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steposvetlana [31]
3 years ago
8

What is the answer to x over 12=27?

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0
324=x
X/12=27 so you multiply both sides by 12
So 12*27=324=x
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Plz help!I hope you have a wonderful day!!
Fantom [35]
18. It would be the second graph. The third graph is eliminated as the boy takes a time period to shave, which means there should be a constant point (horizontal line) right after the first incline. The first one is eliminated as the boy takes a bath which requires another constant point in the graph.

19.
C
E
D
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B
8 0
3 years ago
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
Does this graph represent a function? Why or why not?
saw5 [17]
No because it does not pass the vertical line test,
meaning that a single vertical line could pass through multiple points on the graph.
7 0
3 years ago
URGENT!! DUE IN 15 MIN!!<br> *don't mind the answer I chose*
prisoha [69]
I think its D but im not sure
8 0
3 years ago
Read 2 more answers
Two cars leave a town at the same time heading in opposite directions. One car is traveling 12 mph faster than the other. After
Fantom [35]
One is going 52 and the other 64
2 (x)+2 (x+12)=232 and solve
5 0
3 years ago
Read 2 more answers
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