Answer:
-7
Step-by-step explanation:
Given the expression: y = mx + c
Where m = slope
c = intercept
Therefore, from the given question: y = -7x. The slope m = -7
sin θ = 3 / 7 = .429
sin^2 θ + cos^2 θ = 1 trig identity
9/49 + cos^2 θ = 1
cos^2 θ = 40 / 49 = .816 cos θ = .903
Check .429^2 + .903^2 = 1
cos .903 = 25.4 deg
In the second quadrant sin = +, cos = -, tan = -
So 25.4 deg in the second quadrant = 180 - 25.4 = 154.6 deg
Check:
sin 154.6 = .428
cos 154.6 = -.903
tan 154.6 = -.475
x=-11
we know that
Points A,B,C,and D are collinear and positioned in that order
so
AD=AB+BC+CD -----> by addition segment postulate
we have
AB=2x+30
AD=x=32
substitute the given values and solve for x
x+32 = (2x+43)
Group terms that contain the same variable
2x-x=32-43
x=-11
Answer:
1008 possible dinner orders
Step-by-step explanation:
There are 3 possible salads, 4 possible entrees, and 9 possible sides.
Each dinner has 1 salad, 1 entree, and 3 sides.
Using combinations,
C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008
