Answer:
Option (B)
Step-by-step explanation:
The given question is incomplete; please refer to the attached document for the full details.
In the attached graph,
The parent function is defined as an absolute value function,
f(x) = |x|
When this graph is moved four units to the left, the translation rule becomes,
f(x) → f(x + 4)
Consequently, the new function following this translation is,
g(x) = f(x + 4) = |x + 4|
Now, with the graph shifted down by two units, the translated function becomes,
h(x) = g(x) - 2
h(x) = |x + 4| - 2
When reformulated as an equation, the graph can be represented by
⇒ y = |x + 4| - 2
Thus, Option (B) is the correct answer.
This question reveals an intriguing pattern.
The rule or pattern to follow here is:
For the left side of the number compared to its predecessor: (First digit x Third digit + 1)
For the right side: (Second digit x Fourth digit -1)
For instance, consider 6447. Next, let's examine its previous number, 9876.
Now, 
and
that's how we arrived at 6447
Next, for the third number, 2527, let's look at its previous number, 6447
Now, 
and 
that's how we reached 2527
Following the same reasoning, the missing number should be 534.
This conclusion came from applying the rule of the pattern as:
and
Thus, we derived 534.
For values around 22-23, formulate a function and use these to determine the precise
Answer: Circle C has a radius of 7 cm.
Explanation:
Referring to the illustration below:
Let's denote the radius of circle C as x.
Circle A's radius can be represented as 2x.
Circle B's radius can be expressed as 4x.
The length of side AC in triangle ΔABC becomes x + 2x = 3x.
For side BC of triangle ΔABC, we get 4x + x = 5x.
Similarly, for side AB of triangle ΔABC, it is 4x + 2x = 6x.
Given that the perimeter of triangle ΔABC totals 98 cm.
Remember, the perimeter refers to the total length around the triangle.
Hence, Perimeter = 6x + 5x + 3x = 98 cm.
Thus, 14x = 98.
From this, we find x = 
.
Therefore, x = 7.
This concludes that the radius of circle C is 7 cm.
