Answer:
-17/5 is we are finding the slope slope of a line containing points:
(1,-6) and (-4,11).
Step-by-step explanation:
Line them up and subtract vertically, then put 2nd difference over first difference.
So you can do it like route 1 or 2 listed below:
Route 1)
( 1 , -6)
- (-4 , 11)
------------
Route 2)
(-4 , 11)
- (1 , -6)
-------------
Let's do Route 1 first:
( 1 , -6)
-(-4 , 11)
------------
5 -17
So the slope is -17/5.
Route 2:
(-4 , 11)
-( 1 ,-6)
------------
-5 17
So the slope is 17/-5 or -17/5 which is what we got doing it route 1 way.
So it doesn't matter which point you put on top.
You could also use this formula directly which is what we did without really stating it:
or 
.
So using this formula directly, you could do either:
or 
So first way gives 17/-5 whereas the second way gives -17/5.
You get the same number either way.
Answer:
Step-by-step explanation:
Given
Required
Complete the square
Rewrite so that 
has 1 coefficient
Take half of the coefficient of x
Square the result
Add and subtract the result in the bracket
Expand the bracket to remove -4
Expand the bracket
Factorize
Factor out x - 2
Express as square
65000 is the answer since you have to round to the nearest thousands
Area of rectangle = length x width
Perimeter of rectangle = 2 x (length + width)
Now we know that perimeter of rectangle = 16
2(length + width) = 16
Length + width = 16/2
Length + width = 8
Now the value of length and width is that if we add both
values we have the answer 8.
So, here are some possible values of length and width and
also that length and width are odd numbers;
Odd numbers are = 1,3,5,7,….
7 + 1 = 8
5 + 3 = 8
So, either length is 7 and with is 1 or length is 5 and
width is 3
So area of rectangle = 7 x 1 = 7 or 5 x 3 = 15
Thus, the possible values of area of rectangle are 7 ft² and 15 ft².
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