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3 years ago

What is y + 1/5 = 3x in standard form?

Mathematics

1 answer:

vazorg [7]3 years ago

6 0

5y + 1 = 15x
- 15x + 5y = - 1

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Find two different planes whose intersection is theline:x = 6 + 3ty = -8 - 3tz = -1 - tWrite equations for each plane in the for

alina1380 [7]

Answer:

$x+y=-2$ and $3z-y=5$ are two such planes.

Step-by-step explanation:

To find the two planes whose intersection is the line

$x=6+3t\\ y=-8-3t\\ z=-1-t$

You can say that <em>t</em> is equal to this expression

$t=\frac{x-6}{3} =\frac{y+8}{-3}=-z-1$

Next,

$\frac{x-6}{3} =\frac{y+8}{-3}\\ \frac{y+8}{-3}=-z-1$

Then,

$x+y=-2$ and $3z-y=5$ are two such planes.

You can see in the image attached that the intersection of this planes is the line

$x=6+3t\\ y=-8-3t\\ z=-1-t$

7 0

3 years ago

In how many ways can a committee of 3 men and 4 boys be chosen from 7 men and 6 boys so as not to include the youngest boy if th

Ludmilka [50]

Answer:

There are 75 ways to form the committee.

Step-by-step explanation:

The order in which the people are chosen is not important, which means that the combinations formula is used to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Considering the eldest has to be there, 2 men from a set of 6 and 4 boys from a set of 5(excluding the youngest), so:

$T = C_{6,2}C_{5,4} = \frac{6!}{2!4!} \times \frac{5!}{1!4!} = 3*5*5 = 75$

There are 75 ways to form the committee.

6 0

2 years ago

Solve for g in terms of h<br> 6g - 3+ h = 5g - 4h + 13

irina1246 [14]

The answer is g= -5h + 16

3 0

3 years ago

Read 2 more answers

Racionalize o denominador da equação abaixo:<br> 5 + 3 ²√5 / ²√5

GrogVix [38]

I hope this helps

$\cfrac{5+3 \sqrt{5} }{ \sqrt{5} } =\cfrac{(5+3 \sqrt{5}) \sqrt{5} }{ \sqrt{5}* \sqrt{5} }= \cfrac{5 \sqrt{5}+15 }{5} = \cfrac{5 (\sqrt{5}+3) }{5} = \sqrt{5}+3$

4 0

3 years ago

Need answer fasttt

Deffense [45]

Answer:

295.4 $in^3$

Step-by-step explanation:

$V=\frac{1}{3}(b)^2(h)\\\\ =\frac{1}{3} (11.5)^2(6.7)\\\\=\frac{1}{3}(135.25)(6.7)\\\\$

= 295.358

≈ 295.4

5 0

3 years ago