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Oliga [24]
3 years ago
8

Which of the following is equivalent to (5 /k) + ((k + 3) /(k + 5)) ?

Mathematics
2 answers:
Dafna11 [192]3 years ago
6 0

Answer:

E is the answer.

Step-by-step explanation:

Mars2501 [29]3 years ago
4 0
\frac{5}{k}+\frac{k+3}{k+5}=\frac{5(k+5)}{k(k+5)}+\frac{k(k+3)}{k(k+5)}=\frac{5k+25+k^2+3k}{k(k+5)}=\frac{k^2+8k+25}{k(k+5)}\\\\Answer:E
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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
The weight of a piece of raw silk that is 100 yards long by 1.25 yards wide (standard width) is about 38 pounds. The weight of a
butalik [34]

The total weight of the two pieces together is 6 pounds.

<h3>How much would the two pieces weigh together?</h3>

A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.

Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:

M = (12.5/100)*38lb = 4.75 lb

And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.

Then, a piece that is 12.5 yards long will weigh:

M' = (12.5/100)*12lb = 1.5 lb

If we add these two, we get a total weight of:

M + M' = 4.5lb + 1.5lb = 6lb

The total weight of the two pieces together is 6 pounds.

If you want to learn more about weight:

brainly.com/question/11408596

#SPJ1

5 0
1 year ago
Luke receives an electric bill of $84.21\$84.21$84.21 for the month of April. The electric company charges $0.14\$0.14$0.14 per
tigry1 [53]

Answer:

The answer would be 20.05 hours per day.



4 0
3 years ago
Read 2 more answers
Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
raketka [301]

Answer:

93.5ft

Step-by-step explanation:

7 0
2 years ago
Need help on this one I really don’t get this
Sophie [7]
Its 0 cause 0 divided by any number is 0 but if it was 15/0, then it would be undefined
3 0
2 years ago
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