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2 years ago

Show that (2+3) + 6= (6+3) +2

Mathematics

2 answers:

Kay [80]2 years ago

6 0

Hi you would use order for opersition

lara [203]2 years ago

4 0

Answer: use order of operstions

Step-by-step explanation:

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El día del estreno de una película se vendieron 600 entradas y se recaudaron 196 250 soles. Si los adultos pagaban 400 soles. y

gulaghasi [49]

Por medio de sistema de ecuaciones:

*adultos (a) = $400

*niños (b) = $150

total de entradas : a + b = 600 ecua 1

dinero recaudado:

400a + 150b = 196 250 ecua 2

operamos:

a + b = 600 ecua 1

400a + 150b = 196 250 ecua 2

--------------------------

(-150) a + b = 600

400a + 150b = 196 250

-----------------------

- 150a - 150b = -90 000

400a + 150b = 196 250

-----------------------

250a = 106 250

a = 106 250/250

a = 425 adultos

a + b = 600

425+b =600

b = 600-425

b = 175 niños

comprobacion:

400a + 150b = 196 250

400(425)+150(175)=196 250

170 000 + 26 250 = 196 250

196 250 = 196 250

si tienes dudas pregunta

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3 0

3 years ago

Help! How would I solve this trig identity?

NeTakaya

Using simpler trigonometric identities, the given identity was proven below.

<h3>How to solve the trigonometric identity?</h3>

Remember that:

$sec(x) = \frac{1}{cos(x)} \\\\tan(x) = \frac{sin(x)}{cos(x)}$

Then the identity can be rewritten as:

$sec^4(x) - sen^2(x) = tan^4(x) + tan^2(x)\\\\\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\$

Now we can multiply both sides by cos⁴(x) to get:

$\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)} = \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)} \\\\\\\\cos^4(x)*(\frac{1}{cos^4(x)} - \frac{1}{cos^2(x)}) = cos^4(x)*( \frac{sin^4(x)}{cos^4(x)} + \frac{sin^2(x)}{cos^2(x)})\\\\1 - cos^2(x) = sin^4(x) + cos^2(x)*sin^2(x)\\\\1 - cos^2(x) = sin^2(x)*sin^2(x) + cos^2(x)*sin^2(x)$