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trapecia [35]
3 years ago
7

What number should be added to both sides of the equation to complete the square? x2 - 6x = 5

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0

Answer:

9

Step-by-step explanation:

Ymorist [56]3 years ago
4 0

Answer:

9

Step-by-step explanation:

Given

x² - 6x = 5

To complete the square

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

x² + 2(- 3)x + 9 = 5 + 9, that is

(x - 3)² = 14

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20 inches

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6 0
2 years ago
A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessi
Elza [17]

Question:

A cinema can hold 270 people at one performance 5/9 of the seats were occupied of the occupied seats 40% we occupied by concessionary ticket holders.

What is the number of seats occupied by concessionary ticket holders?.

Answer:

60 seats

Step-by-step explanation:

Given

Number of seats = 270

Occupied Seats = 5/9

Concessionary ticket holders = 40% of occupied Seats

Required

The number of seats occupied by concessionary ticket holders

First the number of occupied seat has to be calculated.

Occupied\ Seats = \frac{5}{9} * 270

Occupied\ Seats = \frac{1350}{9}

Occupied\ Seats = 150

Next is to determine the number of seats occupied by concessionary ticket holders.

Number = 40\%\ of\ occupied\ seats

Number = 40\%\ of\ 150

Convert percentage to decimal

Number = 0.4 * 150

Number = 60

<em>Hence, 60 seats were occupied by concessionary ticket holders.</em>

5 0
3 years ago
Find the slope of a ski run that descends 15 feet for every horizontal change of 24 feet.
Ivahew [28]
The answer is 360 -15 times -24 equals 360
5 0
3 years ago
Read 2 more answers
What is the value of x? 42 45 3 15
mylen [45]

Answer:

125 is the value of the question

3 0
3 years ago
What is the value of z?
VashaNatasha [74]

Answer:

z = 61

Step-by-step explanation:

The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:

z + z - 11 = z + 50

Add like terms, which would be the 2 "z's" on the left side:

2z - 11 = z + 50

Then subtract the z on the right side from both sides:

2z - 11 = z + 50

-z          -z

___________

z - 11 = 50

Add 11 to both sides:

z - 11 = 50

  + 11    +11

________

z = 61

6 0
3 years ago
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