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3 years ago

Find the slope (4,0)(-2,8)

Mathematics

2 answers:

Jlenok [28]3 years ago

8 0

Answer:

m = - 4/3

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Nostrana [21]3 years ago

4 0

Answer:

-4/3

Step-by-step explanation:

slope = gradient

for a given pair of points (x1, y1) and (x2, y2),

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

(4, 0) is to the right of (-2, 8)

slope = (0-8)/(4-(-2))

= -8/6

= -4/3

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Answer:

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taurus [48]

a. We can parameterize $C$ by

$x=t$

$y=2t^2$

with $0\le t\le1$ . Then

$\displaystyle\int_C5x\,\mathrm dS=\int_0^15t\sqrt{1+16t^2}\,\mathrm dt=\dfrac5{48}(17^{3/2}-1)$

b. We can parameterize the opposite direction by instead setting

$x=1-t$

$y=2(1-t)^2$

with $0\le t\le 1$ . Then

$\displaystyle\int_C5x\,\mathrm dS=\int_0^15(1-t)\sqrt{1+16(1-t)^2}\,\mathrm dt=-\int_1^05u\sqrt{1+16u^2}\,\mathrm dt=\int_0^15u\sqrt{1+16u^2}\,\mathrm du$

which gives the same value as in part (a).

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4 years ago

Explain why you can always use synethic division for dividing polynomials? (Will makr brainest!)

Oksana_A [137]

Answer:

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Step-by-step explanation:

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3 years ago

Please help! Measure of angles. Will award brainliest

klasskru [66]

Answer:

110 degrees, 84 degrees

Step-by-step explanation:

Picture 1:

See attached image for the angles I am referencing.

measure of angle a= measure of the 110 degree angle because of corresponding angles

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4 years ago

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

8 0

3 years ago