Answer:
x = - 4
Step-by-step explanation:
Given
x + 4 = 
x
Multiply through by 3 to clear the fractions
5x + 12 = 2x ( subtract 2x from both sides )
3x + 12 = 0 ( subtract 12 from both sides )
3x = - 12 ( divide both sides by 3 )
x = - 4
Answer:
2nd option
Step-by-step explanation:
The shaded area = outside area - inner area
= x² - (x - 6)² ← expand using FOIL
= x² - (x² - 12x + 36) ← distribute parenthesis by - 1
= x² - x² + 12x - 36 ← collect like terms
= 12x - 36
Answer:
Angle DCF is equal to 125 degrees.
Step-by-step explanation:
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
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