I. The value of x is equal to 8.
II. The dimensions of the rectangle are 13 and 5 inches respectively.
<u>Given the following data:</u>
- Area of a rectangle = 65 square inches.
- Length of rectangle = x + 5 inches
- Width of rectangle = x - 3 inches
To find the value of x, and the dimensions of the rectangle:
Mathematically, the area of a rectangle is given by the formula:

Substituting the values, we have:

x = 8 or x = -10
<u>For the</u><u> length:</u>
when x = 8

Length = 13 inches.
<u>For the</u><u> width:</u>
when x = 8

Length = 5 inches.
Find more information: brainly.com/question/11037225
The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:
f(-1) = -(-1) + 1
f(-1) = 2 ✓
Answer:
70 is the least common multiple of 10 and 7
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
Grace wove a potholder with an area of 80 square inches. The lengths and widths of the sides are whole numbers. Which dimensions make the most sense for a potholder?
Since the Area of the potholder = 80 sq inch
And the dimension of the potholder ; length and width are integers ; Hence, possible dimensions could be ;
Area = length × width
80 = length × width
(80, 1), (40, 2), (20, 4), (10, 8), (16, 5)
Potholders are fabrics sewn from the purpose of being used to handle pots and other kitchen equipments.
Usually the dimension are usually close, hence, the most sensible dimension a potholder with an area of 80 sq inch could have is 8 by 10 or vice-versa.