Answer:
c
Step-by-step explanation:
ABCD is a rectangle so the diagonals are equal
AC = BD
3(x - 2) = x + 18
3x - 6 = x + 18
2x = 24
x = 12
AC = 3(x - 2) = 3(12 - 2) = 3(10) = 30
BD = x + 18 = 12 + 18 = 30
Answer
AC = BD = 30
If Car A's speed is x, then Car B's speed is x-22. Using the formula, we get that the distance is the same in both, so 4*(x-22)=D and 2.4*x=D due to that we plug 2.4 and 4 in for T and x-22 and x for R. Since they both equal D, we can write it as 2.4*x=4*(x-22). Using the distributive property, we get 4*(x-22)=4x-88=2.4*x. Subtracting 2.4*x from both sides as well as adding 88, we get 1.6*x=88. Dividing both sides by 1.6, we get 88/1.6=55= x=Car A's speed
Answer: The correct option is (2) (a, b).
Step-by-step explanation: We are given to find the co-ordinates of the point 'P' for the rectangle shown in the figure without using any new variable.
Since we are dealing with a rectangle, so each of its angle is a right angle. Hence, each side of the given rectangle is perpendicular to its adjacent side.
Also, the distance of a point from a line is the length of the perpendicular drawn from the point to the line.
So, we can see from the attached figure below that
Point 'P is at a distance of 'b' units from X-axis and 'a' units from Y-axis.
The distance of a point 'P' from Y-axis is its x co-ordinate the distance of 'P' from X-axis is its y co-ordinate.
Therefore, the co-ordinates of the point P will be
(distance of P from Y-axis, distance of P from X-axis)
= (a, b).
Thus, the correct option is (2) (a, b).