Answer
Explanation
Translations move the parent function toward the left, right, downwards or upwards.
f(x) = 2 |x|
This stretches the function by a factor of 2, hence, it is not a translation.
f(x) = |x + 6|
This translates the parent absolut value functio
Answer:
the angle between their paths is <em>100.8°</em>
Step-by-step explanation:
From the given information, you can construct a triangle, just like the one in the figure.
We will use the <em>Cosine Rule</em> which is:
c² = b² + a² - 2 b c cos(θ)
where
- c = 16 miles
- b = 8 miles
- a = 12 miles
Therefore,
2 b c cos(θ) = b² + a² - c²
cos(θ) = (b² + a² - c²) / 2 b c
θ = cos⁻¹( (b² + a² - c²) / (2 b c) )
θ = cos⁻¹( (8² + 12² - 16²) / 2(8)(16) )
<em>θ = 100.8°</em>
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Therefore, the angle between their paths is <em>100.8°</em>
Answer:
True
Step-by-step explanation:
We need to verify whether 15 and 20 are the correct solution to the rule of "The difference between the 2 number is 5 and the number are in the ratio 3 : 4". Let's see,
<u>First rule</u> → The difference between the 2 numbers is 5
20 - 15 = 5 ⇒ Correct
<u>Second rule</u> → The numbers are in the ratio 3 : 4
15 : 20 ( ÷ 5 to both ratio's ) 3 : 4 ⇒ Correct
The value of the 2's are 200,000;20,000;2,000;200;20;2