Answer: option d. C (0,3), D (0,5).
Justification:
1) The x - coordinates of the vertices A and B are shown in the diagrama, They are both - 4, so the new vertices C and D must be in a line parallel to y = - 4.
2) The y-coordinates of the vertices A and B are also shown in the diagrama. They are equal to 3 and 5 respectively.
3) We can see that the new points C and D must be over a parallel line to y = - 4 and that their distance to the points A and B has to be the same distance of the point R and S to U and T.
That distance is 4, so the line may be y = - 7 or y = 0.
4) If the line is y = 7 the points C and D would have coordinates (-7,3) and (-7,5), but this points are not among the options.
5) If the line is y = 0 the points C and D would have coordinates (0, 3) and (0,5), which is precisely the points of the option d. That is the answer.
Answer:
B)
Step-by-step explanation:
65 x 2.5 = 162.5
70 x 1.5 = 105
162.5+105=267.5
Answer:
B
Step-by-step explanation:
3x-8+2x+5-4x+8
3x+2x-4x -8+5+8
x + 5
x+5
After I explain the procedure in full detail, you'll be able to generate
your own work. Here it is.
To find the greatest common factor of two numbers:
1). List all of the factors of the first number.
2). List all of the factors of the second number.
3). Scan both lists, and find factors that are on BOTH lists.
These are the COMMON factors. Write them down in a short list.
4). Scan the short list. Find the biggest number on it.
That's the Greatest Common Factor.
OK, I'll go through the first one in your picture . . . 24 and 42 :
1). Factors of 24: <em>1, 2, 3,</em> 4,<em> 6,</em> 8, 12, 24
2). Factors of 42: <em>1, 2, 3, 6,</em> 7, 14, 21, 42
3). Short list: <em>1, 2, 3, 6</em>
4). Biggest number on the short list:<em> <u>6</u> </em>
