Answer:
Length 37 cm, width 25 cm.
Step-by-step explanation:
Let the original dimensions be length x and width x - 12 cms.
The new dimensions will be length (x - 2) and width (x - 12 - 2) = x-14 cm.
So , from the areas, we have:
x(x - 12) - (x - 2)(x - 14) = 120
x^2 - 12x - (x^2 - 16x + 28) = 120
-12x + 16x - 28 = 120
4x = 148
x = 37 cms
So the length was 37 cm and the width was 37-12 = 25 cm.
Answer:
18
Step-by-step explanation:
Delta math
Given:
The two points C(2,-1) and D(5,3) on a coordinate plane.
To find:
The distance from C to D.
Solution:
The distance between two points is defined by the distance formula.

The two points are C(2,-1) and D(5,3). Using the distance formula, we get



On further simplification, we get



The distance from point C to D is 5 units. Therefore, the correct option is A.
Answer:
Step-by-step explanation:
The number of riders decreased.
1 → B
multiply each term in the parenthesis by the 6 outside
6(b-7) = 6b - 42
2 → D
multiply each term in the parenthesis by the 3 outside
3(4x+6y+2) = 12x+18y+6
3 → A
the value outside the parenthesis is -1, hence each term inside is multiplied by -1
-1(6x+5y) = -6x -5y