinates and without actually plotting the diagram? For example, can you determine th length of the side from point D to point E using the points \( (2,-10) \) and \( (2,-2) \) ? c. Without looking at your graph, use your reasoning from part (b) to find th length of the remaining sides. Then, check your work using your graph.

Dado un cilindro con un radio de 4 cm, ¿cuál debe ser la altura para que el volumen sea \( 64\pi \) cm³?

b) Prove the following by vector method. Measure of the angle between two diagonals of a cube is \( \cos ^{-1} \frac{1}{3} \)

Find the condition at which the line \( l x+m y+n=0 \) touches the circle \( x^{2}+y^{2}+28 x+2 f y+c=0 \) For what value of \( n \), a. the line \( 3 x+4 y+n=0 \) touches the circle \( x^{2}+y^{2}-4 x-6 y-12-02 \)

\( Q(7,10) \). Cari kecerunan bagi persamaan pembahagi dua sama serenjang untuk garis lurus \( P Q \). (TP4) A straight line passes through point \( (P(2,5) \) and point \( Q(7,10) \). Find the gradient of the equation of the perpendicular bisector for the straight line \( \overline{P Q} \) [3 markah / marks \( ] \)

Denise is constructing a square in which two of its vertices are points \( M \) and \( N \). She has already used her straightedge and compass to construct the lines and arcs shown. What should Denise do for her next step? Place the point of the compass on point \( M \) and draw any arc above it. Use a straightedge to draw Place the point of the compass on point \( N \) and draw an arc that intersects width for the opening of the compass. Use a straightedge to draw a horizontal line that contains point \( O \).