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nignag [31]
1 year ago
5

31<9 and --3X = 4X = 15X = 12X = 11x = 18

Mathematics
1 answer:
JulsSmile [24]1 year ago
5 0

Given:

\frac{3x}{4}

Find: values belong to the solution

Explanation:

\begin{gathered} \frac{3x}{4}

and

\begin{gathered} -\frac{x}{6}\ge-3 \\ -x\ge-18 \\ x\leq18 \end{gathered}

so those values are solution which is x<12

i.e; x=4 and x=11

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In what ratio of line x-y-2=0 divides the line segment joining (3,-1)and (8,9)​
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Answer:

The ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) is in the ratio 2:3

Step-by-step explanation:

Let (x, y) be the coordinates of point of intersection.

Hence x=(a*8+1*3)(a+1) = (8a+3)/(a+1)

and

y = {a*9+1*(-1)}/(a+1)=(9a-1)/(a+1)

Since this point lies on the line x-y-2=0

Hence (8a+3)/(a+1)-(9a-1)/(a+1)-2=0

i.e. 8a+3–9a+1–2(a+1)=0

Or 8a+3–9a+1–2a-2=0

i.e.-3a+2=0

Hence a=2/3

hence the ratio in which the line x-y-2=0 divides the line joining A(3,-1) and B(8,9) in the ratio 2/3:1

i.e. 2:3

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