X = 2y + 7 ...............(1)
2x + 2y = 200 ........(2)
Substituting the expression for x in equation (1) into equation (2) gives
2(2y + 7) + 2y = 200 .....(3)
Equation (3) simplifies to
6y = 186
Therefore y = 31 feet.
Substituting the value for y into (1) gives
x = 69 feet.
Answer:
x=1
Step-by-step explanation:
Answer:
![y = -\frac{1}{4} + \frac{11}{2}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B11%7D%7B2%7D)
Step-by-step explanation:
use y = mx + b where:
y = y-coordinate = 6
m = slope = -1/4
x = x-coordinate = -2
b = y-intercept = what we're solving for to complete the equation
plug the values into the equation
multiply
and 2
subtract
from both sides
![b = \frac{11}{2}](https://tex.z-dn.net/?f=b%20%3D%20%5Cfrac%7B11%7D%7B2%7D)
now we plug m and b into the equation and leave x and y as variables to get the final equation:
![y = -\frac{1}{4} + \frac{11}{2}](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B11%7D%7B2%7D)
Answer:
Consider the following calculations
Step-by-step explanation:
Since 1 Blimp uses 2 components of B and C each
=> choosing 2 components of B(remaining after using in other prototypes) for 1st model= 22C2
choosing 2 components of B(remaining after using in other prototypes) for 2nd model= 21C2
choosing 2 components of B(remaining after using in other prototypes) for 3rd model= 20C2
choosing 2 components of B(remaining after using in other prototypes) for 4th model= 19C2
choosing 2 components of B(remaining after using in other prototypes) for 5th model= 18C2
and choosing 2 components of C(remaining after using in other prototypes) = 24C2
Similarly for C
P(5 prototypes of Blimp created)=[(22C2 / 25C2 )*(24C2 / 25C2 )] + [(21C2 / 25C2 )*(23C2 / 25C2 )]+[(20C2 / 25C2 )*(22C2 / 25C2 )]+[(19C2 / 25C2 )*(21C2 / 25C2 )]+[(18C2 / 25C2 )*(20C2 / 25C2 )]