If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 5 and passes through point (2, 3)Part A: What is the equation of the path?
Part B: Does the ship pass through point (6, 25)?
Part C: A second ship follows a straight line, with the equation x + 5y − 15 = 0. Are these two ships sailing perpendicular to each other? Justify your answer.

Answers

Answer 1

Answer: Part A.

Call m the slope

Equation:

y -yo = m( x- xo)

y - 3 = 5 (x - 2)

y = 5x - 10 + 3

y = 5x - 7

Part B.

Check if point (6, 25) belongs to the equation found above

y = 5(6) - 7 = 30 - 7 = 23

Given that 23 ≠ 25 the ship does not pass through point (6,25)

Part C.

The equation of the path of the second ship can be written as:

y = - x/5 + 3

The slope is the coefficient of x, this is - 1/5.

Then this slope is the slope of the first ship multiplied by - 1 and inverted. This is the condition to be parallel lines. So, indeed the two ships are sailing perpendicular to each other.

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21/7+3/7(3x−5)=−4Drag and drop the statement that shows the solution to the equation into the box.

Answers

i know this is really late but its for people here now (like me) the answer would be x= -3 1/9

21/7 + 3/7(3x - 5) = -4
21/7 + 9/7x - 15/7 = -4.....multiply everything by 7
21 + 9x - 15 = - 28
9x + 6 = -28
9x = -28 - 6
9x = - 34
x = -34/9 or - 3 7/9

Factor -4d^3 + 28d^2 - 4d

Answers

$$\begin{align} -4d^3+28d^2-4d&=(-4d* d^2)+(-4d*-7d)+(-4d* 1)\n&=\boxed{-4d(d^2-7d+1)} \end$

Can someon plz help me solve this PLzzzzzzzzzzzzzzzzzzzz!!!!!!!!!!!!!!!!!!!!!!!!!!!!32-6x+7x=-15+28

Answers

=>32 - 6x + 7x = -15 + 28
=>32 - 6x + 7x + 15 -28 =0
=>32 -28 + 15 -6x + 7x =0
=>19 + x =0
=>x = -19

Hope it helps !!!

If you go to mathway . com you can put ANY problem in and it will tell you.

PLEASE HELP PICTURE SHOWN

Answers

i think the answer is D.

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

$2+3=5$

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

$P(\text{ A and B})=P(A)* P(B)$

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

$(2)/(5)* (3)/(4)\n\n=(6)/(20)=(3)/(10)$

Now, we have to change it into percent ,

$(3)/(10)* 100=3* 10=30\%$

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.

The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of boys}}{\text{Number of people}} = (2)/(5)$

Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of girls}}{\text{Number of people}} = (3)/(4)$

Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,

$\rm Probability=\frac25 * \frac34 = (3)/(10) = 0.3$

Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.

Learn more about Probability:

brainly.com/question/795909

How to change 3\8to decimal fraction

Answers

answer:

To change 3/8 to a decimal fraction, you need to divide the numerator (3) by the denominator (8).

1. Divide the numerator (3) by the denominator (8): 3 ÷ 8.

2. Perform the division: 3 ÷ 8 = 0.375.

So, 3/8 as a decimal fraction is 0.375.

In conclusion, to change 3/8 to a decimal fraction, you divide 3 by 8, which gives you the decimal value of 0.375.

alli <3

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