X represents the number 1
We are starting with y = 3x -5 which is the slope intercept form (y = mx +b) of a linear equation where the slope is m and the y intercept is b. In this equation the slope m = 3 A perpendicular line would have a slope that is the negative reciprocal so the slope of the perpendicular line would be m = -1/3 So we have a slope m = -1/3 and a point (3,2) so use the point slope formula (Y-Y1) = m(X-X1)In this case (X1,Y1) = (3,2) (Y - 2) = (-1/3)(X-3) Y-2 = (-1/3)X + 1 Y = (-1/3)X + 3 would be the equation of the perpendicular line through (3,2)
Answer:
280 in^3
Step-by-step explanation:
(10 x 4) x 7
40 x 7
280
Answer:
See explanation
Step-by-step explanation:
sin(α + β) = sin α cos β + sin β cos α
sin(α - β) = sin α cos β - sin β cos α
[ sin(α + β) + sin(α - β)] = [sin α cos β + sin β cos α + sin α cos β - sin β cos α]
= [2 sinα cos β]
= sin α cos β = [ sin(α + β) + sin(α - β)]
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
