Answer:
sin(theta) + cos(theta) = 0
sin(theta) = -cos(theta)
sin(theta)/cos(theta) = -1
tan(theta) = -1
theta = - 45° ± k·180°
Answer:
the smiths family has 2 choices to make , color and style, By the fundamental counting principle, the product of the number of choices of color and style must equal 8. So, there could be 1 color and 8 style choices .2 colors and 4 styles ,4 colors and 2 styles , or 8 colors and 1 style.
Step-by-step explanation:
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Get the equation to slope-intercept form: y = mx + b
6x + 3y = 6
Subtract 6x from both sides. This will give you 3y = -6x + 6.
Then, divide by 3 on both sides. This gives you y = -6x + 2.
2 is your y intercept and -6 is your slope.
Answer:
(x + 6)² + (y - 2)² = 75
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (- 6, 2) and r = 5, hence
(x - (- 6))² + (y - 2)² = (5 )², that is
(x + 6)² + (y - 2)² = 75