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Ber [7]
3 years ago
10

The product of two consecutive even integers is 32 less than the square of the greater integer. Find the smaller integer.

Mathematics
2 answers:
Lilit [14]3 years ago
5 0

Answer:

The smallest even integer is 14

Step-by-step explanation:

Given as :

The product of two consecutive even integers is 32 less than the square of the greater integer.

Let the smallest even integer = 2 x            ...........1

And The greatest even integer = 2 x + 2            ..........2

<u>Now, According to question</u>

smallest even integer × greatest even integer = (greatest even integer)² - 32

Or, (2 x + 2) × 2 x =  (2 x + 2)² - 32

Or, 4 x² + 4 x =  4 x² + 8 x + 4 - 32

Or,  (4 x² + 8 x) - (4 x² + 4 x) = 32 - 4

Or, (4 x²- 4 x²) + (8 x - 4 x) = 28

Or, 0 + 4 x = 28

∴ x = \dfrac{28}{4}

I.e x = 7

Now, pout the value of x in 1

So, The smallest even integer = 2 x = 2 × 7 = 14

Hence, The smallest even integer is 14  Answer

aliina [53]3 years ago
4 0

Answer:

14

Step-by-step explanation:

x = \dfrac{28}{4}

I.e x = 7

Now, pout the value of x in 1

So, The smallest even integer = 2 x = 2 × 7 = 14

  1. Hence, The smallest even integer is 14  Answer
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central angle of a sector is 72° and the sector has an area of 16.2(pie) ft^2. what is the radius of the circle?
Cloud [144]
Sector area = (central angle / 360) * PI * radius^2
sector area = (72 / 360) * PI * radius^2
radius^2 = sector area / [(72 / 360) * PI]
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Source:
http://www.1728.org/radians.htm



6 0
4 years ago
Task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence.
yarga [219]

Answer:

#5: Equivalent

#6: Not Equivalent

1. 3x+6

2. 4y-4

3. x²+6x

4. xy+4x

5. 3x²+3xy-3x

Step-by-step explanation:

for #6 the equivalent: 2x(x+3)= 2x²+6x

8 0
1 year ago
Three students earned $48.76 at the bake sell. The students split the earnings evenly, how much did each student recieve?
Sveta_85 [38]

Answer

Find out the  how much did each student recieve .

To prove

Let us assume that  each student earned in the bake sell be x .

As given

Three students earned $48.76 at the bake sell.

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Than the equation becomes

x = \frac{48.76}{3}

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Therefore the  each student recieve $16.25(approx) .

Hence proved


4 0
3 years ago
Read 2 more answers
The table below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage rep
Pani-rosa [81]
The first thing we must do for this case is to observe the highest relative frequency of the table in the total column.
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 The percentage is given by:
 (0.31) * (100) = 31%
 Answer:
 
The percentage that represents the car bought most often is:
 
31%
6 0
3 years ago
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