Jack bought a car for $17,500. The car loses $750 in value each year. Which equation represents the situation? Question 9 option
2 answers:
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Answer:
The system of equations has a one unique solution
Step-by-step explanation:
To quickly determine the number of solutions of a linear system of equations, we need to express each of the equations in slope-intercept form, so we can compare their slopes, and decide:
1) if they intersect at a unique point (when the slopes are different) thus giving a one solution, or
2) if the slopes have the exact same value giving parallel lines (with no intersections, and the y-intercept is different so there is no solution), or
3) if there is an infinite number of solutions (both lines are exactly the same, that is same slope and same y-intercept)
So we write them in slope -intercept form:
First equation:
second equation:
So we see that their slopes are different (for the first one slope = -6, and for the second one slope= -3/2) and then the lines must intercept in a one unique point. Therefore the system of equations has a one unique solution.
Answer:
Volume of this cylinder = 785.71 Cm³
Surface area of this cylinder = 157.14 Cm²
Step-by-step explanation:
Given:
Height of cylinder = 10 Cm
Radius of cylinder = 10 / 2 = 5 Cm
Find:
Volume of this cylinder.
Surface area of this cylinder
Computation:
Volume of this cylinder = πr²h
Volume of this cylinder = (22/7)(5)²(10)
Volume of this cylinder = 785.71 Cm³
Surface area of this cylinder = 2πr(h+r)
Surface area of this cylinder = 2(22/7)(5)(10+5)
Surface area of this cylinder = 2(22/7)(5)(15)
Surface area of this cylinder = 157.14 Cm²
