Answer:
2
Step-by-step explanation:
2x – 3y + 5 – (x – 3y) = 11 – 2x . . . . . given
2x -3y +5 -x +3y = 11 -2x . . . . . . . . . . .eliminate parentheses
x +5 = 11 -2x . . . . . . . . . . . . . . . . . . . . . collect terms
3x = 6 . . . . . . . . . . . . . . . . . . . . . . . . . . add 2x-5
x = 2 . . . . . . . . divide by 3
The value of x is 2.
Answer:
1.563
Step-by-step explanation:
Given :
Probability of head, p = 0.64
Number of flips it would take for tail to appear first :
Treatting the question as a geometric function :
Using the relation :
1 / p
Expected number of flips until first tail :
1 / P = 1/ 0.64 = 1.5625
E(x) = expected number of flips until first tail = 1.563
(C) (-2, -36) . . . . . . is the appropriate choice
_____
An easy way to tell is to let a graphing calculator show you.
Or, you can rearrange the equation to vertex form.
f(x) = 5(x² +4x) -16
= 5(x² +4x +4) -16 -5*4 . . . . complete the square
= 5(x +2)² -36
So, the vertex is (-2, -36).
Answer:
θ = 27.47°
Step-by-step explanation:
This problem can be represented as a right-angled triangle, as shown in the diagram below.
To find θ, we apply the tangent part of the trigonometric ratios SOHCAHTOA:
tanθ = 
In the diagram, opposite = 1.3 m and adjacent = 2.5 m
Hence:
tanθ = 
tanθ = 0.52
θ = 
θ = 27.47°
The ramp forms 27.47° with the ground.
Answer:
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