I think the correct answer from the choices listed above is the distributive postulate. The expression 3x + 3 = 3(x + 1) is an example of a distributive postulate. It <span>says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately. Hope this answers the question.</span>
Answer:
1/8
Step-by-step explanation:
5 green marbles
40 marbles in total
so 5/40
And that simplifies to 1/8
Answer:
x=2 Combine like terms and
Subtract 5x5x from both sides of the equation and Simplify and Divide both sides of the equation by the same factor
Answer:
7
Step-by-step explanation:
2-3 = -1 and 7 - 1 is 6
x+y=7
y(x)=sin^2 (x/4)+12sin(x/4)
y(x) = sin^2(x/7) +16sin(x/7)
From the Chain Rule,
y'(x) = 2sin(x/4)*(1/4)cos(x/4) + 12(1/4)cos(x/4).
At x=4pi, the slope of the tangent line is
y'(4pi) = 2sin(4pi/4)*(1/4)cos(4pi/4) + 12(1/4)cos(4pi/4).
= 2sin(pi)*(1/4)cos(pi) + 12(1/4)cos(pi)
= 2(0)(1/4)(-1) + 12(1/4)(-1)
= -3
The angle (in radians) that the tangent line makes to the
positive x-axis is
pi - arctan(3)= 1.249 rad =71.565 degree
