Answer:
-3x +4=x-2,.........
Step-by-step explanation:
If it's wrong....I apologize in advance!
Answer:
5. B
6. J
Step-by-step explanation:
5. The lower left point on the graph is (1, 5). The only answer choice containing this point is choice B.
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6. The "range" is the list of y-values. This is also the list of second values in the ordered pairs of the answer to question 5. They are ...
{5, 6, 10, 15} . . . . matches choice J
We have been given that in triangle ABC angle A=45 angle B =40 and a=7. We are asked to find the equation that we can use to solve for 'f'.
We have two angles and opposite sides to these angles.
We will use Law of Sines to solve our given problem.
, where a, b and c are opposite sides corresponding to angles A, B, and C respectively.
The angle opposite to side b is 40 degrees and angle opposite to side a is 45 degrees.
Upon substituting these values in Law of Sines, we will get:
![\frac{7}{\sin(45^{\circ})}=\frac{b}{\sin(40^{\circ})}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B%5Csin%2845%5E%7B%5Ccirc%7D%29%7D%3D%5Cfrac%7Bb%7D%7B%5Csin%2840%5E%7B%5Ccirc%7D%29%7D)
Therefore, our required equation would be
.
Answer:
1. y = sin(x²+C)
2. see below
Step-by-step explanation:
1. ![\frac{dy}{dx} = 2x\sqrt{1-y^2}](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D%202x%5Csqrt%7B1-y%5E2%7D)
separation of variables
![\frac{dy}{\sqrt{1-y^2} } = 2xdx](https://tex.z-dn.net/?f=%5Cfrac%7Bdy%7D%7B%5Csqrt%7B1-y%5E2%7D%20%7D%20%3D%202xdx)
integration both sides![\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx](https://tex.z-dn.net/?f=%5Cint%5Cfrac%7Bdy%7D%7B%5Csqrt%7B1-y%5E2%7D%20%7D%20%3D%20%5Cint2xdx)
you should get :
remember constant of integration!!
2. y = sin(x²+C)
3 = sin(0+C)
y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range