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3 years ago

What is the volume of the pyramid

Mathematics

1 answer:

lisov135 [29]3 years ago

8 0

Answer:

B. 484

Step-by-step explanation:

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Plz help for brianly

ozzi

Answer:

190.

Step-by-step explanation:

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3 years ago

What is the point slope form of a line with slope 3 that contains the point (2,1)

Mice21 [21]

Answer:

y - 1 = 3 ( x - 2)

Step-by-step explanation:

The formula for point slope form is y-y1=m(x-x1)

Just substitute the given information into the equation to get your answer.

(reminder m=slope, y1=the given y value, x1= the given x value)

HOPE THIS HELPS

7 0

3 years ago

Which three pairs of measurements are possible side lengths for the triangle?

wlad13 [49]

Answer:

Options (1), (5), and (6)

Step-by-step explanation:

See attached image

4 0

2 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

PLEASEEEE HELP ME WITH THIS ALGEBRA 1

AleksandrR [38]

Answer:

Step-by-step explanation:

total cost = tickets( c) +50

1400 = 4 (c) + 50

1350 = 4 (c)

337.50 = c

5 0

3 years ago