Step-by-step explanation:
our equation is x²+16x = -44
- x²+16x= -44
- x² is the first term so weill have in the middle 2*x* a number
- x²+2*x*8 = -44
- the third term is 8² wich is 64 so we will add it in both sides
- x²+2*x*8+64 = -44+64
- (x+8)² = 20
Now that we have completed the perfect square let's solve the equation
- (x+8)² = 20
- x+8 =
or x+8= - - x = -8+ or x = -8-
so the first answer is the correct one
64; 8 +/-
For this equation you would need to combine like terms
Step 1: -2+1= -1
Step 2: -4i+6i= 2i
so your answer to this question would be -1+2i
Answer: Yes the mixed 3 1/4 is a rational number.
Step-by-step explanation:
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
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