Answer: x=2.25
Step-by-step explanation:
-3x+10=5x-8
+3x +3x
10=8x-8
+8 +8
18=8x
18/8=8x/8
2.25=x
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
5x+29 = 45
5x = 16 (subtract 29 from both sides)
x = 16/5.
That is the answer, I don't know where you got the value of 5 but it doesn't make sense. To prove it, let's try put it into the equation:
5x5 + 29 =45
25 + 29 = 45
Wrong! 25 + 29 = 54.
Answer:
To find the volume of a composite 3D figure, draw any necessary planes to view the figure as basic three dimensional figures, then:
add basic figure volumes belonging to the composite shape.
subtract basic figure volumes NOT belonging to the composite figure.
Step-by-step explanation:
