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SashulF [63]
3 years ago
5

What number must you add to complete the square x^2+24x=17

Mathematics
2 answers:
Arte-miy333 [17]3 years ago
8 0
We have
x² + 24x = 17                          (1)

Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.

Therefore
x² + 24x = (x+12)² - 144         (2)

Substitute (2) into (1).
(x + 12)² - 144 = 17 
(x + 12)² = 17 +144
(x + 12)² = 161

Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.

Ksenya-84 [330]3 years ago
4 0

The correct answer is 144

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Please help I’ll give brainliest
ivanzaharov [21]

Answer:

a) 421mm² = 0.000421 m²

b) 9.3kg²= 9,300,000 g²

c) 25kL²= 25,000,000 L²

d) 1439m²= 0.001439 km²

8 0
3 years ago
numbers of the wide waters Club pay $105 per summer season plus $9.50 each time they rent a boat non members must pay $14.75 eac
Ahat [919]

The member pays  $9.50  to take a boat out,
plus  $105  just to be a member.

Let's call ' R ' the number of rentals

               Member Cost  =  (9.50 times R) + 105

        Non-member cost  =  (14.75 times R) .

You're interested in  when their costs are equal,
so at that point, we can write ...

           Member cost  =  non-member cost

                 9.5 R + 105  =  14.75 R

Subtract  9.5 R  from each side:  105  =  5.25 R

Divide each side by  5.25 :             20  =  R  

If you're going to rent a boat less than 20 times during the
Summer season, rent them at the non-member rate.

More than 20 times in 1 Summer, you'll save money by being
a member.  

This sounds a bit extreme to me.  If the Summer season means
ALL of May, June, July, August, and September, then you would
need to average more than one rental every 7.65 days ... a hair
more than one a week ... in order to save any money by being a
member.  I love sailboat rental, and I live just 2 miles from Lake
Michigan, but even at these prices (cheap), I would never average
a rental every week for 5 months.   So for me, there would be no
benefit in a membership ... at least not in the cost of boat rental.        

========================================

Another way to do it, with more brain but less algebra:

Each time a member rents a boat, he pays  (14.75 - 9.50) = 5.25
LESS than a non-member would pay to rent the same boat.
But in order to get that deal, he had to pay $105 "up front", at the
beginning of the season, before he ever rented anything.

How many times does he have to 'save' $5.25 before he makes up
for the the  $105 ?

           ($105) / ($5.25)  =  20 times .

8 0
4 years ago
Read 2 more answers
A mirror should be centered on a wall. The mirror is 36 inches wide and the wall is 18 feet wide. Which equation helps determine
Lera25 [3.4K]

Linear equation is the equation in which the highest power of the unknown variable is always 1.The equation which helps determine the distance x on each side of the mirror is ,

x+3+x=18.

<h3>Given information-</h3>

The length of the mirror is 36 inches.

The length of the wall is 18 feet.

The linear equation has to find out for the distance <em>x.</em>

<em />

<h3>Linear equation-</h3>

Linear equation is the equation in which the highest power of the unknown variable is always 1.

As one feet is equal to the 12 inches. Thus the length l of the mirror in the feet is,

l=\dfrac{36}{12}

l=3

The mirror is 3 feet wide.

The distance on each side of the mirror is <em>x. </em>This distance is equal at both side as the mirror is centered. The distance on each side of the mirror is,

=x+x.

Now the the wall is 18 feet wide which is equal to the distance each side of the mirror and the distance of the mirror. As the mirror is 3 feet wide. Thus the equation which determine the distance x on each side of the mirror can be given as,

x+3+x=18

Hence the equation which helps determine the distance x on each side of the mirror is ,

x+3+x=18.

Learn more about the linear equation here;

brainly.com/question/2263981

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Which of the following is closest to the diagonal measure of an 18 inch square tile
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Answer:

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How many black cherry trees have a height of 80 or more feet?
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The answer is...........b)5
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