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3 years ago

14

Photographers and surveyors use a tripod, or three legged stand, for their instruments. Use one of the postulates to explain why

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1 answer:

Papessa [141]3 years ago

3 0

Any three points define a plane so a 3 legged tripod will always be stable. that's also the reason milk stools have only 3 legs.

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Check all solutions to the equation. If there are no solutions, check 'None."<br> x² = 64

agasfer [191]

16 is the answer thank you

8 0

3 years ago

At the grocery store, Henry bought c pounds of cashews for $4.99 per pound. If he buys 2 pounds, how much will they cost?

Veronika [31]

The “c” pounds is a bit off putting if he only bought a pound. 2 pounds of Cashews would cost $9.98

3 0

3 years ago

Find general solutions of the differential equation. Primes denote derivatives with respect toÂ x.

zepelin [54]

Answer:

$\mathbf{3x^2y^3+2xy^4=C}$

Step-by-step explanation:

From the differential equation given:

$6xy^3 +2y ^4 +(9x^2y^2+8xy^3) y' = 0$

The equation above can be re-written as:

$6xy^3 +2y^4 +(9x^2y^2+8xy^3)\dfrac{dy}{dx}=0$

$(6xy^3 +2y^4)dx +(9x^2y^2+8xy^3)dy=0$

Let assume that if function M(x,y) and N(x,y) are continuous and have continuous first-order partial derivatives.

Then;

M(x,y) dx + N (x,y)dy = 0; this is exact in R if and only if:

$\dfrac{{\partial M }}{{\partial y }}= \dfrac{\partial N}{\partial x}}} \ \ \text{at each point of R}$

relating with equation M(x,y)dx + N(x,y) dy = 0

Then;

$M(x,y) = 6xy^3 +2y^4\ and \ N(x,y) = 9x^2 y^2 +8xy^3$

So;

$\dfrac{\partial M}{\partial y }= 18xy^3 +8y^3$

$\dfrac{\partial N}{\partial y }$

Let's Integrate $\dfrac{\partial F}{\partial x}= M(x,y)$ with respect to x

Then;

$F(x,y) = \int (6xy^3 +2y^4) \ dx$

$F(x,y) = 3x^2 y^3 +2xy^4 +g(y)$

Now, we will have to differentiate the above equation with respect to y and set $\dfrac{\partial F}{\partial x}= N(x,y)$ ; we have:

$\dfrac{\partial F}{\partial y} = \dfrac{\partial}{\partial y } (3x^2y^3+2xy^4+g(y)) \\ \\ = 9x^2y^2 +8xy^3 +g'(y) \\ \\ 9x^2y^2 +8xy^3 +g'(y) =9x^2y^2 +8xy^3 \\ \\ g'(y) = 0 \\ \\ g(y) = C_1$

Hence, $F(x,y) = 3x^2y^3 +2xy^4 +g(y) \\ \\ F(x,y) = 3x^2y^3 + 2xy^4 +C_1$

Finally; the general solution to the equation is:

$\mathbf{3x^2y^3+2xy^4=C}$

5 0

3 years ago

The graph shows the relationship between mass of hamster food and the number of days it takes Gabin's hamster to eat it. What do

Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

It’s b

3 0

3 years ago

Read 2 more answers

Ms. Smith has $8118 in her bank account on April 1st. She saves $710 in April. Then she must pay $1211 in taxes in May. Ms. Smit

8_murik_8 [283]

Answer: $308

Step-by-step explanation:

Based on the information given in the question, the account balance of Ms. Smith at the end of June will be:

= $8118 + $710 - $1211 + $809

= $8426

Therefore, the difference in her account balance than it was on April 1st will be:

= $8426 - $8118

= $308

4 0

3 years ago