Find all solutions to the equation $x^2 - 8x = -16$.
Answer:
x = 4
Step-by-step explanation:
x^2 - 8x = -16
Add 16 to both sides.
x^2 8x + 16 = 0
This may be the square of a binomial.
x^2 is the square of x
16 is the square of 4 and -4.
Let's check the middle term:
2ab = 2(x)(-4) = -8x
Yes, it is the square of a binomial.
x^2 - 8x + 16 = 0
(x - 4)^2 = 0
x - 4 = 0 or x - 4 = 0
x = 4 or x = 4
Answer: x = 4
10 times as much as 72.67
Answer:
726.7 hope this helps
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Answer: 2/5 liters
Step-by-step explanation: This is because you need to add 1/10 and 3/10. The answer is 4/10, which can be simplified to 2/5.
A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For that purpose, she assigned each student a number. Then she rolled two dice numbered from 1 to 6 three times and selected the student whose number was repeated most often.
Which of the following best describes the method used by the principal?
It's an unfair method because each student will not post the same outcomes.
It's a fair method because each result is an equally likely possible outcome.
It's a fair method because it's a limited number of students.
It's an unfair method because two or more students could get the same results.
Answer: It's an unfair method because two or more students could get the same results./ D
Step-by-step explanation: hope this helps
Answer:
B. It's a fair method because each result is an equally likely possible outcome.
Step-by-step-explanation :
According to the question , there are a total of 6 students to be selected by the principal.
So, the principal chose to roll two dice numbered 1, 2, 3, 4, 5, 6 for the selected students and choose the one whose number is most repeated.
Since we have sis sides on a dice , 2 dice [tex]= 6\times6=36[/tex]
The probability that a student will choose one number :[tex]\frac{1}{36}[/tex]
Thus, the selection of each student is given by the number
[tex]\frac{1}{36}[/tex]
So,each result is an equally likely possible outcome.
So, the principal choose a fair method.
Determine whether the lines are parallel, perpendicular, or neither. Justify your answer. y = 2x - 8
Y = 1/2x + 6
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Answer:
perpendicular
Step-by-step explanation:
it is perpendicular because you flipped and negative the slope. if it was parallel the slope would be the same with no negative