Let P (x,y) be any point on the x-axis. Then clearly, for all position of P we shall the same ordinate 0 or, y = 0. Therefore, the equation of x-axis is y = 0. If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b.
Answer:
6
Step-by-step explanation:
Sum of first 4 numbers= 4*5= 20
This includes 3 + 4th number
Sum of last 4 numbers= 4*8= 32
This includes 4th number + 3
Sum of 7 numbers= 7*(6+4/7)= 46
This includes 3+4th number +3
Number common to both sets= (20+32)- 46 = 6
Answer:
A simplified/equivalent expression your equation would be - 8x + 10
Step-by-step explanation:
6(2x + 3) - 4(5x + 2)
Distribute:
= (6)(2x) + (6)(3) + (- 4)(5x) + (- 4)(2)
= 12x + 18 + - 20x + - 8
Combine Like Terms:
= 12x + 18 + - 20x + - 8
= (12x + - 20x) + (18 + - 8)
= - 8x + 10
Hope this helps!
From the total pool of colored balls, one can choose 2 reds, 2 blacks, 3 whites, and 2 blues in

ways.
I'm assuming no ball of the same color is distinguishable from any other ball of the same color. So when I'm considering the possible arrangements, if I had lined up the ball as
red1 - black - red2 - ...
then this would be no different that
red2 - black - red1 - ...
So I now have 9 balls to arrange, which means there are

total possible permutations of them. But order among distinct colors is assumed to not matter. This means I have to divide the total number of permutations by the number of ways I could permute balls of the same color. Then there would be a total of

ways of arranging the balls I had selected.