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NeTakaya
2 years ago
8

Find the determinant of the matrix.

Mathematics
1 answer:
Natalka [10]2 years ago
8 0

Answer:

0

Step-by-step explanation:

\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc

0(4)-4(0) = 0

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3 years ago
Your brother has $2000 saved for a vacation. His airplane ticket is $637. Write and solve an inequality to find how much he can
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Answer:

$1,363

Step-by-step explanation:

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5 0
3 years ago
The sum of an arithmeit cprogression consisting of 20 positive integer terms with positive common difference is equal to 2020. (
Rufina [12.5K]

Answer:

a) possible progressions are 5

b) the smallest and largest possible values of the first term are 16 and 82

Step-by-step explanation:

<u>Sum of terms:</u>

  • Sₙ = n/2(a₁ + aₙ) = n/2(2a₁ + (n-1)d)
  • S₂₀ = 20/2(2a₁ + 19d) = 10(2a₁ + 19d)
  • 2020 = 10(2a₁ + 19d)
  • 202 = 2a₁ + 19d

<u>In order a₁ to be an integer, d must be even number, so d = 2k</u>

  • 202 = 2a₁ + 38k
  • 101 = a₁ + 19k

<u>Possible values of k= 1,2,3,4,5</u>

  • k = 1 ⇒ a₁ = 101 - 19 = 82
  • k = 2 ⇒ a₁ = 101 - 38 = 63
  • k = 3 ⇒ a₁ = 101 - 57 = 44
  • k = 4 ⇒ a₁ = 101 - 76 = 25
  • k = 5 ⇒ a₁ = 101 - 95 = 16

<u>As per above, </u>

  • a) possible progressions are 5
  • b) the smallest and largest possible values of the first term are 16 and 82
6 0
3 years ago
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5 0
3 years ago
Write in factored form<br> m^2 - n^4
Evgesh-ka [11]

The answer is : \left(m+n^2\right)\left(m-n^2\right)

Here are the steps below to help you! ^^

8 0
2 years ago
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