Answer:
translate the graph 5 units left and down 2 units
Step-by-step explanation:
To translate the function f(x) by an amount h units right and k units up, make the transformation ...
g(x) = f(x -h) +k
Comparing this to your equation,
g(x) = f(x +5) -2
we see that the translation is h = -5, k = -2.
The graph of f(x) is translated 5 units left and 2 units down to make the graph of g(x).
Answer:
x = 20°
y = 70°
Step-by-step explanation:
the angle adjacent to the 40° angle must be 140° because the two angles form a straight line (which contains 180°)
in the isosceles triangle with the 'x', that means the other two angles must be equal and are (180-140) ÷ 2, which equals 20°
to find 'y', consider the larger right triangle with angles of 90° and 20°; angle y must equal 180 - (90 + 20) = 70°
Answer:
- 3/8 in/ft
- 1/32 . . . (pure number, no units)
Step-by-step explanation:
The ratio can be expressed directly as ...
... (6 in)/(16 ft) = 3/8 in/ft
This can be read or used in different ways:
Or, the units can be made compatible and the ratio expressed as a pure number.
... (1/2 ft)/(16 ft) = (1/32) ft/ft = 1/32
This means whatever measurement is made on the model, the actual vehicle measurement is 32 times that.
1/2.
divide everything by 9.
