answer
10
step-by-step explanation
the equation given is sin(x) = cos(y) with x = 2k + 3 and y = 6k + 7
substitute in 2k+ 3 for x in sin(x) and substitute in 6k + 7 for y in cos(y)
sin(x) = cos(y)
sin(2k + 3) = cos(6k + 7)
we know that sin(x) = cos(90 -x)
sin(2k + 3)
= cos(90 - (2k + 3) )
= cos(90 - 2k - 3)
= cos(87 - 2k)
substitute this into the equation sin(2k + 3) = cos(6k + 7)
sin(2k + 3) = cos(6k + 7)
cos(87 - 2k) = cos(6k + 7)
87 - 2k = 6k +7
80 = 8k
k = 10
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The first place after the decimal represents the tenths place, the second place represents the 100ths place and so on.
Hello! I would love to help!
The answer is -10,-1
Basically, you have to fill -10 in for x and -1 in for y in each equation. If the equations are true, that is the right answer!
Hope this helped! Comment if you have questions!
Usando un sistema de ecuaciones, se encuentra que
- Cada manzana cuesta $3.
- Cada pera cuesta $1.
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- Un sistema de ecuaciones soluciona esta pergunta.
- El custo de una manzana es x.
- El custo de una pera es y.
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- <u>Seis manzanas y 8 peras cuestan $26</u>, o sea,
- <u>Cada manzana cuesta el triple de cada pera</u>, o sea,
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Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.
Cada pera cuesta $1.
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<u>Cada manzana cuesta el triple de cada pera</u>, o sea, .
Cada manzana cuesta $3.
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