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3 years ago

Find the equation of the line below

Mathematics

2 answers:

pentagon [3]3 years ago

8 0

Answer:

Step-by-step explanation:

slope= (-12+6)/(2-1)=-6

eq. of line is y+6=-6(x-1)

y+6=-6x+6

y=-6x+6-6

or y=-6x

Ivenika [448]3 years ago

7 0

Answer:

A) y = -6x

Step-by-step explanation:

-6 - - 12 = 6

1 - 2 = -1

6/-1 = -6

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Use cylindrical coordinates. find the volume of the solid that is enclosed by the cone z = x2 + y2 and the sphere x2 + y2 + z2 =

sashaice [31]

Let $R$ be the solid. Then the volume is

$\displaystyle\iiint_R\mathrm dV=\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$

which follows from the facts that

$\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}\implies\mathrm dx\,\mathrm dy\,\mathrm dz=r\,\mathrm dr\,\mathrm d\theta\,\mathrm d\zeta$
(by computing the Jacobian)

and

$z=x^2+y^2=r^2\implies z+z^2=72\implies z=-9\text{ or }z=8$
(we take the positive solution, since it's clear that $R$ lies above the $x$ - $y$ plane)
$r^2+z^2=72\implies z=\pm\sqrt{72-r^2}$
(again, taking the positive root for the same reason)
$z=r^2\implies 8=r^2\implies r=\sqrt8$

$\displaystyle\int_{\theta=0}^{\theta=2\pi}\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}\int_{\zeta=r^2}^{\zeta=\sqrt{72-r^2}}r\,\mathrm d\zeta\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}r(\sqrt{72-r^2}-r^2)\,\mathrm dr$
$=\displaystyle2\pi\int_{r=0}^{r=\sqrt8}(r\sqrt{72-r^2}-r^3)\,\mathrm dr$
$=\dfrac{32(27\sqrt2-35)\pi}3$

7 0

3 years ago

Help please I will give brainiest

tankabanditka [31]

It should be D

If not I’m sorry

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3 years ago

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ryzh [129]

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3 years ago

A gambler playing blackjack in a casino using four decks noticed that 20% of the cards that had been dealt were jacks, queens, k

Ksenya-84 [330]

Answer:

x = 162 cards need to be dealt with

Step-by-step explanation:

Given:

- Estimation of likelyhood of next card to be queen, a king, or an ace:

( 64 - 0.2*x ) / ( 208 - x )

Find:

For what values of x is this likelihood greater than 70%?

Solution:

- Use the likely-hood estimation relation and set up the inequality as follows:

( 64 - 0.2*x ) / ( 208 - x ) > 0.7

( 64 - 0.2*x ) > 0.7*( 208 - x )

64 - 0.2*x > 145.6 - 0.7*x

0.5*x > 81.6

x > 163.2

- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%

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3 years ago

I need help on this.. First person to answer this correctly gets a BRANLIST

arlik [135]

Answer: The relation is a function.

Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.

I hope this helps you out!

7 0

3 years ago

Find the equation of the line below ​

Find the equation of the line below