Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...
x^2+6x+8=0 move constant to other side, subtract 8 from both sides
x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9
x^2+6x+9=1 now the left side is a perfect square of the form
(x+3)^2=1 take the square root of both sides
x+3=±√1 subtract 3 from both sides
x=-3±√1
x=-3±1
x=-4 and -2
Since the zeros occur when x=-4 and -2 the factors of the equation are:
(x+2)(x+4)
Answer:
19.2
Step-by-step explanation:
Add 12 squared to 15 squared(144+225)
Square root the answer(
)
Round to the nearest tenth(19.209)
The enlarged length is (3/2)*10 ft = 15 ft.
The enlarged width is (3/2)*4 ft = 6 ft.
The dimensions of the enlarged poster are ...
<span>6 ft by 15 ft</span>
The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.
<h3>How to interpret the equation?</h3>
The equation of the line of best fit is given as:
y = 9.5x
Divide both sides by x
9.5 = y/x
From the question, we have:
- x ⇒ number of miles run
- y ⇒ time
This means that:
9.5 = number of miles run/time
Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.
Read more about scatter plots at:
brainly.com/question/6592115
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