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3 years ago

K+5,-1 and 2k are consecutive terms of an arithmetic sequence.1.find k2.find the terms.

Mathematics

1 answer:

Eddi Din [679]3 years ago

8 0

Answer:

K enejwjwjenenw

Step-by-step explanation:

Serey mejw catttsn keesuyboard

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Find all values of c such that c/(c - 5) = 4/(c - 4). If you find more than one solution, then list the solutions you find separ

Deffense [45]

Answer:

$\large\boxed{\bold{NO\ REAL\ SOLUTIONS}}\\\boxed{x=4-2i,\ x=4+2i}$

Step-by-step explanation:

$Domain:\\c-4\neq0\ \wedge\ c-5\neq0\Rightarrow c\neq4\ \wedge\ c\neq5\\\\\dfrac{c}{c-5}=\dfrac{4}{c-4}\qquad\text{cross multiply}\\\\c(c-4)=4(c-5)\qquad\text{use the distributive property}\\\\c^2-4c=4c-20\qquad\text{subtract}\ 4c\ \text{from both sides}\\\\c^2-8c=-20\qquad\text{add 20 to both sides}\\\\c^2-8c+20=0\qquad\text{use the quadratic formula}$

$\text{for}\ ax^2+bx+c=0\\\\\text{if}\ b^2-4ac0,\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x^2-8x+20=0\\\\a=1,\ b=-8,\ c=20\\\\b^2-4ac=(-8)^2-4(1)(20)=64-80=-16$

$\text{In the set of complex numbers:}\\\\i=\sqrt{-1}\\\\\text{therefore}\ \sqrt{b^2-4ac}=\sqrt{-16}=\sqrt{(16)(-1)}=\sqrt{16}\cdot\sqrt{-1}=4i\\\\x=\dfrac{-(-8)\pm4i}{2(1)}=\dfrac{8\pm4i}{2}=\dfrac{8}{2}\pm\dfrac{4i}{2}=4\pm2i$

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3 years ago

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I need help with 89 divided by 6 in remainder

mars1129 [50]

18.433333333, please mark brainlest! :)

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3 years ago

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Select the correct function that represents this data.

lidiya [134]

Answer:

f(x) = -5x - 2

Step-by-step explanation:

Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2, f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!

Hope this helps!

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2 years ago

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

IgorC [24]

Assuming 0 and 100 are included in the possible choices:

There are $\left\lfloor\dfrac{101}7\right\rfloor=14$ multiples of 7 between 0 and 100, so there is a $\dfrac{14}{101}\approx0.1386$ probability of choosing a multiple of 7.

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3 years ago

Proportion : X= please help me :(

KIM [24]

X=7

You divide 14 by 2 to find the proportion (7) then multiply it by 1 to get the base length of the large triangle since they’re congruent.

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2 years ago

K+5,-1 and 2k are consecutive terms of an arithmetic sequence.1.find k2.find the terms.​

K+5,-1 and 2k are consecutive terms of an arithmetic sequence.1.find k2.find the terms.