Answer:
(-8, 3)
Step-by-step explanation:
Answer:
Translated 5 units right
g(x) = 2x - 4
Step-by-step explanation:
The original equation had a y-int of 6, but g(x) has a y-int of -4. Moving the line 5 units to the right will move the y-int down 10 units due to the positive slope of 2, so the translation is 5 units right.
The line shown still has a slope of 2 and a y-intercept of -4, so using the equation y = mx + b, g(x) = 2x - 4.
The 6 angles with vertex P are:
- Angle APB
- Angle APC
- Angle APD
- Angle BPC
- Angle BPD
- Angle CPD
The letter P must be in the middle since this location is the vertex. Something like angle BPA is the same as angle APB. We can swap the order of the outer letters without any change to the angle itself. Effectively, this means each angle has two possible names.
The constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
<h3>Variation</h3>
From the question, we are to determine the constant of proportionality
The given equation is
k = x ÷ y
From the given information,
When x = 1, y = 3
∴ k = 1 ÷ 3
k = 1/3
Thus, the constant of proportionality is 1/3
Now, we will determine the values of y for the values x = 3, x = 4, and x = 5
Since
k = x ÷ y
Then,
y = x ÷ k
When x = 3
y = 3 ÷ 1/3
y = 3 × 3
y = 9
When x = 4
y = 4 ÷ 1/3
y = 4 × 3
y = 12
When x = 5
y = 5 ÷ 1/3
y = 5 × 3
y = 15
Hence, the constant of proportionality is 1/3
and three more values are
x 1 2 3 4 5
y 3 6 9 12 15
Learn more on Variation here: brainly.com/question/19641181
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