Answer:
Option D) x = 2
Step-by-step explanation:
(4-2)(x-2) = 4x - 8
Distribute and simplify 4-2
2(x-2) = 4x - 8
2x-4 = 4x -8
Subtract 2x on both sides and add 8 on both sies
4x - 8 = 2x-4
2x= 4
Divide 2 on both sides
x = 2
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Answer: 85 pages
cross multiply 60 x 17 = 1020 / 12 = 85
17 85
— = —
12 60
Answer:
The same number was not added to both sides.
Step-by-step explanation:
The same number was not added to both sides.
In line 2, 6 was added to the left side and 78 was added to the right side.
The distance between a point

on the given plane and the point (0, 2, 4) is

but since

and

share critical points, we can instead consider the problem of optimizing

subject to

.
The Lagrangian is

with partial derivatives (set equal to 0)




Solve for

:


which gives the critical point

We can confirm that this is a minimum by checking the Hessian matrix of

:


is positive definite (we see its determinant and the determinants of its leading principal minors are positive), which indicates that there is a minimum at this critical point.
At this point, we get a distance from (0, 2, 4) of
Answer:
y=57, x=77
Step-by-step explanation:
The line that creates x-3 is parrelell to the line that makes 74 degrees
You know that x-3=74
When you simplify you get x=77
Now that you know that x-3=74 you can add all the angles to 180 because they are a supplementary angle
74+41+(y+8)=180, then simplify
115+y+8=180, simplify more
123+y=180
y=57