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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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If sin x = 0.95, then what is cos x?
My name is Ann [436]
Sin=95/100 you should Find an other edge if we say y is an other edge. so,100^2=95^2+y^2
Y=31.22
Cosx=31.22/100=
O.3122

6 0
3 years ago
Miranda’s financial aid stipulates that her tuition not exceed $1200. If her college charges a $90 registration fee for the term
Arlecino [84]

Answer: the greatest number of courses for which miranda can register is 2

Step-by-step explanation:

Let x represent the number of courses for which Miranda can register.

If her college charges a $90 registration fee for the term plus $475 per course, it means that the total amount that the college charges for x courses would be

475x + 90

Miranda’s financial aid stipulates that her tuition not exceed $1200(it must be at most $1200). This means that

475x + 90 ≤ 1200

475x ≤ 1200 - 90

475x ≤ 1110

x ≤ 1110/475

x ≤ 2.34

3 0
3 years ago
A cylindrical swimming pool has a diameter of 16 feet and a height of 3 feet. How many gallons of water can the pool contain? Ro
Sever21 [200]

Answer:

<em>4,524 gallons</em>

Step-by-step explanation:

The volume of any cylinder is 

 π (radius)² (height) .

The pool's radius is 1/2 its diameter = 8 ft.  So its volume is

 π (8 ft)² (3 ft)

= π · (64 ft²) · (3 ft)

= π · 192 ft³

= 603.2 ft³ .

(603 ft³) · (7.5 gal / 1 ft³) = 4,524 gallons

Hope this helps :D

8 0
3 years ago
Read 2 more answers
Asnwer aswer answer answer plz ASWER ANSWER ANSWER ANSWERR PLZ ANSWEER I NEED ANSWER PLZZZZZ!!!! i need help HELP!!!
Ksenya-84 [330]

Answer:

29,035.43 meters

Step-by-step explanation:

What we know:

- The elevation of the shore of the Dead Sea is -1,344.99 meters.

- The summit of Mt. Everest is 30,380.42 meters above the Dead Sea.

So, we just add the two values.

30,380.42 + (-1,344.99)

We can rewrite this as 30,380.42 - 1,344.99 since adding a negative is the same as subtracting that number.

And we get 29,035.43 meters as the elevation or height of Mt. Everest.

7 0
2 years ago
Identify the error. Explain what went wrong with the work that is shown. Then, correctly solve the problem.
Sergeu [11.5K]
Line 3 is where the error begins. 12^2 is not equal to 24, it is equal to 144. Same for 18^2.

Answer:
468 = hypotenuse^2
Hypotenuse= square root of 468
7 0
3 years ago
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