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NikAS [45]
3 years ago
12

 if xy=c^2, prove that x^2 dx/dy+c^2=0

Mathematics
1 answer:
tatyana61 [14]3 years ago
7 0
Hello,

xy=c²==>y=c²/x
==>y'=dy/dx=-c²/x²==>x² dy/dx+c²=0 (there is a mistake)

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Two acute triangles are similar. Which of the following must the similar triangle have?
abruzzese [7]
B is the only one that makes sense if you break them each down. An Acute doesnt have every Pair of angles congruent, the don't have to have proportional side lengths, and it can't have a right angle or it would be a right triangle.
7 0
3 years ago
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The circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. What is the
Nataly [62]

We have been given that the circular opening of an ice cream cone has a diameter of 7 centimeters. The height of the cone is 10 centimeters. We are asked to find the volume of the ice cream cone in cubic centimeters.

We will use volume of cone formula to solve our given problem.

V=\frac{1}{3}\pi r^2h, where,

r = Radius

h = Height.

We know that diameter is two times the radius, so radius of cone would be half the diameter that is \frac{7}{2} cm.

V=\frac{1}{3}\pi\cdot (\frac{7}{2}\text{ cm})^2\cdot 10\text{ cm}

V=\frac{1}{3}\pi\cdot \frac{49}{4}\text{ cm}^2\cdot 10\text{ cm}

V=\frac{490\pi }{12}\text{ cm}^3

V=128.2817\text{ cm}^3

Upon rounding to nearest tenth, we will get:

V\approx 128.3\text{ cm}^3

Therefore, the volume of the cone would be approximately 128.3 cubic cm.

8 0
3 years ago
Reduce -10/-5 dont know how too reduce
Agata [3.3K]

Answer:

-10/-5= 2 simply divide

2 negatives multiplied and/ or divided by is a positive number

5 0
2 years ago
What would be the answer? Or how do I solve it?
stellarik [79]

AB = √(8^2 + 6^2)

AB = √100

AB = 10

AC = √(8^2 + 15^2)

AC = √289

AC = 17

BC = 9

P= AB + AC + BC

P = 10 + 17 + 9

P = 36 units

34)

Area of ABC = 1/2 x 8 x 9

A = 36 square units

6 0
3 years ago
Three roots of a fifth degree polynomial function f(x) are -2,2 and 4 + i which statement describes the number and nature of all
liubo4ka [24]

Answer:

f(x) has three real roots and two imaginary roots.

Step-by-step explanation:

Given that three roots of a fifth degree polynomial function f(x) are -2,2 and (4+i).

Now we need to find about which of the given statements describes the number and nature of all roots for this function.

We know that imaginary roots always occur in conjugate pairs.

So if (4+i) is root then (4-i) must also be the root.

So now we have total 4 roots

-2, 2, (4+i) and (4-i).

Degree of the polynomial is 5 so that means 1 root is still remaining. It can't be imaginary as that must be in pairs

So that means 5th root is real.

Hence correct choice is :

f(x) has three real roots and two imaginary roots.

4 0
3 years ago
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