All categories

3 years ago

what is the equation of the line in slope-intercept form? that has a slope of -2/5 and passes through (15,-2)

Mathematics

1 answer:

Elden [556K]3 years ago

4 0

Answer:

y=3x+11

Step-by-step explanation:

We have to write the equation of line which is passing through the point (−2,5) and parallel to the line y=3x+1. Hence, equation of straight line in point slope form is (y−5)=3(x+2) and in slope-intercept form is y=3x+11

You might be interested in

(y^2 - 3y - 5) - ( -y^2-7y+4 ):

sergey [27]

Answer:

$(y {}^{2} - 3y - 5) - ( - {y}^{2} - 7y + 4) \\ {y}^{2} - 3y - 5 + {y}^{2} + 7y - 4 \\ 2 {y}^{2} + 4y - 9$

A is the correct answer

8 0

2 years ago

Sonia has 5 yellow hair clips, 2 red hair clips and 3 blue hair clips. What is the probability she was picks a yellow hair clip

Hatshy [7]

Answer:

The probability that Sonia picks a yellow hair clip and a blue hair clip without replacement = $\frac{1}{6}$

Step-by-step explanation:

Given:

Sonia has:

5 yellow hair clips

2 red hair clips

3 blue hair clips

To find the probability that she picks a yellow hair clip and a blue hair clip without replacement.

Solution:

Total number of clips = $5+2+3$ = 10

The probability that Sonia picks a yellow clip from the lot will be :

⇒ $\frac{\textrm{Number of yellow clips}}{\textrm{Total number of clips}}$

⇒ $\frac{5}{10}$

Simplifying fraction by dividing both numbers by their G.C.F.

⇒ $\frac{5\div 5}{10\div 5}$

⇒ $\frac{1}{2}$

<em>Since no replacement is taking place, so after picking a yellow clip from the lot, the number of clips is decreased by 1.</em>

So, new number of clips = $10-1$ = 9

The probability that Sonia picks a blue clip from the remaining lot will be :

⇒ $\frac{\textrm{Number of blue clips}}{\textrm{Total number of clips}}$

⇒ $\frac{3}{9}$

Simplifying fraction by dividing both numbers by their G.C.F.

⇒ $\frac{3\div 3}{9\div 3}$

⇒ $\frac{1}{3}$

The probability that she picks a yellow hair clip and a blue hair clip without replacement can be given as:

⇒ $\frac{1}{2}\times \frac{1}{3}$

⇒ $\frac{1\times 1}{2\times 3}$

⇒ $\frac{1}{6}$ (Answer)

5 0

3 years ago

How to tell the difference between direct proportion and inverse proportion

Maksim231197 [3]

If two variables are in direct proportion, then as one increases, the other increases, and as one decreases, the other decreases. An example: If you're working, the amount of money you make (variable y) is in direct proportion to how many hours you work (variable x). The more hours you work, the more money you make, and vice versa. You can put these into the equation y = kx, where k is a constant rate at which x and y are directly proportional.

<span>If two variables are in inverse proportion, then as one increases, the other decreases, and vice versa. For example: if you take unpaid vacation from work, the number of days taken off (variable x) is in inverse proportion to the amount of money you make (variable y). The more vacation you take, the less money you'll make, and vice versa. You can put these into the equation y = k/x, where k is a constant rate at which x and y are inversely proportional.</span>

7 0

3 years ago

Anthony repairs bicycles. He charges $5.00 for each bicycle plus $10.00 for each

ella [17]

Answer: 13 hours

First, subtract 10, which is the base cost, from 75. You will get 65. Next, divide 65 by 5, the charge for each bicycle, to get 13.

3 0

4 years ago

Ajar contains a mixture of 20 black marbles, 16 red marbles, and 4 white marbles, all the same size. Find the probability

777dan777 [17]

$|\Omega|=20+16+4=40\\|A|16+4=20\\\\P(A)=\dfrac{20}{40}=\dfrac{1}{2}$