Help? Solve the system of equations. y = 3x y = x2 + 3x – 16 solutions: ( );( )
1 answer:
Answer:
(- 4, - 12 ) , (4, 12 )
Step-by-step explanation:
Given the 2 equations
y = 3x → (1)
y = x² + 3x - 16 → (2)
Substitute y = x² + 3x - 16 into (1)
x² + 3x - 16 = 3x ( subtract 3x from both sides )
x² - 16 = 0 ( add 16 to both sides )
x² = 16 ( take the square root of both sides )
x = ± = ± 4
Substitute these values into (1) for corresponding values of y
x = - 4 : y = 3 × - 4 = - 12 ⇒ (- 4, - 12 )
x = 4 : y = 3 × 4 = 12 ⇒ (4, 12 )
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Answer:
(4,-2)
Step-by-step explanation:
If we are reflecting a point across the y-axis, that point must be on the same horizontal line that the pre-mage is was, this means the y coordinate must remain the same. Now we want the points on both sides of the y-axis to have the same distance. x and -x have the same distance from 0. This means you will need to take the opposite of x.
So a point (x,y) being reflected over the y-axis will give (-x,y).
( x , y)->(-x,y) means we have:
(-4,-2 )->(4,-2)
You can graph this to confirm it looks like a reflection through the y-axis.
