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viktelen [127]
3 years ago
11

Can someone please explain how to do this.

Mathematics
1 answer:
lutik1710 [3]3 years ago
4 0
Set the to equal:

x^2 - 4x+4 = 2x-4
 solve for X

subtract 2x from each side:
x^2 -6x + 4 = -4

subtract 4 from each side:

x^2 -6x = -8

add 8 to both sides:

x^2 -6x +8 = 0

factor the polynomial:

x = 4 and x = 2

using the line equation replace x with 2 and 4 and solve for y

y = 2(2) - 4 = 0
y = 2(4)-4 = 4

so the 2 points the line  crosses the curve is (2,0) and (4,4)

using those 2 points you can calculate the length:
 distance = sqrt((x2-x1)^2 +(y2-y1)^2

distance = sqrt( (4-2)^2 + (4-0)^2)

distance = sqrt (2^2 + 4^2)
 distance = sqrt (4+16)
= sqrt 20 
= 2 sqrt(5)  EXACT LENGTH


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3 0
3 years ago
Ross has to fill up a 300 gallon tank. There are already 75
stepan [7]

Answer: He needs 9 hours  to finish the task.

Step-by-step explanation:

Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).

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Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :

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5 0
3 years ago
How to solve 9x^2+9x+2
Oksana_A [137]

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Step-by-step explanation:

7 0
3 years ago
I need help with this rq
Vesnalui [34]

Answer:

228.4

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7 0
2 years ago
Read 2 more answers
Which sample fairly represents the population? Check all that apply. measuring the heights of every fiftieth person on the schoo
solniwko [45]
Option 1:

<span>Measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school
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Comment: this might not be a good idea for fairness as we only wish to determine average height of the boys. Taking a group of 50 people randomly, might not give us the same number of boys every time.

Option 2: 

<span>Calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment 

Comment: The context doesn't seem to need a sampling. The number of players in a soccer team is considerably small. We can find exact data by asking in person.

Option 3:
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Comment: To get a more accurate result and fairer sampling, the period of observing could have been longer, for example, observing for 12 hours on that day, or an alternative is to observe at 5 pm for 7 days in a row. It could happen that no one walking down the Main street precisely at 5 pm wears glasses, or it could happen the other way around.

Option 4: 

<span>Sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch.

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Answer: Option 4</span>
5 0
3 years ago
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