if i read the data correctly, the answer should be “spaghetti and pizza are preferred almost equally” because if you add the numbers for each sample for each of the foods, the numbers are almost equal.
Answer:
{- 11, - 1 }
Step-by-step explanation:
Since the coefficient of the x² term is 1 , to complete the square
add (half the coefficient of the x-term )² to both sides
x² + 2(6)x + 36 = - 11 + 36 ← complete the square on the left side
(x + 6)² = 25 ( take the square root of both sides
= ± 
x + 6 = ± 5 ( subtract 6 from both sides )
x = - 6 ± 5
x = - 6 + 5 = - 1 or x = - 6 - 5 = - 11
Answer:
(1, 5)
Step-by-step explanation:
When the center is the origin, the dilation factor multiplies each coordinate:
(2, 10) ⇒ (1/2)(2, 10) = (1, 5)
Answer:
the answer is going to be D. (3,4,5,8,9,3)
If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
