Simplify this expression 17-a-2a-6+5a solve

 2 a + 11

Step-by-step explanation:

Simplify the following:

5 a - a - 2 a - 6 + 17

Grouping like terms, 5 a - a - 2 a - 6 + 17 = (-a - 2 a + 5 a) + (17 - 6):

(-a - 2 a + 5 a) + (17 - 6)

-a - 2 a + 5 a = 2 a:

2 a + (17 - 6)

17 - 6 = 11:

 2 a + 11

sec ф = 5/3 (quadrant 4)

let x = base

y = perp

z = hypotenuse

sec ф = hypotenuse/base = 5/3

⇒ z = 5 and x = 3

finding y:

z² = x² + y²

5² = 3² + y²

y² = 25-9

y² = 16

y = 4

now finding all other geometric functions of theta:

sin ф = y/z = 4/5

sin ф = -4/5 (sin is negative in the 4th quadrant)

cos ф = x/z = 3/5

cos ф = 3/5 (cos is positive in 4th quadrant)

tan ф = y/x = 4/3

tan ф = -4/3 (tan is negative in 4th quadrant)

cosec ф = z/y = 5/4

cosec ф = -5/4 (cosec is negative in the 4th quadrant)

cot ф = x/y = 3/4

tan ф = -3/4 (tan is negative in 4th quadrant)

answer: x=3 and y=4

step-by-step explanation: