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3 years ago

the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term

Mathematics

1 answer:

Mariulka [41]3 years ago

7 0

Answer:

<h2>This value is called the common difference</h2>

Step-by-step explanation:

The common difference is the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term, it is basically the difference between consecutive numbers

To find the common difference we can subtract the previous term from the first time or the second to the last term from the last term, the idea of finding the common difference is basically subtracting the previous term form the subsequent term.

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Which two values of X are roots of the polynomial below 4x^2-6x+1

PtichkaEL [24]

$4x^2-6x+1=0\\\\a=4,\ b=-6,\ c=1\\\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4(4)(1)=36-16=20\\\\\sqrt\Delta=\sqrt{20}=\sqrt{4\cdot5}=\sqrt4\cdot\sqrt5=2\sqrt5\\\\x_1=\dfrac{-b-\sqrt\Delta}{2a},\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\x_1=\dfrac{-(-6)-2\sqrt5}{2\cdot4}=\dfrac{3-\sqrt5}{4}\\\\x_2=\dfrac{-(-6)+2\sqrt5}{2\cdot4}=\dfrac{3+\sqrt5}{4}$

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3 years ago

X/2 -15= -7 in verbal expression

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3 years ago

Cos 0 = 12/13. Find sin 0.<br> A. 5/12<br> B. 12/5<br> C. 13/12<br> D. 5/13

andreyandreev [35.5K]

Answer:

Sine θ = 5/13

Step-by-step explanation:

From the question given above, the following data were obtained:

Cos θ = 12/13

Sine θ =?

Next, we shall determine the opposite. This can be obtained as follow:

Cos θ = Adjacent /Hypothenus

Cos θ = 12/13

Adjacent = 12

Hypothenus = 13

Opposite =?

Hypothenus² = Opposite² + Adjacent²

13² = Opposite² + 12²

169 = Opposite² + 144

Collect like terms

169 – 144 = Opposite²

25 = Opposite²

Take the square root of both side

Opposite = √25

Opposite = 5

Finally, we shall determine the Sine θ. This can be obtained as follow:

Opposite = 5

Hypothenus = 13

Sine θ =.?

Sine θ = Opposite / Hypothenus

Sine θ = 5/13

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2 years ago

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coldgirl [10]

The top right quadrant

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3 years ago

Find the length of GF

Cerrena [4.2K]

By the Pythagorean Theorem:

The square of the hypotenuse (longest side) of a right triangle is equal to the sum of the side lengths squared, or mathematically:

h^2=x^2+y^2, where x and y are the side lengths and h is the length of the hypotenuse, in this case:

9.4^2=6.8^2+GF^2

GF^2=9.4^2-6.8^2

GF^2=42.12

GF=√42.12 units

GF≈6.49 units (to nearest hundredth of a unit)

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3 years ago

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the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term​

the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term