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IrinaK [193]
3 years ago
11

Given two consecutive positive even integers, the square of the smallest added to 4 times the largest is equal to 40. What are t

he integers?
Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0
One way is to keep trying pairs of consecutive positive even integers until you find a pair that satisfies the question.

Trying 2 and 4:
2^2 + 4*4 = 20
That was not 40. Trying the next pair:
Trying 4 and 6:
4^2 + 4*6 = 40
The answer is 4 and 6!
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What is the answer to this along with steps to doing it?
pashok25 [27]
1/2*(2*8)=3*(-12)
1/2*16=3*(-12)
1/2*16= -36
8= -36
The equality is false because the left hand and right hand side are different
8 0
3 years ago
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Find the product of x^2(4x-3)
TEA [102]

Answer:

4 x^3 - 3 x^2

Step-by-step explanation:

Expand the following:

x^2 (4 x - 3)

x^2 (4 x - 3) = x^2×4 x + x^2 (-3):

4 x^2 x - 3 x^2

x^2×4 x = x^(2 + 1)×4:

4 x^(2 + 1) - 3 x^2

2 + 1 = 3:

Answer: 4 x^3 - 3 x^2

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER FAST HAVE TO FINISH TEST BY THE END OF THE DAY:
Dennis_Churaev [7]

Step-by-step explanation:

0.05*6=0.3*5000=1500

3 0
3 years ago
HELP WILL MARK BRAINIEST!!!
maria [59]

Answer:

23 feet

Step-by-step explanation:

The absolute value of -14 is fourteen.

The absolute value of 23 is twenty-three

23>14

4 0
2 years ago
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