Answer:

Step-by-step explanation:
we know that
If the floor of Cara's living room is 10 feet by 14 feet
then
the diameter of the larger circular rug that can fit in Cara's living room is equal to 10 feet
<em>Find the area of the circular rug</em>
The area of the circle is equal to

we have
----> the radius is half the diameter

substitute the values

1 full revolution=360
4seconds=360degrees
how many seconds is 90 degrees
4:360=x:90
4/360=x/90
simpllfiy
1/90=x/90
1=x
answer is 1 second
Answer:
See explanation
Step-by-step explanation:
1. The given function is

The domain values are: x=0, 2, -1, 4, -2
When x=0

When x=2,

When x=-1

When x=4

When x=-2

2. The given function is

When x=3,

Similarly,




Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
Answer:
7
Step-by-step explanation: