Answer:
The answer is 36.9
Step-by-step explanation:
Answer:
The length of DF is 15
Step-by-step explanation:
Since the two lines are equal, which is given by the markings on the triangle, then you can set the two lengths equal and find x.
7x - 13 = 3x + 3
4x - 13 = 3
4x = 16
x = 4
Now that we know x = 4, we can plug into the DF length to find its amount.
DF = 7x - 13
DF = 7(4) - 13
DF = 28 - 13
DF = 15
and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
84.87=115%
x =100%
x=73.8
the number is x=73.8=100%
Answer:
Time = 25/9 hr
Step-by-step explanation:
Let speed of boat in still water is x km/hr
then, speed in downstream equals to "x + 3"km/hr
and speed in upstream equals to "x - 3" km/hr
We also know that time taken to travel 3km in upstream is twice as time taken to travel 4km in downstream.
so, using time = distance/speed
3/x- 3 = 2 × (4/x + 3)
3x + 9 = 8x -24
5x = 33
x = 33/5 km/hr
Net speed in upstream = 33/5 - 3 = 18/5 km/hr
So, Time taken to travel 10km upstream = distance /speed
= (10 × 5) / 18 = 25/9 hr
Time = 25/9 hr