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poizon [28]
3 years ago
7

What is the next term of the arithmetic sequence 24, 16, 8, 0,

Mathematics
2 answers:
Lelu [443]3 years ago
8 0

Answer:

-8

Step-by-step explanation:

it subtracts by 8

Dmitrij [34]3 years ago
5 0

Answer:

-8

Step-by-step explanation:

The term-to-term rule is -8.

16 - 24= -8

8 - 16 = -8

0 - 8 = -8

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What is the value of x?
sladkih [1.3K]
If the angles are 90,45,45 so the sides except hypotenuse are congruent
and the hypotenuse is equal to :
{6 \sqrt{2} }^{2}  +  {6 \sqrt{2} }^{2}  =  {x}^{2}  \\  {8.5}^{2}   +  {8.5}^{2}  =  {x}^{2}  \\ 72.25 + 72.25 =  {x}^{2}  \\
{x}^{2}  = 144.5 \\ x = 12

the answer is 12

hope this helps
6 0
4 years ago
The length of a rectangular piece of steel in a bridge is 2 meters less than triple the width. The perimeter of the piece of ste
Sholpan [36]
This is an algebraic equation. First we have a square the width is X
The length is L=3X-2. P (perimeter is 44)
Therefore P = 2L+2X
                    = 2(3x-2) + 2x
                    = 6x - 4 + 2x
                    = 8x - 4
            44+4=8x
                  x=48/8
                  x=6

Ans: Width is 6 metres and length is 16 metres
7 0
4 years ago
Write each quotient as a single power.
Hitman42 [59]

a)\frac{-3^4}{3^4} = -3^{4-4} = -1

b)\frac{(-9)^{10}}{(-9)^5} = (-9)^{10-5}= (-9)^5

c)\frac{11^9}{11^6} = 11^{9-6} =11^3

ok done. Thank to me :>

8 0
3 years ago
Determine the
AlladinOne [14]

Answer:

a₄ = - \frac{27}{2}

Step-by-step explanation:

In a geometric sequence, the common ratio r is calculated as

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} } , substitute values

\frac{2x+2}{x} = \frac{3x+3}{2x+2} ( cross- multiply )

(2x + 2)² = x(3x + 3) ← expand both sides

4x² + 8x + 4 = 3x² + 3x ( subtract 3x² + 3x from both sides )

x² + 5x + 4 = 0 ← in standard form

(x + 1)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 4 = 0 ⇒ x = - 4

However x ≠ - 1 as this would make the denominator of the second term equal to zero and therefore undefined.

Thus x = - 4 and

r = \frac{2(-4)+2}{-4} = \frac{-8+2}{-4} = \frac{-6}{-4} = \frac{3}{2}

Then

a₁ = - 4

a₂ = - 4 × \frac{3}{2} = - 6

a₃ = - 6 × \frac{3}{2} = - 9

a₄ = - 9 × \frac{3}{2} = - \frac{27}{2}

7 0
3 years ago
Are these ratio proportional 4/9 and 11/6
kogti [31]

Answer:

  • Not proportional.

Step-by-step explanation:

<u>Work:</u>

  • 4:9::11/6
  • => 4 x 6 = 9 x 11
  • => 24 ≠ 99

This proves that this ratio is not proportional.

6 0
3 years ago
Read 2 more answers
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