The rule for this one is called the difference of squares
A^2 - b ^2 = (a+b)(a-b)
Using this rule
N^2 - 62 = (n+ sqrt(62)) (n - sqrt(62))
The solution for this one is to make the statement = 0
0 = (n+ sqrt(62)) (n - sqrt(62))
N can either be +- sqrt(62)
X represents (smaller) angle 1, y represents (larger) angle 2:
180 = x + y
y = 6x + 5
180 = x + y
180 = x + (6x + 5)
180 = 7x + 5
175 = 7x
25 = x
180 = 25 + y
155 = y
the smaller angle (x) is 25 degrees.
To solve that we first need to write it as an equation where x is the number:
85 + x^2 = (x-17)^2
85 + x^2 = x^2 - 34x + 289
Now organize the equation by gathering like terms in the same side lf the equation:
You can shift 85 to the other side by subtracting 85 from both sides of the equation:
85 - 85 + x^2 =x^2 34x +289 - 85
x^2 =x^2 + 34x +204
And shift x^2 to the other side by subtracting x^2 from both sides:
x^2 - x^2 =x^2 -x^2 + 34x +204
0 = 34x + 204
Shift 34x to the other side by subtracting 34x from sides
-34x = 34x - 34x + 204
-34x = 204
And now isolate x by dividing both sides of the equation by -34
-34/-34x = 204/-34
x = -6
Thats your awnser , the number is -6
I hope you understood my brief explanation...
Answer:
Mean: 14
Step-by-step explanation:
(44+63-17+28-30-24+19+51-8)/9 = 126/9
= 14
Answer:
18,646
Step-by-step explanation:
>you can graph the equation on a calculator and see that the minimum is at the point (250, 18646) , so the minimum unit cost is 18,646
>you can use the first derivative to find the minimum
c'(x) = (0.2x²-100x+31,146)' = .4x -100
.4x-100= 0 , so x= 250
c(x=250) = 0.2(250)² -100*250 +31,146 =18,646
