Answer:
The question says area of a square = 9 cm squared.
And they said if the sides are doubled in length what is the new length
so new length = 9 cm^2 × 9 cm^2
which should give you 81cm^2
therefore your answer should be = C
Answer:
C. AB/XY = AC/XZ
Step-by-step explanation:
Dilation:
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size. The original figure either stretches or shrinks by a certain factor.
In the problem, the dilation is by a factor of 5 and we can see that ABC shrinks to form XYZ.
So, ABC and XYZ are similar triangles which means that the ratio of their corresponding sides will be equal:
AB/XY = AC/XZ = BC/YZ = 5
Answer:
(-2)
Step-by-step explanation:
We have to find the determinant of the given matrix,
det A = (a - 1)(a² + a + 1) - (a + 1)(a² - a + 1)
= a(a² + a + 1) - 1(a²+ a + 1) - a(a² - a + 1) - 1(a² - a + 1)
= a³ + a² + a - a² - a - 1 - a³ + a² - a - a² + a - 1
= (a³ - a³) + (-a² + a² - a² - a²) - 1 - 1
= -2
Therefore, determinant of the given matrix is (-2).
