We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>
Answer:
f⁻¹(7) = 1
Step-by-step explanation:
Step 1: Write out function
f(x) = 3x + 4
Step 2: Find f⁻¹(x) (or known as inverse f(x))
y = 3x + 4
x = 3y + 4
-3y + x = 4
-3y = 4 - x
y = -4/3 + x/3
Step 3: Plug in 7 into inverse f(x)
f⁻¹(7) = 7/3 - 4/3
f⁻¹(7) = 3/3
f⁻¹(7) = 1
Answer:
C. 6,000 km
Step-by-step explanation:
v = speed at S-wave travel through the earth = 8 km/sec
t = time of travel for the S-wave through the earth = 13 minutes = 13 x 60 seconds = 780 seconds (Since 1 minute = 60 seconds)
d = distance traveled by S-wave in the given time interval
Distance traveled by S-wave in the given time interval is given as
d = v t
inserting the above values in the formula
d = (8 km/sec) (780 sec)
d = 6240 km
the closest choice is 6000 km at option C
So Option C
Is A -2.268 did you actually multiply? Is easy