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2 years ago

Soooo this is hard... help?

Mathematics

2 answers:

enot [183]2 years ago

5 0

I just did this test the answer is B :-)

madreJ [45]2 years ago

4 0

Answer is 1/2

it's B
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If a rectangular prism is sliced vertically by a plane, what is the shape of the resulting two dimensional figure?

Romashka [77]

I think 2 triangular prisms.

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2 years ago

Find the particular solution of the differential equation that satisfies the initial condition(s). f ''(x) = x−3/2, f '(4) = 1,

sweet [91]

Answer:

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

Step-by-step explanation:

This differential equation has separable variable and can be solved by integration. First derivative is now obtained:

$f'' = x - \frac{3}{2}$

$f' = \int {\left(x-\frac{3}{2}\right) } \, dx$

$f' = \int {x} \, dx -\frac{3}{2}\int \, dx$

$f' = \frac{1}{2}\cdot x^{2} - \frac{3}{2}\cdot x + C$ , where C is the integration constant.

The integration constant can be found by using the initial condition for the first derivative ( $f'(4) = 1$ ):

$1 = \frac{1}{2}\cdot 4^{2} - \frac{3}{2}\cdot (4) + C$

$C = 1 - \frac{1}{2}\cdot 4^{2} + \frac{3}{2}\cdot (4)$

$C = -1$

The first derivative is $y' = \frac{1}{2}\cdot x^{2}- \frac{3}{2}\cdot x - 1$ , and the particular solution is found by integrating one more time and using the initial condition ( $f(0) = 0$ ):

$y = \int {\left(\frac{1}{2}\cdot x^{2}-\frac{3}{2}\cdot x -1 \right)} \, dx$

$y = \frac{1}{2}\int {x^{2}} \, dx - \frac{3}{2}\int {x} \, dx - \int \, dx$

$y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x + C$

$C = 0 - \frac{1}{6}\cdot 0^{3} + \frac{3}{4}\cdot 0^{2} + 0$

$C = 0$

Hence, the particular solution of the differential equation is $y = \frac{1}{6} \cdot x^{3} - \frac{3}{4}\cdot x^{2} - x$ .

5 0

3 years ago

What is the equation of the line in point-slope form that has a slope of -3 and passes through the point (5, 9)?

krek1111 [17]

Answer:

$y-9=-3(x-5)$

Step-by-step explanation:

The equation of the line in point-slope form is given as

$y-y_1=m(x-x_1)$

Here m=-3 and (x1, y1)=(5, 9)

Therefore,

$y-9=-3(x-5)$

8 0

2 years ago

Urgent please answer

Ghella [55]

Answer:

Step-by-step explanation:

-12 x -2 = 24

3 0

3 years ago

Read 2 more answers

The area of a square garden is 100 square feet .how long is each side of the garden

aniked [119]

Answer:

Each side is 25

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3 years ago