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₎
The simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
<h3>What is an integer exponent?</h3>
In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The number expression is:
= (2⁴)⁻¹
Using the properties of the integer exponent:
= 1/2⁴
The above number is one over two raised to the fourth power
Thus, the simplification form of the number expression (2⁴)⁻¹ is 1/2⁴ option (B) one over two raised to the fourth power is correct.
Learn more about the integer exponent here:
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The number of hours he worked in all (written in fraction form) is 
From the question,
Mario worked from 8:25 to 12:45 yesterday.
From 8:25 to 12:45 gives 4 hours 20 minutes
Also, from the question,
Today he will work from 11:20 to 3:10
From 11:20 to 3:10 gives 3 hours 50 minutes
To determine the number of hours he work in all, we will add the time spent working on the previous day to that of the current day. That is,
4 hours 20 minutes + 3 hours 50 minutes = 8 hours 10 minutes
Now, to put the answer in fraction form, we will convert 10 minutes to hours
NOTE: 60 minutes = 1 hour
∴ 10 minutes = 
= 
∴ 8 hours 10 minutes =
Hence, the number of hours he worked in all (written in fraction form) is
Learn more here: brainly.com/question/3164396
foster can make 42 1/4-pound turkey sandwiches
explanation: 10.5 divided by 1/4 is 42
Answer:
one plus one is two the answer is 2
