Answer:
C. 11 3/4
Step-by-step explanation:
3 + 3 + 2 + 2 = 10
1/4 + 3/4 + 1/4 = 1 1/4
1/2 -> 2/4
2/4 + 1 1/4 = 1 3/4
10 + 1 3/4 = 11 3/4
Well, your equation y=3/SQRT(3x+4) should be rationalized, but that's not what you want.
If f(x) = 3/SQRT(x+4) and g(x) = 3x
f(g(x)) then = 3/SQRT(3x+4), but rationalizing this = 3SQRT(3x+4)/(3x+4)
The length of the unknown leg of the triangle is 15 m.
<u>Step-by-step explanation:</u>
Length of one leg = 20 m
Length of the hypotenuse= 25m
As it is a right angled triangle we can use pythogoras theorem.
Let the unknown length be y
(20) (20) + y(y) = (25) (25)
400 + y(y) = 625
y(y) = 225
y = √225
y = 15
The length of the unknown leg is 15 m.
Remember that c is the initial height. Since we the rocket is in a 99-foot cliff, c=99. Also, we know that the velocity of the rocket is 122 ft/s; therefore v=122
Lets replace the values into the the vertical motion formula to get:

Notice that the rocket hits the ground at the bottom of the cliff, which means that the final height is 99-foot bellow its original position; therefore, our final height will be h=-99
Lets replace this into our equation to get:


Now we can apply the quadratic formula

where a=-16, b=122, and c=198


or


or


or

Since the time can't be negative, we can conclude that the rocket hits the ground after 9 seconds.
Answer:
7i
Step-by-step explanation:
We know that i = √-1
Then solving the given:
- √-49 = √49×(-1) = √49 × √-1 = 7×√-1 = 7i
So the answer is: