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:
40/3, 172/3, respectively
Step-by-step explanation:
x + 9 = 2y
2x = 2y + 2
x + 9 = 2(2x - 2)
4x - 4 = x + 9
3x - 13 = 0
x = 13/3
y = 40/6
RT = 13/3 + 9 = 40/3
QS = 160/3 + 4 = 172/3
First you need to find the middle number, wich is 75. Since there is no $75, I would go with $80.
Answer:
1, 2, 3, 4, 6, 12
Step-by-step explanation:
All these numbers are common factors of 12 and 24 because you can divide each one by all of the factors
ex. 12/3 = 4
24/3 = 8
if you don't get a decimal answer, then it is a factor of these numbers
Answer: 15h^2 + 26h -21
Step-by-step explanation:
Use the foil method. Multiply in this order
First, 5h*3h= 15h^2
outer, 5h*7 = 35h
inner, -3*3h= -9h
last, -3*7= -21
Now add them all together
15h^2 + 35h + -9h + -21
Combine like terms
15h^2 + 26h -21
