A consistent system of equations is a system with intersecting lines and lines that have the same equation.
A consistent system is the system of equations with at least one solution or infinite number of solutions.
So , the intersecting lines will always have a solution and the lines with the same equation will have infinite number of solution.
The graph of a system of equations with different slopes will have no solutions. Correct option in "Never"
If the system of equations have different slopes then the equations are not parallel, hence the equations will always have a solution.
Step-by-step explanation:
3 + 3(k + 3) = 6(k - 2) + 9
3 + 3k + 9 = 6k - 12 + 9
12 + 12 - 9 = 6k - 3k
15 = 3k
k = 15/3
k = 5
Hi try
0.067
Explanation
6.7% = 0.067 in decimal form. Percent means 'per 100'. So, 6.7% means 6.7 per 100 or simply 6.7/100. If you divide 6.7 by 100, you'll get 0.067
14. The distance between the two points is 14.866.
Distance can be calculated with the following formula:
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(12-2)²+(5-(-6))²
d=√10²+11²
d=√100+121
d=√221
d=14.866
15. The distance between the two points is 20.248.
Use the same formula to find the distance.
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(4-(-3))²+(12-(-7))²
d=√7²+19²
d=√49+361
d=√410
d=20.248
