Answer:
L = 2x^2
Step-by-step explanation:
Let's identify our terms and formulas first.
A is Area, W is Width, and L is Length. The formula for area is A = L * W
If A = x^3 - 4x^2, and W = x - 4, the we can substitute both of them into the formula for Length, L = A/W.
L = (x^3 - 4x^2)/(x-4)
Now, we start simplifying! Take the "x-4" out of the numerator, and it cancels with the one in the denominator. This leaves us with a simple 2x^2 in the numerator and a 1 in the denominator.
Our final answer is L(ength) = 2x^2
Hope this helps!
-Lacy
The formula for the total sum of the inner angles of the polygon is
Sn= (n-2) 180°
1) S6= (6-2) 180 = 4*180 = 720° In the hexagon all angles are equal
α= S6/6= 720/6= 120°
2) In each polygon the sum of the external angles is 360°
3) S5= (5-2) 180 = 540° than we can add up all angles
x+131+108+107+110=540 => x= 540-456= 84°
4) α = 360/5=72°
Good luck!!!
Using the Central Limit Theorem, it is found that the standard deviation is of 0.0971.
<h3>What does the Central Limit Theorem states?</h3>
- It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation 
, as long as 
and 
.
- It also states that when two variables are subtracted, the standard deviation is the square root of the sum of the variances.
In this problem, for each sample, the standard error is given by:
Hence, for the distribution of differences, it is given by:
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
Plug the values into the second equation to see if they end up equaling 0.
-4: 2(-4)^2 - 6(-4) - 8 = 0
2(16) + 24 - 8 = 0
32 + 16 = 0
Not -4
-1: 2(-1)^2 - 6(-1) - 8 = 0
2 + 6 - 8 = 0
8 - 8 = 0
0 = 0
Yes -1
0: 2(0)^2 - 6(0) - 8 = 0
0 - 0 - 8 = 0
Not 0
1: 2(1)^2 - 6(1) - 8 = 0
2 - 6 - 8 = 0
-12 = 0
Not 1
4: 2(4)^2 - 6(4) - 8 = 0
2(16) - 24 - 8 = 0
32 - 32 = 0
0 = 0
Yes 4
————
Or use the quadratic equation ( - b +/- sqrt( b^2 - 4ac)) / 2a
————
a would be 2–
b would be -6–
& c is -8
Answer:
Step-by-step explanation:
m = 2 ; x1 = -3 ; y1 = -1
Slope- point form: y - y1 = m(x -x1)
y - [-1] = 2(x - [-3])
y + 1 = 2(x + 3)
y + 1 = 2x + 3*2
y + 1 =2x + 6
y = 2x + 6 - 1
y = 2x + 5 This is slope intercept form : y = mx + b
