Line g is dilated by a scale factor of 1/2 from the origin to create line g'. Where are points E' and F' located after dilation and how are lines g and g' related? a.) The locations of E’ and F’ are E’ (-8, 0) and F’ (0, 4), and lines g and g’ intersect at point F.
b.) The locations of E’ and F’ are E’ (-4, 0) and F’ (0, 2), and lines g and g’ are the same line.
c.) The locations of E’ and F’ are E’ (-2, 0) and F’ (0, 1), and lines g and g’ are parallel
d.) The locations of E’ and F’ are E’ (-1, 0) and F’ (0, 0), and lines g and g’ are not related

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

choice b is correct

step-by-step explanation:

we have been given the following system of linear inequalities;

we are required to graphically determine the solution to these system of inequalities. using a graphing tool, the solution is as shown in the attachment below;

step-by-step explanation:

10.50 + taxes which added up to 11.50

part d

step-by-step explanation:

theresa talked her parents into getting sd cards for her phone and her brother’s phone. inserting an sd card into a phone gives it more storage. they both get 8-gigabyte sd cards. how many bits of storage come with each sd card? type your answer in both scientific and standard notation.