The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
Y=3x+5
Step-by-step explanation:
If we take x = 1, according to the first function (the answer) y would be 8.
Other options:
—————
Formula 3:
Y= 2^x+5 == 7
Formula 4:
Y = x+8 == 9
True answer = 10.
——————
Ok, so the last one seems more accurate lets test the first and last one on two more numbers:
——————
X = 15
Formula 1:
50
Formula 4:
23
True answer = 60.
The first formula wins.
————————-
X= 10
Formula 1:
35
Formula 4:
18
True answer = 41
The first formula wins.
——————
So, we can see that the first formula is most accurate.
Answer:
r = 3/2
Step-by-step explanation:
ratio (r) is the number that, when multiplied by the previous (n-1) term, gives the nth term of the geometric sequence (). To find the common ratio, we can take any term and divide it by its preceding term (rearrange the formula to get ). If we take 24 and divide it by 16, we get the common ratio of 3/2 (, ).
Answer:
8 maybe
Step-by-step explanation:
My guess but if it is not Sorry
