To determine the scale factor that should be used in order to correct the size of the post card, we simply have to divide the original length of the picture which is 4.5 inches by the space available, 1.8 inches. This gives an answer of,
scale factor = 4.5 inches / 1.8 inches = 2.5
Ok, you're dealing with a 1 dimensional number line.
To find the distance between these two points what you want to do is go from -3428 to 0, then from 0 to 286.
The distance between -3428 and 0 is 3428. The distance from 0 to 286 is 286.
Add up both these differences:
3428 + 286 = 3714
So the answer is in fact D, 3714.
Answer:
AB
Step-by-step explanation:
The diameter is the line that goes from one side of the circle to the other passing through the center
The diameter is AB
It could also be named BA
Answer:
Step-by-step explanation:
The triangle would end up back where it started. It is hard to explain without a graph. If you have graph paper, you might want to try drawing this out. Say that the original points are at A (1,2) B (2,0) and C(0,0). Now, when we reflect the points over the x axis, they will be the same distance below the x that the points original were about the x axis. Since A was 2 units above the axis, it will now be 2 units below at (1, -2). Points B and C will stay on the x axis and will remain in place at B(2.0) and C(0,0). Since these points are on the line, they were not above the x axis, so they will now not be below the x axis.
Now, we are going to reflect the triangle over the y axis. Since C (0,0) is already on the y axis, it will not move. It will remain there. Since B(2,1) is two units to the right of the y axis, when we flip it, it will now be 2 units to the left of the y axis B (-2,0). Point C will move one unit to the left of the y axis to become (-1,2).
The last thing left it to rotate this final triangle 180 degrees. Since a circle is 360 degrees and 180 is half of a circle, it does not matter if we rotate clockwise or counter-clockwise. If you could trace our new triangle and put a plus sign at the origin (0,0). You would put your pencil on the origin and rotate the two turns at the plus sign. This would put your triangle right back to the beginning. So the original value of B would be the same. In this case C ((2,0)
Answer:
- A. X=-12
- B. X=102
- C. X=44
- D. X=15
Step-by-step explanation:
Isolate the term of x from one side of the equation.
<h3><u>Part A. x-9=-21</u></h3>
<u>First, add by 9 from both sides.</u>
x-9+9=-21+9
<u>Solve.</u>
-21+9=-12
<u>X=-12</u>
<h3><u>Part B. 10+x=112</u></h3>
<u>Switch sides.</u>
x+10=112
<u>Subtract by 10 from both sides.</u>
x+10-10=112-10
<u>Solve.</u>
112-10=102
<u>X=102</u>
<h3><u>Part C. 14=x-30</u></h3>
<u>Switch sides.</u>
x-30=14
<u>Add by 30 from both sides.</u>
x-30+30=14+30
<u>Solve.</u>
<u>x=44</u>
<h3><u>Part D. 12-x=3</u></h3>
<u>Switch sides.</u>
x-12=3
<u>Add by 12 from both sides.</u>
x-12+12=3+12
<u>Solve.</u>
<u />
<u>Add the numbers from left to right.</u>
3+12=15
<u>x=15</u>
- <u>Therefore, the correct answer is part A: x=-12, part B: x=102, part C: x=44, and part D: x=15.</u>
I hope this helps you! Let me know if my answer is wrong or not.
