Answer:
274
Step-by-step explanation:
(52 + 4) * 5 - 2 + (-4)
56 * 5 - 2 + (-4)
56 * 5 - 2 - 4
280 - 2 - 4
278 - 4
274
3h + 7 next time do it you self smh
The distace between the center of dilation and point a is diven by:

The distance between the center of dilation and point a' is given by:

It can be seen that the distance from the center of dilation to the image is 1/4 times the distance from the centre of dilation to the preimage.
Therefore, the scale factor is 1/4.
Due to <em>length</em> restrictions, we kindly invite to check the explanation of this question to understand the derivation of the <em>polynomic</em> expressions.
<h3>How to determine a family of cubic functions</h3>
<em>Cubic</em> functions are polynomials of grade 3. In this case, we have pairs of <em>cubic</em> functions of the following form:
y = (x - h)³ + k (1)
y = - (x - h)³ + k (2)
a) Where (h, k) are the coordinates of the vertex of each <em>cubic</em> function. There is a translation of (x, y) = (3, 1) between each two <em>consecutive</em> pairs of <em>cubic</em> functions. Hence, we have the following fourteen cubic functions:
- y = (x + 9)³ - 3
- y = - (x + 9)³ - 3
- y = (x + 6)³ - 2
- y = - (x + 6)³ - 2
- y = (x + 3)³ - 1
- y = - (x + 3)³ - 1
- y = x³
- y = - x³
- y = (x - 3)³ + 1
- y = - (x - 3)³ + 1
- y = (x - 6)³ + 2
- y = - (x - 6)³ + 2
- y = (x - 9)³ + 3
- y = - (x - 9)³ + 3
b) Another family of functions with a similar pattern is shown below:
- y = (x + 9)² - 3
- y = - (x + 9)² - 3
- y = (x + 6)² - 2
- y = - (x + 6)² - 2
- y = (x + 3)² - 1
- y = - (x + 3)² - 1
- y = x²
- y = - x²
- y = (x - 3)² + 1
- y = - (x - 3)² + 1
- y = (x - 6)² + 2
- y = - (x - 6)² + 2
- y = (x - 9)² + 3
- y = - (x - 9)² + 3
To learn more on cubic functions: brainly.com/question/25732149
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Problem 1
1 ft = 12 inches
2 ft = 24 inches (multiply both sides by 2)
Multiply by 1/3 to get (1/3)*24 = 24/3 = 8
<h3>Answer: 8 inches</h3>
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Problem 2
1 yard = 3 feet
3 yards = 9 feet (multiply both sides by 3)
1 ft = 12 inches
9 ft = 108 inches (multiply both sides by 9)
so overall, 3 yards = 108 inches
Multiply this by 1/6
(1/6)*(108 inches) = 108/6 = 18 inches
<h3>Answer: 18 inches</h3>
note: 18 inches = 12 inches + 6 inches = 1 ft, 6 inches = 1.5 ft