High-definition (HD) televisions today have a 16 : 9 aspect ratio (width to height). The advertised screen size is equal
2 answers:
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Answer:
x = 1/2
Step-by-step explanation:
The sum of numbers in all rows, columns and diagonals have to be the same.
Notice the diagonals do not have an x so let's sum those numbers to see what the sum for all must be.
-2+(1/2) +3 = (-4+1+6)/2 = 3/2
-5+(1/2)+6 = (-10+1+12)/2 = 3/2
Now we can pick the first row and sum the numbers up knowing that the result should be 3/2, will find x
-2+x-3+6 = 3/2, combine like terms
x+1 = 3/2 , subtract 1 from both sides
x = (3/2)-1, find common denominator and subtract
x = (3-2)/2, combine like terms
x = 1/2
Check or work:
Rows from top to down
-2 +(1/2) -3 +6 = (-4+1-6+12)/2 = 3/2✅
17*(1/2) +(1/2) +(1/2)-8 = (17+1+1-16)/2 = 3/2✅
-5+(9/2) -2(1/2) +3 = (-10+9-2+6)/2 = 3/2✅
Columns from left to right
-2+17(1/2)-5 = (-4+17-10)/2 =3/2✅
(1/2)-3+(1/2)+(9/2)-2(1/2) = (1-6+1+9-2)/2 = 3/2✅
6+(1/2)-8+3 = (12+1-16+6)/2 = 3/2✅
Diagonals
-2+(1/2) +3 = (-4+1+6)/2 = 3/2✅
-5+(1/2)+6 = (-10+1+12)/2 = 3/2✅
Answer:
see attached
Step-by-step explanation:
You can do these yourself fairly easily. Copy the figure and the coordinate axes onto a piece of tracing paper (tissue paper or even facial tissue will work, too), then rotate the copied figure 90° clockwise.
Line up the origin of the axes and make sure the axes you drew line up with the ones on the original figure. For 90° clockwise rotation, what was the +y axis will now align with the +x axis. Copy the rotated figure from the tracing paper back to the graph on your problem page in its new location. (You can cut out the figure, if necessary. Just be sure to make note of the position relative to the axes.)
This sort of physical activity reinforces the thinking you need to do to mentally rotate the figures. It is worth the effort.
