Answer:
4 5/12
Step-by-step explanation:
4 3/4 = 19/4
19/4 = 57/12
1/3 = 4/12
57/12 - 4/12 = 53/12 = 4 5/12
I’m assuming the question is to find the equation of line.
Generally the equation of a line is in the form y=mx+c where m is the slope and c is the y-intercept. We know the slope is -9; so we have
y= -9x+c
Now substitute (6,7) in the equation to find c.
7=-9(6)+c
7=-54+c
c=7+54
c= 61
So equation of line is y = -9x+61
1)
i) Reflection about y axis i.e. x=0
ii) Horizontal shrink by scale factor 4
iii) vertical shift by 4 units up.
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2) f(x) passes through (1,-1) and (0,1)
So slope = (1+1)/(0-1) = -2
Using point slope form equation of f(x) is
y-1 = -2 (x-0) or y = -2x+1
g(x) passes through (0,-1) and (1,1)
Slope = (2/1) = 2
So using point slope form g(x) is
y-1=2x
Hence we find that y-1 = -2x is transformed into y-1 = 2x
i.e. there is a reflection of f(x) on the line y =1
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Answer:
a) when the slopes are equal
Step-by-step explanation:
The slopes of lines can be used to define the nature of lines.
Two parallel lines have equal slopes and the product of slopes of perpendicular lines is -1.
Hence, we can conclude that two distinct non-vertical lines parallel when
a) when the slopes are equal ..
So, option a is correct ..
Answer:
-1, 3, -3
Step-by-step explanation:
I don't see the graph, but you can solve by factoring:
By the factor theorem, the solutions of f(x) are -1, 3, and -3.
