Answer:
c=1
Step-by-step explanation:
Simplifying
3 + 2c = 5
Solving
3 + 2c = 5
Solving for variable 'c'.
Move all terms containing c to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + 2c = 5 + -3
Combine like terms: 3 + -3 = 0
0 + 2c = 5 + -3
2c = 5 + -3
Combine like terms: 5 + -3 = 2
2c = 2
Divide each side by '2'.
c = 1
Simplifying
c = 1
Dilation of a point P(x,y) with scale factor s centred at (p,q) is given by
P'=(p+s*(x-p),q+s*(x-q))
Substituting
s=2, p=2,q=2
P'=(2+2*(x-2),2+2*(y-2))
P P'
(2,4) (2+2(2-2), 2+2*(4-2)) = (2, 6)
(0,6) (2+2(0-2), 2+2*(6-2)) = (-2, 10)
(-3,3) (2+2(-3-2), 2+2*(3-2)) = (-8, 4)
Answer:
The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
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