Which pair of numbers has a product of -24 and a sum of 10?
2 answers:
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Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k =
∴ k = -2
The constant of variation is k = -2
For this case we have the following ordered pairs:
(6, 9)
(4, 6)
The scale factor can be found in two different ways:
Therefore, the scale factor is given by:
Answer:
The scale factor of the dilation is 1.5
(6, 9)
(4, 6)
The scale factor can be found in two different ways:
Therefore, the scale factor is given by:
Answer:
The scale factor of the dilation is 1.5