9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
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1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
Ab+ac=a(b+c) or
ba+ca=a(b+c)
c(m-n)+d(m-n)=(m-n)(c+d)
Given :
M(6,5) is the mid-point of the straight line joining A(2 , 3) to the
point B.
To Find :
The coordinates of B.
Solution :
Let, coordinates of point B is ( h , k ) .
It is given that M is the mid - point of the straight line joining points A and B.
Coordinates of M is given by :
Therefore, coordinates of point B is ( 10 , 7 ).
Sin(70+80) = sin 150.......................
Answer:
cos(X+Y) = cos(55+35) = cos(90) = 0
Step-by-step explanation:
cos(X+Y) = cosXcosY - sinXsinY
cos(55+35) = cos(55)cos(35) - sin(55)sin(35)
cos(55+35) = cos(55)cos(35) - cos(90-55)cos(90-35)
cos(55+35) = cos(55)cos(35) - cos(35)cos(55)
cos(55+35) = 0
cos(90) = 0
