Ans: Cramer's rule uses determinants instead of the inverse to solve linear systems of equations. Its major disad- vantage is that you can only solve for one variable at a time - this is why most computer programs do not use this rule to solve systems of equations.
Answer: (9, -11) ==> point B
Step-by-step explanation:
(4, -3)-(-1, 5)=
(4-(-1), -3-5)=
(4+1, -8)=(5, -8)
(5, -8)+(4,-3)=
(5+4, -8-3)=(9, -11) ==> point B
Answer:
$28.50
Step-by-step explanation:
Lou needed to add ...
13 - 5.5 = 7.5
gallons to the tank.
The cost of that gas was ...
($3.80/gal)×(7.5 gal) = $28.50
Lou spent $28.50 filling the gas tank.
Answer:
The rectangular prism has the greatest surface area
Step-by-step explanation:
Verify the surface area of each container
case A) A cone
The surface area of a cone is equal to
we have
----> the radius is half the diameter
substitute the values
case B) A cylinder
The surface area of a cylinder is equal to
we have
----> the radius is half the diameter
substitute the values
case C) A square pyramid
The surface area of a square pyramid is equal to
![SA=b^{2} +4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
we have
----> the length side of the square
----> the height of the triangular face
substitute the values
![SA=6^{2} +4[\frac{1}{2}(6)(10)]=156\ in^{2}](https://tex.z-dn.net/?f=SA%3D6%5E%7B2%7D%20%2B4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%2810%29%5D%3D156%5C%20in%5E%7B2%7D)
case D) A rectangular prism
The surface area of a rectangular prism is equal to
![SA=2b^{2} +4[bh]](https://tex.z-dn.net/?f=SA%3D2b%5E%7B2%7D%20%2B4%5Bbh%5D)
we have
----> the length side of the square base
----> the height of the rectangular face
substitute the values
![SA=2(6)^{2} +4[(6)(10)]=312\ in^{2}](https://tex.z-dn.net/?f=SA%3D2%286%29%5E%7B2%7D%20%2B4%5B%286%29%2810%29%5D%3D312%5C%20in%5E%7B2%7D)
Answer:
12 miles
Step-by-step explanation:
Turn the minutes into hours. 60 minutes in 1 hour
360/60 = 6
Times the answer by 2 because he traveled two miles PER hour
6*2 = 12 miles
