2.75+.003+.158=0
We simplify the equation to the form, which is simple to understand
2.75+.003+.158=0
We move all terms containing to the left and all other terms to the right.
0=0-2.75-0.003-0.158
We simplify left and right side of the equation.
0=-2.911
0=-2.911
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
24 mm^2
Reasoning:
The area of the big triangle will be: (6+4+2)(5)(0.5). The answer will be equal to 30 mm^2. The area of the smaller triangle will be: (4)(3)(0.5). The answer will be 6 mm^2. Next, subtract the area of the larger triangle by the smaller triangle (30-6). The final answer will then be 24mm^2.
Sorry if this may have been confusing. I had to do this on my phone.
Answer:
Step-by-step explanation:
Givens
x = the larger number
y = the smaller number
Equations
x+y =95
x + 2y = 120
Solution
x+y =95
x + 2y = 120
x + y = 95 Subtract
y = 25
x + y = 95
x + 25 = 95
x + 25 -25 = 95 - 25
x = 70
===============
I did the problem before I realized that I could have stopped after equations.
The answer is the middle choice.
Answer : 56 possible combinations
All you have to do to solve this is find the amount of different options (8) and the spaces allowed (7) and multiply them.
7 x 8 = 56
Given:
The equation
goes through the coordinates (6,5) and (-2,-5).
To find:
The values of A and B.
Solution:
We have,
![Ax+By=10](https://tex.z-dn.net/?f=Ax%2BBy%3D10)
It goes through the coordinates (6,5) and (-2,-5). It means these points will satisfy the equation.
![A(6)+B(5)=10](https://tex.z-dn.net/?f=A%286%29%2BB%285%29%3D10)
...(i)
![A(-2)+B(-5)=10](https://tex.z-dn.net/?f=A%28-2%29%2BB%28-5%29%3D10)
...(ii)
Adding (i) and (ii), we get
![(6A+5B)+(-2A-5B)=10+10](https://tex.z-dn.net/?f=%286A%2B5B%29%2B%28-2A-5B%29%3D10%2B10)
![4A=20](https://tex.z-dn.net/?f=4A%3D20)
Divide both sides by 4.
![A=5](https://tex.z-dn.net/?f=A%3D5)
Put A=5 in (i), we get
Divide both sides by 5.
![B=-4](https://tex.z-dn.net/?f=B%3D-4)
Therefore, the values of A and B are 5 and -4 respectively.