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aleksandrvk [35]
3 years ago
13

Find parametric equations for the line. (Enter your answers as a comma-separated list of equations. Let x, y, and z be functions

of t.) The line in the direction of the vector 5 i + 5 j − 6k and through the point (−4, 4, −2).
Mathematics
1 answer:
zzz [600]3 years ago
4 0

Answer:

x=5t-4 , y=5t+4 , z=-6t-2

Step-by-step explanation:

So we are going to use (-4,4,-2) as an initial point, p.  

The direction vector is v=5i+5j-6k or <5,5,-6>.

The vector equation is r=vt+p.

That means we have r=<5,5,-6>t       +      <-4,4,-2>.

So the parametric equations are

x=5t-4

y=5t+4

z=-6t-2

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Please helpppp.. ..​
goldfiish [28.3K]

Answer:

y - 1 = \frac{5}{3}(x - 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = \frac{5}{3} and (a, b) = (2, 1), thus

y - 1 = \frac{5}{3}(x - 2) ← equation of line

8 0
4 years ago
Giselle works as a carpenter and as a blacksmith.
seropon [69]

Step-by-step explanation:

$20/hr carpenter pay

$25/hr blacksmith pay

Let c = hours working carpentry

Let b = hours working as blacksmith

c + b = 30 {equation 1}

20c + 25b = 690 {equation 2}

In equation 1 solve for one variable in terms of the other.

c = 30-b

Substitute that into equation 2:

20(30-b) + 25b = 690

600 - 20b + 25b = 690

5b = 90

b = 90/5

b = 18 hours working as a blacksmith

c = 30-b = 30-18 = 12 hours as a carpenter

3 0
2 years ago
High population density can cause increased competition for resources such as food or shelter, while a low population density ca
krek1111 [17]

Answer:

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

Step-by-step explanation:

we know that

The <u><em>population density</em></u> is the number of people per unit of area

so

Find out the population density for each region

<em>Bear Creek</em>

\frac{462}{112}= 3.70\ people/acre

<em>Binky Lee</em>

\frac{12,624}{3,412}= 4.13\ people/acre

<em>Cheslen</em>

\frac{3,537}{1,263}= 2.80\ people/acre

<em>Crow's Nest</em>

\frac{2,142}{612}= 3.5\ people/acre

so

Cheslen < Crow's Nest < Bear Creek < Binky Lee

therefore

The region with the highest population density is Binky Lee

The region with the lowest population density is Cheslen

4 0
4 years ago
Read 2 more answers
Suppose that x has a binomial distribution with n = 201 and p = 0.45. (Round np and n(1-p) answers to 2 decimal places. Round yo
ycow [4]

Answer:

a) It can be used because np and n(1-p) are both greater than 5.

Step-by-step explanation:

Binomial distribution and approximation to the normal:

The binomial distribution has two parameters:

n, which is the number of trials.

p, which is the probability of a success on a single trial.

If np and n(1-p) are both greater than 5, the normal approximation to the binomial can appropriately be used.

In this question:

n = 201, p = 0.45

So, lets verify the conditions:

np = 201*0.45 = 90.45 > 5

n(1-p) = 201*(1-0.45) = 201*0.55 = 110.55 > 5

Since both np and n(1-p) are greater than 5, the approximation can be used.

3 0
3 years ago
Sergio comma Eduardo comma Maria comma Simone comma Ian comma Dawn comma Larry comma and Tyrone have all been invited to a dinne
ANTONII [103]

Answer:

a.

Step-by-step explanation:

5 0
4 years ago
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