Ask question

Ask question

All categories

2 years ago

9

6. Find the equation of the line that is parallel to the line 6x-3y+18=0 and that passes through the point (2,1). Write your ans

wer in the form of h=mx+c

1 answer:

Whitepunk [10]2 years ago

3 0

Answer:

y = 2x- 3

Step-by-step explanation:

1) D // D' , this means that mD = mD'

6x -3y +18 =0

6x +18 =3y

6x/3 +18/3 = y

2x +6 = y. m= 2

2) Find the equation of D'

y - y' = m (x - x')

y - 1 = 2(x - 2)

y-1 = 2x - 4

y = 2x-3

You might be interested in

Ten boys share 7 granola bars. what fraction does each boy get

romanna [79]

Answer:

the Fraction is 1 $\frac{43}{100}$

Step-by-step explanation:

We divide 10 by 7 and we get 1.43 (simplest form)

then we transform it to a fraction and get 1 $\frac{43}{100}$ ( also $\frac{143}{100}$ )

6 0

2 years ago

What's the 1000000 = in exponential form

sertanlavr [38]

10x10x10x10x10x10 That will eb your answer in exponential form.

3 0

2 years ago

As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.535. If 14 households are se

motikmotik

Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

14 households, hence $n = 14$ .
0.535 probability of having at least one VCR, hence $p = 0.535$ .

The probability of <u>at least 6 and no more than 8</u> is:

$P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539$

$P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024$

$P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038$

Then:

$P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601$

0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

A similar problem is given at brainly.com/question/24863377

8 0

2 years ago

the ratio of the measure of the sides of a triangle is 4:6:8 ,and the perimeter is 126 feet, find the shortest side of the this

makvit [3.9K]

Add the numbers of the ratio:
4 + 6 + 8 = 18
The ratio of the shortest side to the perimeter is 4:18.
The actual perimeter is 126.

4:18 = x:126

18x = 4 * 126

18x = 504

x = 28

Answer: The shortest side measures 28 ft.

8 0

3 years ago

Solve the equation for x.

svetoff [14.1K]

The answer to the equation 1/3(6x-15)= 1/2(10x-4) is D. -1

7 0

2 years ago