Answer:
The cost of traveling 25km would be $3000.
You can travel 35 km for $4200.
Step-by-step explanation:
Consider the provided information.
For 30km cost $3,600.
30 km = $3600
Divide both sides by 30.
....(1)
The cost of 1 km is $120.
Part (A) what would be the cost of traveling 25km
Multiply both the sides of equation 1 by 25.
25 km = 3000
Hence, the cost of traveling 25km would be $3000.
Part(B) How far could you travel for $4,200?
Divide 4200 by 120.
Hence, you can travel 35 km for $4200.
Answer:
Line CB
Step-by-step explanation:
We know the smallest triangle is the left triangle, so you need to find the smallest angle in that triangle, which is 50 degrees as shown, and the opposite side to that, CB, is the smallest side.
Step-by-step explanation:
Brackets is the bigger version of parentheses, you first solve the questions inside the parentheses, then move onto brackets.
For example, this question:
![5x-y[7-4(z-y)]](https://tex.z-dn.net/?f=5x-y%5B7-4%28z-y%29%5D)
<u>plug in x, y, and z.</u>
![5(-1)-(-2)[7-4(3-(-2))]](https://tex.z-dn.net/?f=5%28-1%29-%28-2%29%5B7-4%283-%28-2%29%29%5D)
![5(-1)-(-2)[7-4(5)]](https://tex.z-dn.net/?f=5%28-1%29-%28-2%29%5B7-4%285%29%5D)
![5(-1)-(-2)[7-20]](https://tex.z-dn.net/?f=5%28-1%29-%28-2%29%5B7-20%5D)
![5(-1)-(-2)[-13]](https://tex.z-dn.net/?f=5%28-1%29-%28-2%29%5B-13%5D)
![-5-(-2)[-13]](https://tex.z-dn.net/?f=-5-%28-2%29%5B-13%5D)
I hope you understand better now.
Answer:
Step-by-step explanation:
There are several ways to solve this quartic equation. But since the coefficients, they repeat a=1,b=2,c=1,d=2, but e=0, and they are multiple of each other, then it is more convenient to work with factoring as the method of solving it.
As if it was a quadratic one.
![x^{4}-2x^{3}- x^{2} + 2x = 0\\x(x^{3}-2x^{2}-x+2)=0 \:Factoring \:out\\x[(x^{3}-2x^{2})+(-x+2)]=0 \:Grouping\\x[\mathbf{x^{2}}(x-2)+\mathbf{-1}(x+2)]=0 \:Rewriting\:the\:first\:factor\\x(x^{2}-1)(x-2)\:Expanding \:the \:first \:factor\\x(x-1)(x+1)(x-2)=0\\x=0,x=1,x=-1,x=2\\S=\left \{ 0,-1,1,2 \right \}](https://tex.z-dn.net/?f=x%5E%7B4%7D-2x%5E%7B3%7D-%20x%5E%7B2%7D%20%2B%202x%20%3D%200%5C%5Cx%28x%5E%7B3%7D-2x%5E%7B2%7D-x%2B2%29%3D0%20%5C%3AFactoring%20%5C%3Aout%5C%5Cx%5B%28x%5E%7B3%7D-2x%5E%7B2%7D%29%2B%28-x%2B2%29%5D%3D0%20%5C%3AGrouping%5C%5Cx%5B%5Cmathbf%7Bx%5E%7B2%7D%7D%28x-2%29%2B%5Cmathbf%7B-1%7D%28x%2B2%29%5D%3D0%20%5C%3ARewriting%5C%3Athe%5C%3Afirst%5C%3Afactor%5C%5Cx%28x%5E%7B2%7D-1%29%28x-2%29%5C%3AExpanding%20%5C%3Athe%20%5C%3Afirst%20%5C%3Afactor%5C%5Cx%28x-1%29%28x%2B1%29%28x-2%29%3D0%5C%5Cx%3D0%2Cx%3D1%2Cx%3D-1%2Cx%3D2%5C%5CS%3D%5Cleft%20%5C%7B%200%2C-1%2C1%2C2%20%5Cright%20%5C%7D)
Answer: 19.5
Step-by-step explanation:
Use Pythagorean theorem to find the diagonal as it is a right triangle.
