23) The farmer in the previous problem has a neighber who has a field 325 ft by 420 ft . His neighbor wants to increase the size of his field by \( 20 \% \) by cultivating a band of uniform width around the outside of his lot. How wide a band should his neighbor cultivate?

WJEC June 2017 Q6 The coordinates of the points \( F \) and \( G \) are \( (8,20) \) and \( (-4,10) \) respectively. (a) Calculate the length of the line FG. Express your answer as a surd in its simplest form, \( n \sqrt{m} \).

Se sabe que el foco de una parábola se encuentra en el punto ( \( 57 ; 15 \) ) y que el vértice de la misma se encuentra en el punto ( \( 21 ; 15 \) ). Determinar la ecuación que representa la parábola y en base a ella calcular el valor de la coordenada " \( x \) " de un punto de la curva del que se sabe que su coordenada \( y=37 \).

The cylindrical sleeve shown above was made according to all the specifications on its drawing. However, it is found to be off- center. What type of geometric tolerance might this part fall outside of?Concentricity Cylindricity Straightness Limit Angularity

Find the equation of the straight line perpendicular to FG that passes through the mid point of \( F G \). Express your answer in the form \( a x+b y+c=0 \), where \( a, b \) and \( c \) are integers. Give your answer in its simplest form.

\[ g: \vec{x}=\left(\begin{array}{l}3 \\ 1 \\ 4\end{array}\right)+t\left(\begin{array}{c}2 \\ -7 \\ 5\end{array}\right) \quad h: \vec{x}=\left(\begin{array}{c}5 \\ -6 \\ 9\end{array}\right)+k\left(\begin{array}{l}1 \\ 1 \\ 1\end{array}\right) \] (1) Zeigen Sie, das die Geraden sich schneiden. (2) Geben Sie den Schnittpunkt an. (3) Prüfen Sie, ob sie senkrecht aufeinander stehen. b) Formulieren Sie in mathematischer Schreibweise mithilfe des