Answer:
x = 4 ± 
Step-by-step explanation:
Given
(x - 12)(x + 4) = 9 ← expand the left side using FOIL
x² - 8x - 48 = 9 ( ad 48 to both sides )
x² - 8x = 57
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 57 + 16
(x - 4)² = 73 ( take the square root of both sides )
x - 4 = ±
( add 4 to both sides )
x = 4 ± 
Answer:
y = -3x/2 + 5/2
Step-by-step explanation:
Well, basically what you do is modify it so that y is on one side.
3x+2y = 5
2y = 5-3x
y = (5-3x)/2
y = 5/2 -3x/2
So, the answer is the second option.
3x - 5 = -26
<u>step 1:</u>
subtract +5 on each side because you have to do the inverse operation
<u>step 2:</u>
3x= -21
<u>step 3:</u>
now divide 3 on each side
the answer is -7
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Hope this helped!
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<em>TheOneAndOnlyLara~</em>
Answer:
4in : 1ft
Step-by-step explanation:
We start with:
3/4 in = 3/16 ft
This means that the length of 3/4 inches is the same as the length of 3/16 feet.
To reduce this, we can start by dividing by 3 in both sides of the equation:
(3/4)/3 in = (3/16)/3 ft
1/4 in = 1/16 ft
Now we can multiply both sides by 16:
16/4 in = 16/16ft
4 in = 1ft
now we reduced the ratio to:
4in : 1ft