The answer is 155 . 234-79=155 !
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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Each "x" on the number line seems to represent a tree that sap has been collected from. That's 15 trees. Furthermore, you know that the total amount of sap is 8 gallons, because it's stated in the question.
To get the amount of sap that would be collected from each tree if it had been distributed equally (also known as the <em>average</em> amount of sap collected from each tree), just do exactly that.
Mathematically, this means you would divide the 8 gallons by 15 trees, or 8 ÷ 15. The total amount of sap collected is equivalent to an average of eight fifteenths of a gallon per tree.
Hope that helps c:
Answer:
a) XY and BD are paralel and they are on the same side in relation to AB line
b) Lines XB and XC have the same size and are supported by the same line BC, therefore XBC and XCB have the same angles, therefore XCB is also 55º.
The sum of all angles of a triangle is 180 so BXC is 180 - 55 - 55.
180 - 110 = 70º
BXC = 70º... probably
Step-by-step explanation: