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Alexxandr [17]
3 years ago
11

If using the method of completing the square to solve the quadratic equation x^2-4x+10=0,which number would have to be added to

“complete the square”?
Mathematics
1 answer:
chubhunter [2.5K]3 years ago
5 0

Answer:

4

Step-by-step explanation:

Given

x² - 4x + 10 = 0

subtract 10 from both sides

x² - 4x = - 10

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = - 10 + 4

(x - 2)² = - 6

To complete the square add 4

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one light flashes every 2 minutes and another flashes every 7 minutes. If both lights flash together at 1pm, what is the first t
vovangra [49]
Light A flashes every 2 minutes while light B flashes every 7. The goal is to figure out when both lights flash at the same time and then figure out the other part later. You have to find the common multiples of 7 and 2. Meaning that you have to find out which number can they both be multiplied into. In this case, it is 14 because 7 can be multiplied by 2 to get 14 and 2 can be multiplied by 7. So if every 14 minutes they flash together at the same time, now you need to find out what time AFTER 3 will they both flash. You know that they both flashed at 1:00 so they will flash again at 1:14 and 1:28 and so on, but you need to find out when is the soonest they will flash after 3. 2 hours after the 1:00 flash will be 3:00 so that is 120 minutes. 120 minutes divided by 14 minutes comes to 8.5 but you dont need the decimal. Just simply multiply 14 by 8 and that comes to 112 minutes and if you add that to 1:00 you get 2:52. so they flashed at 2:52 so the next time they flash will be 14 minutes after 2:52. Sorry for the super long answer
6 0
3 years ago
10 1/16ft + 8 3/8ft +1/2 ft
Whitepunk [10]

Answer:

18 15/16 ft

Step-by-step explanation:

what is the request here ?

to do the additions and bring all to one summary result of ft ?

I base my answer on this assumption.

10 1/16 = 161/16

8 3/8 = 67/8

1/2 = 1/2

note let's bring everything to 16th, so that we can actually add them.

161/16

67/8 = 134/16

1/2 = 8/16

161/16 + 134/16 + 8/16 = 303/16 = 18 15/16

cross check :

add all whole numbers first, and then add the remaining fractions too (need to bring them to 16th too).

10 + 8 = 18

1/16 + 3/8 + 1/2 = 1/16 + 6/16 + 8/16 = 15/16

together, 18 15/16

yeah, it is the same.

6 0
3 years ago
Select the coordinates of two points on the line y = -2.
GaryK [48]
Y=-2 is a horizontal line, each point which lies on this line has the y-coordinate -2.
Only in option C both points have the y-coordinate equal to -2.
The answer is C.
5 0
3 years ago
Read 2 more answers
Can you solve this question for me?
krek1111 [17]

y+2 = 3x

subtract 2 from each side

y = 3x-2

4 0
3 years ago
Read 2 more answers
Write a function rule that represents the sentence.<br> y is 4 less than the product of 7 and x.
goldenfox [79]
Answer:

y = 7x - 4

just as it says in words
3 0
2 years ago
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