All categories

2 years ago

Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form?

Mathematics

1 answer:

Olegator [25]2 years ago

7 0

Answer:

$\large\boxed{y-8=\dfrac{5}{7}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{5}{7}$ and the point $(4,\ 8)$ .

Substitute:

$y-8=\dfrac{5}{7}(x-4)$

You might be interested in

A marathon runner runs 7.6 mph for 3 and half hours how many miles has he run

igomit [66]

7.6 x 3.5 = 26.6 miles

6 0

3 years ago

Which of the following happens when a company goes public

blagie [28]

When a company goes public it begins selling shares of stock in a public stock market. This means that it asks for money from investors and gives them a share of the company in return of their investment. 
The result is: The company gets the money and the investor gets a share in the company's ownership.The investor gets a share and he becomes the owner of the company but he owns only a part corresponding to the number of shares he buys.

5 0

2 years ago

How do I solve this problem

Andrews [41]

All you do is add the numbers and that is how you get your answer!

3 0

2 years ago

1) A cyclist travels a distance of 90 miles in 5 hours. What

Nostrana [21]

Answer:

Step-by-step explanation: Speed is distance an object travelled per unit time.

It is represented by letter v and can assume various units.

1) $v=\frac{distance}{time}=\frac{d}{t}$

$v=\frac{90}{5}$

v = 18 miles per hour

Her average speed is 18 mph.

2) Rearraging formula for distance:

d = v.t

d = 70 * 4

d = 280 miles

You would travel 280 miles.

3) $v=\frac{d}{t}$

$v=\frac{315}{6}$

v = 52.5 mph

My average speed is 52.5 mph.

4) Rearranging formula to determine time:

$t=\frac{d}{v}$

$t=\frac{210}{90}$

t = 2.34 hours

It will take 2 hours and half to arrive in Leeds. So, we will be expected to arrive at 12:04.

5) The unit change but the way of calculating time is the same.

$t=\frac{2000}{4}$

t = 500 s

or t = 8.34 minutes

It will take, for an athlete to run 2000m, 8.34 minutes.

6) a) All units must match, so for a speed in mph:

45 minutes is 0.75 hours. Total time is 8.75 hours.

$v=\frac{420}{8.75}$

v = 560 mph

The average speed is 560 mph.

b) $t=\frac{d}{v}$

$t=\frac{420}{63}$

t = 6.67 hours

Sam will take 6.67 hours to covered the distance.

4 0

2 years ago

What fraction of 1 pint is 1 cup

Aleonysh [2.5K]

The answer is that the fraction of 1/2 pint is 1 cup. To solve this you must know the equivalence between pints and cups, and use the notion of proportions. Two cups equal one pint. Then you can state this proportion: 1 pint / 2 cups = x pint / 1 cup. When you solve for x you get: x = 1/2. Which means that 1 cup is 1/2 of 1 pint.

8 0

3 years ago