2n/3+25/6 I simplified the question if that is what you wanted me to do.
Answer:
63 m^2
Step-by-step explanation:
The figure appears to be a parallelogram.
area of parallelogram = base * height
Use the 14-m side as the base. Then the height is the perpendicular distance between the two opposite 14-m sides, so the height is 4.5 m.
area = base * height
area = 14 m * 4.5 m
area = 63 m^2
P.S. The choices are given in square meters (m^2), which is a unit of area, not in meter times square root of 2 "m sqrt(2)."
Answer: 12.25 and 20.25
Step-by-step explanation:
20.25 - 12.25 = 8
Square root of 20.25 is 4.5
Square root of 12.25 is 3.5
4.5 - 3.5 = 1
Hope this helped
Answer:
<u>There is no doubt that the constant rate of change is 47 in the y-axis (Total Savings) for a new value in the x-axis (Number of weeks). The correct answer is A. 47.</u>
Step-by-step explanation:
1. Let's review the trend that the graph is showing us:
(0, 0 )
(1, 47)
(2, 94)
(3, 141)
(4, 188)
(5, 235)
(6, 282)
(7, 329)
(8, 376)
(9, 423)
(10, 470)
<u>There is no doubt that the constant rate of change is 47 in the y-axis (Total Savings) for a new value in the x-axis (Number of weeks). The correct answer is A. 47.</u>
Answer:
<h2>14mph</h2>
Step-by-step explanation:
Given the gas mileage for a certain vehicle modeled by the equation m=−0.05x²+3.5x−49 where x is the speed of the vehicle in mph. In order to determine the speed(s) at which the car gets 9 mpg, we will substitute the value of m = 9 into the modeled equation and calculate x as shown;
m = −0.05x²+3.5x−49
when m= 9
9 = −0.05x²+3.5x−49
−0.05x²+3.5x−49 = 9
0.05x²-3.5x+49 = -9
Multiplying through by 100
5x²+350x−4900 = 900
Dividing through by 5;
x²+70x−980 = 180
x²+70x−980 - 180 = 0
x²+70x−1160 = 0
Using the general formula to get x;
a = 1, b = 70, c = -1160
x = -70±√70²-4(1)(-1160)/2
x = -70±√4900+4640)/2
x = -70±(√4900+4640)/2
x = -70±√9540/2
x = -70±97.7/2
x = -70+97.7/2
x = 27.7/2
x = 13.85mph
x ≈ 14 mph
Hence, the speed(s) at which the car gets 9 mpg to the nearest mph is 14mph
