Answer:
The intercepts
Step-by-step explanation:
Given:
Required
Determine the intercepts
The equation is a linear equation and the intercepts of the equation is calculated as thus;
For x intercepts; substitute 0 for y
Add 1 to both sides
Divide both sides by 4
Simplify fraction to lowest term
For y intercept, substitute 0 for x
Subtract 5 from both sides
Divide both sides by 3
Reorder
Hence, the intercepts
Answer:
x = 6 cm
Step-by-step explanation:
The area is the product of length (x +2) and width (2x -5). It is 56 cm², so for all dimensions in cm, we can write ...
(x +2)(2x -5) = 56
2x² -x -66 = 0 . . . . . subtract 56 to put into standard form
(x -6)(2x +11) = 0 . . . . factor
Solutions to the equation are values of x that make the factors zero:
x = 6, x = -11/2
The negative solution is extraneous, so the solution of interest is ...
x = 6 cm
