Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
Answer:
V=3888 in³
Step-by-step explanation:
V=πr^2h
V=π x 7.5^2 x 22
V=3888 in³
Remember that you must change this number so that it is between 1 and 10, and then multiply it by a power of 10.
So first, you have to move the decimal point over 2 places to the right.
Since you are moving to the right, the exponent on ten will be negative; since you moved 2 decimal places, you know the exponent will be -2.
The answer is 6.3 x 10^-2.
Hope this helps!
Answer:
-x³ + 5y + 3
Step-by-step explanation:
It helps to rewrite the given polynomial according to its degree (exponent), in <u>descending</u> order. Also, for variables without a coefficient, it helps to include "1" with it to make it less confusing when combining like terms.
- x³ + 3y + ( 1 )y + ( 1 )y + 5 + 2 - 4
One way to simplify a polynomial is to combine the like terms if there are any. Two or more terms in a polynomial are like terms if they have the same variable(s) with the same exponent.
- x³ is the only term with an exponent of 3, so we wouldn't have to combine it with other terms. We need to combine the terms with the variable "y," as they have the same degree of 1.
- x³ + 5y + 5 + 2 - 4
Lastly, combine the constants (5 + 2 - 4):
- x³ + 5y + 3
Please mark my answers as the Brainliest if you find my explanations helpful :)
