3x + 2y = 4
2y = -3x + 4
Divide by 2
Solution: y = -3/2x + 2
x + 2y = -4
2y = -x - 4
Divide by 2
Solution: y = -1/2x - 2
Answer:
Scale factor of cube to the smaller cube is 5 : 3.
Step-by-step explanation:
Ratio of the volumes of two cubes = 
= 
= 
Scale factor of these cubes = ![\sqrt[3]{\text{ratio of the volumes of the cubes}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Ctext%7Bratio%20of%20the%20volumes%20of%20the%20cubes%7D%7D)
= ![\sqrt[3]{\frac{\text{volume of large prism}}{\text{Volume of small prism}}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B%5Ctext%7Bvolume%20of%20large%20prism%7D%7D%7B%5Ctext%7BVolume%20of%20small%20prism%7D%7D%7D)
= ![\sqrt[3]{\frac{125}{27} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cfrac%7B125%7D%7B27%7D%20%7D)
= 
= 5 : 3
Therefore, scale factor of cube to the smaller cube is 5 : 3.
Answer:
C
Step-by-step explanation:
2|6+p|-3p³,
when p=-2
2|6+p|-3p³=2|6-2|-3(-2)³
=2(4)-3(-8)
=8+24
=32
Answer:
350 feet per minute
Step-by-step explanation:
The amount of time it took the plane to descend is 3 hours 14 minutes minus 1 hour 30 minutes.
This means it took 104 minutes for the plane to descend 36,400 feet.
Dividing 36400 by 104, you get 350 which is the average rate of descent in feet per minute.