Rotate 180°, reflect over the x-axis, reflect over the line y=x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y=x
Answer: The correct option is
(A) Reflect over the y-axis, reflect over the x-axis, rotate 180°.
Step-by-step explanation: Given that the co-ordinates of the vertices of rectangle ABCD are A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1).
We are to select the set of reflections and rotations that would carry rectangle ABCD onto itself.
We see that if a point (x, y) is first reflected across Y-axis, its co-ordinates becomes
(x, y) ⇒ (-x, y).
Now, if the new point is reflected across X-axis, then its co-ordinates becomes
(-x, y) ⇒ (-x, -y)
and finally if we rotate the point by 180 degrees, its co-ordinates becomes
(-x, -y) ⇒ (x, y).
That is, after these three transformations, each of the vertex of rectangle ABCD, that is, A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1) come back to its original position.
Thus, the required set of reflections and rotations would carry rectangle ABCD onto itself is
Reflect over the y-axis, reflect over the x-axis, rotate 180°
Option (A) is CORRECT.
Answer:
A.
Step-by-step explanation:
Reflect in the y-axis.
this takes it to the first quadrant.
Reflect in the x-axis.
To the fourth quadrant
Rotate through through 180 degrees.
Back to its original location.
1380
2862
525,000
1,431,212
The number of beetles after 15 weeks = 1,431,212
The total number of beetles = 500
The rate at which the beetle should grow = 70% per week
Therefore 70% of 500= 70/100 × 500
=35000/100
= 350 per week.
That is every week there would be additional 350 beetles
which is = 500 + 350 = 850 beetles
850/500 = 1.7 times what it was the beginning of the week
Therefore in 15 weeks = 500× 1.7^15
= 500 × 2862.4231
= 1,431,212
Learn more about population here:
Answer:1,431,212
Step-by-step explanation:
took the test
B. 15-1/2x=21
C. 11-2x=17
D.3x-19=-17
Answer: B. 15-1/2x=21
Step-by-step explanation:
Answer:
is 90.7%.
Step-by-step explanation:
First, find the difference between the two prices of a gallon of gas.
Then, divide by the price of the gallon of gas from 1992, and convert to a percent.
The percentage increase of the price of a gallon of gas is 90.7%.