Answer:
a
Step-by-step explanation:
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₎
It is not a function as it does not pass the vertical line test and as each x value is paired with more than one y value.
Answer:
x²-5x+6
Step-by-step explanation:
The question is to find product in : x(x-2)+3(2-x)-----------(a)
Make terms in brackets same by introducing a negative sign as;
Collect like terms as : x(x-2) - 3 (x-2)------------ (b)
Note that expression (a) is similar to (b)
Factorize equation (b) as : (x-3)(x-2)
Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6
Collect like terms as: x²-5x+6
Final expression : x²-5x+6
Testing with x=5 in original expression
x(x-2)+3(2-x)
5(5-2)+3(2-5)
25-10+6-15
25+6-10-15
31-10-15=6
Using the final expression;
x²-5x+6
5²-5(5)+6
25-25+6
=6
