Answer:
Step-by-step explanation:
let 4th fourth vertex be D (x,y)
A(2 1/3,7 1/2),B(12, 7 1/2),C(12,1)
or A(7/3,15/2),B(12,15/2),C(12,1)
Mid-point of diagonal AC is P((7/3+12)/2,(15/2+1))
Mid -point of diagonal BD is P((12+x)/2,(15/2+y)/2)
(Because mid -point of diagonal is same.)
(12+x)/2=(7/3+12)/2
12+x=7/3+12
x=7/3
(15/2+1)/2=(15/2+y)/2
15/2+1=15/2+y
y=1
so fourth vertex is (7/3,1)
256 x 3 is uhh 768 so it would be 2 of the 128 sticks
The table and the plotted data are in the attachment.
Answer and Step-by-step explanation: A line of best fit is the best approximation of the given data. It is used to show the relation of two variables and it can be determined, more accurately, by the Least Square Method.
To use the method, follow the steps:
1) Calculate the mean of the two variables:

2) The Slope of the line is given by:

3) The y-intercept is found by the formula:

For the ripening of bananas, the least square method gives the line:
y = -0.142x + 5.56
The rate of change of a line equation is its slope, so
Rate of change = -0.14
The rate of change of ripening time with respect to exposure time is -0.14, which means the more expose the fruit is, the less time it needs to ripe.
Answer:
42
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2x³ - x² - 4x + 9
x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: 2(3)³ - 3² - 4(3) + 9
- Exponents: 2(27) - 9 - 12 + 9
- Multiply: 54 - 9 - 12 + 9
- Subtract: 45 - 12 + 9
- Subtract: 33 + 9
- Add: 42
the answer would've been A.