Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
infinite solutions
Step-by-step explanation:
Simplify 3x-x-53x−x−5 to 2x-52x−5.
2x-5=2(x+2)-92x−5=2(x+2)−9
2 Expand.
2x-5=2x+4-92x−5=2x+4−9
3 Simplify 2x+4-92x+4−9 to 2x-52x−5.
2x-5=2x-52x−5=2x−5
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Answer:
3
Step-by-step explanation:
Integers: 0, 1, 2, 3, 4
0 + 1 + 2 + 3 + 4 = 10
Huh like omg how can y’all understand that like my math teacher don’t teach us that we got easy stuff like we don’t have hard stuff like that is just 2 much
Answer:
A 5040
B 35
Step-by-step explanation:
A There are 7 ways to put the first picture. There are 6 pictures left and 6 ways to put the 2nd picture. There are now 5 pictures left and 5 ways to put the 3rd picture. And so on
7 * 6*5*4*3*2*1
5040
B If we can only have 3 pictures and order does not matter
7 choices for the first * 6 *5
But
We have to take into account order
The first picture can go into 3 slots, the second into 2 and the third 1 so divide by 6
(7*6*5)/ (3*2*1)
35