So, point S seems to be the top left corner of a 4 sided trapezoid. If you graph this then it may be easier to imagine. Dilate means to get bigger, if you have trouble remembering this, think about how the pupil dilates when you’re in a dark room. (It gets bigger). So this shape is dilated about the origin which means that points that have 0’s in them now (for example (0,0) or (5,0) ) are only going to change for the number that isn’t a 0. So (0,0) dilated by any factor is still (0,0). But if a point was at (0,5) and dilated by a factor of 2, the new point would be (0,10). This is only the case if the shape is dilated around the origin. (Origin is at point (0,0) ). So point S we can see (0,14) has a 0 in it so we are only multiplying the 14 by the scale factor of 5. So 14 * 5 is 70. So the new location of S’ would be (0,70)
Combine like terms
-x = 4 + 6 - 3x
-x = 10 - 3x
Isolate the x, add 3x to both sides
-x (+3x) = 10 - 3x (+3x)
-x + 3x = 10
Simplify. Combine like terms
-x + 3x = 10
2x = 10
Isolate the x, divide 2 from both sides
2x/2 = 10/2
x = 10/2
x = 5
x = 5, or A is your answer
hope this helps
It would be 7x7 + 2x2 = 53
Answer:
deal with the rectangle first A = l X w
4 X 12 = 48 squared cm
semi circle
Area of a circle πr^2
12/2 = 6, radius = 6
π6^2 = 113.097335
113.097335/2 = 56.5486677
56.5 + 48 = 104.5 squared cm
