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3 years ago

Find the slope of the line that contains the points (-9, 4) and (-7, -2).

Mathematics

1 answer:

Nataliya [291]3 years ago

3 0

Answer:

-3

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-4)/(-7-(-9))

m=-6/(-7+9)

m=-6/2

m=-3

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Vanyuwa [196]

If AB is parallel to CD, then A’B’ is parallel to C’D’.

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3 years ago

Read 2 more answers

If Ac={vt2/r) and vt=2 and r=2 find Ac a. 4 b. 2 C. 1 D. 8

ankoles [38]

given: $Ac=\frac{vt2}r \quad vt=2 \quad r=2$

$\therefore Ac=\frac{(2)2}{2}=2$

5 0

3 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

Darren's rectangle measures 3 1/3 units by 3 1/3 units. What is its area?

Andrei [34K]

Answer:

11 1/9

Step-by-step explanation:

3 1/3 x 3 1/3

= 10/3 x 10/3

= 100/9

= 11 1/9

4 0

2 years ago

Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "

Travka [436]

Answer: 3/2

Step-by-step explanation:

Since, two variables are called proportional if there is always a constant ratio between them.

And, The constant is called the coefficient of proportionality or proportionality constant.

Let x and y are proportional to each other.

Therefore, x ∝ y ⇒ y=kx

Where k is any constant.

For, x=2 and y=3 k= 3/2

For, x=4 and y=6, k=3/2

For x=6 and y=9, k= 3/2

Since, here the value of k is constant.

Therefore, k is the coefficient of proportionality.

And, given table is propositional.

3 0

3 years ago