Square RSTU is translated to form R'S'T'U', which has vertices \( R^{\prime}(-8,1), S^{\prime}(-4,1), T^{\prime}(-4,-3) \), and \( U^{\prime}(-8,-3) \). If point \( S \) has coordinates of \( (3,-5) \), which point lies on a side of the pre-image, square RSTU? \( (-5,-3) \) \( (3,-3) \) \( (-1,-6) \) \( (4,-9) \) (

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, \( n \sqrt{m} \).

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.

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

Define la diferencia entre un arco mayor y un arco menor en un círculo.

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 \( y=37 \).