Answer:
x = π/3, x = 5π/3, x = 4π/3
Step-by-step explanation:
Let's split the given equation (2cosx-1)(2sinx+√3 ) = 0 into two parts, and solve each separately. These parts would be 2cos(x) - 1 = 0, and 2sin(x) + √3 = 0.
Remember that the general solutions for cos(x) = 1/2 are x = π/3 + 2πn and x = 5π/3 + 2πn. In this case we are given the interval 0 ≤ x ≤2π, and therefore x = π/3, and x = 5π/3.
Similarly:
The general solutions for sin(x) = - √3/2 are x = 4π/3 + 2πn and x = 5π/3 + 2πn. Therefore x = 4π/3 and x = 5π/3 in this case.
So we have x = π/3, x = 5π/3, and x = 4π/3 as our solutions.
Y = 2x - 5
3x + 8y + 32 = 56
3x + 8(2x - 5) + 32 = 56
3x + 8(2x) - 8(5) + 32 = 56
3x + 16x - 40 + 32 = 56
19x - 8 = 56
<u> + 8 + 8</u>
<u>19x</u> = <u>64</u>
19 19
x = 3.4
y = 2(3.4) - 5
y = 6.8 - 5
y = 1.8
(x, y) = (3.4, 1.8)
Х is the first <span>integer
</span>(x+1) is the second integer
x + x + 1 = -49
2x + 1 = - 49
2x = -49 - 1
2x = -50
x = -25 first integer
-25 + 1 = -24 second integer
Answer: -25 and -24
Here are my notes for monthly rents:
<span>Landlords typically require that your annual income is at least 40 times the monthly rent. For example, if you and your roommate are looking at a $3,000 per month apartment, the landlord would require a combined income of $3,000 × 40, which equals $120,000. To determine how much rent you (and your potential roommates) can afford, simply divide your combined annual incomes by 40.
</span>
I hope my guide has come to your help. God bless and have a nice day ahead!
Answer: y = -4x-9
Step-by-step explanation:
parallel slope means it's the same slope as the given equation
y+1=-4(x+2)
y+1 = -4x-8
y = -4x-9
