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3 years ago

Which of the following statements best describes a theorem?

Mathematics

1 answer:

Ira Lisetskai [31]3 years ago

8 0

Answer:

Step-by-step explanation:

Definition: a general proposition not self-evident but proved by a chain of reasoning; a truth established by means of accepted truths.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Alex_Xolod [135]

Answer:

what are the choices

Step-by-step explanation:

8 0

3 years ago

Find the area of this trapezoid. Area = _______ square units. Round to the nearest whole number.

fredd [130]

Answer:

119 square units

Step-by-step explanation:

To find the area of a trapezoid, use this formula: (a+b)/2 * h

Substitute 24, 10, and 7 for a, b, and h, respectively.

((24 + 10)/2) * 7

Step 1: Add 24 and 10 to get 34.

(34/2) * 7

Step 2: Divide 34 by 2 to get 17.

17 * 7

Step 3: Multiply 17 by 7 to get 119

119

The area of this trapezoid is 119 square units.

4 0

2 years ago

Read 2 more answers

Show that ( 2xy4 + 1/ (x + y2) ) dx + ( 4x2 y3 + 2y/ (x + y2) ) dy = 0 is exact, and find the solution. Find c if y(1) = 2.

fredd [130]

$\dfrac{\partial\left(2xy^4+\frac1{x+y^2}\right)}{\partial y}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

$\dfrac{\partial\left(4x^2y^3+\frac{2y}{x+y^2}\right)}{\partial x}=8xy^3-\dfrac{2y}{(x+y^2)^2}$

so the ODE is indeed exact and there is a solution of the form $F(x,y)=C$ . We have

$\dfrac{\partial F}{\partial x}=2xy^4+\dfrac1{x+y^2}\implies F(x,y)=x^2y^4+\ln(x+y^2)+f(y)$

$\dfrac{\partial F}{\partial y}=4x^2y^3+\dfrac{2y}{x+y^2}=4x^2y^3+\dfrac{2y}{x+y^2}+f'(y)$

$f'(y)=0\implies f(y)=C$

$\implies F(x,y)=x^2y^3+\ln(x+y^2)=C$

With $y(1)=2$ , we have

$8+\ln9=C$

$\boxed{x^2y^3+\ln(x+y^2)=8+\ln9}$

8 0

3 years ago

What are the coordinates for (6,5) and hypotenuse 3.

galina1969 [7]

Answer:

the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.

Step-by-step explanation:

4 0

2 years ago

5 cm 5 cm 3 cm 6 cm 5cm What is the volume of the prism

Keith_Richards [23]

volume of prism =area of Base ×height

7 0

3 years ago