The graph represented in the figure shows a set of linear equations each of which is represented a straight line.
Step-by-step explanation:
System of Equation can be referred to as an assortment of equations to be dealt with. Common examples include linear equations and non-linear equations such as a parabola, hyperbola etc.
Linear set of equations are the most simple of equation depicting a linear relationship between two variables.
E.g. Y=4x+3
here y and x share a linear relationship which is defined by the straight-line graph "4x+3"
Similarly in the graph lines, two straight lines are depicted which symbolises that the et of the equation is linear in character.
Answer:
Volume of a cylinder = 549.5 cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
Where,
π = 3.14
Radius, r = 5 cm
Height, h = 7 cm
Volume of a cylinder = πr²h
= 3.14 * (5 cm)² * 7 cm
= 3.14 * 25 cm² * 7 cm
= 549.5 cm³
Volume of a cylinder = 549.5 cm³
Answer:
98
Step-by-step explanation:
ABSOLUTE BRACKETS MEAN ABSOLUTE VALUE- this means that negatives will come out as positives since their absolute values are the same. So |-9| is just 9.
|-81-17| (apply the rule I just gave you)
|81+17|
98
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
Answer:
3m+3p
Step-by-step explanation:
Sum of m and p is expressed as;
m + p (sum means addition)
If 3 is multiplied by the sum, this is expressed as;
3(m+p)
Expand
3m + 3p
Hence the required expression is 3m+3p
