The two functions are
y= f(x), ------------(1)
g(x)= f(x+2)---------(2)
⇒Consider a point (a,b) on the curve.It will satisfy (1).
b = f(a)
Now the point a is translated by 2 units right in horizontal direction and there is no vertical shift.
Coordinate of new point = (a+2,b)
Putting the value of new coordinate in equation (1), we get
b = f(a+2)
which gives equation (2), which is
g(x)= f(x+2)
Option (3) is correct,which is, the graph of g(x) is graph of f(x) translated 2 units right.
Answer:
666.6667 feet²
Step-by-step explanation:
So.
Since the scale is 1 : 20, we can do 4 x 20 and 5 x 20, Which is 80 and 100.
Find area: 80 x 100 = 8000 we can just add 2 zeros to 80 since it's multiplying by 100.
So it's 8000in²
Then we do 8000 in to feet.
Which is ≈ 666.6667feet
btw it asked for feet so we give them FEET
Answer:
B. 15.4 ft
Step-by-step explanation:
this answer, without any formulas used, can be answered correctly and logically.
answer c, d and e are eliminated as the opposite side cant be greater than the hypotenuse.
now we have to find which is correct between a and b
the answer will be 'B' as the value of sine of an angle keeps increasing as the angle itself increases. thus, giving a bigger value of the opposite side (required height). as 15.4 ft.
mathematically,
sin65° = x/17
17 × sin65° = x
where x is height of the side of the building.
Answer:
d. 3/4
Step-by-step explanation:
Answer:
B.- 
Step-by-step explanation:
The common difference is the difference between the numbers in your arithmetic sequence. In this case, we see that the numbers are getting smaller, so we can start by setting up this equation:
Because these fractions don't have a common denominator, you make them equal by changing the fractions to have a common denominator. The LCM is 6, so we multiply the first fraction by 2/2:
3/6 can be simplified to be 1/2, and we know we're subtracting, so the answer is b.
