All categories

4 years ago

Find the equation of the line through the pair of points (1/2,1/8) and (-1/7,1/9)in standard form using only integers.

1 answer:

3 0

The first thing that we need to do is find the slope (m). In order to find the slope we need two points. The first point is (x1,y1) and the second point is (x2,y2). The slope is m = (y2-y1)/(x2-x1) = (1/9 - 1/8)/(-1/7 - 1/2) = (8/72 - 9/72)/
(-2/14 - 7/14) = -(1/72)/(-9/14) = 1(14)/72(9) = 7/(36)(9) = 7/324 (Wow!)

Now we can use the point slope formula to make the equation:
y - 1/8 = (7/324)(x - 1/2) Point slope equation
y - 1/8 = (7/324)x - 7/648
y =(7/324)x - 7/648 + 81/648
y = (7/324)x +74/648
y = (7/324)x + 37/324 This is the slope intercept form
-(7/324)x + y = 37/324 This is the standard form

You might be interested in

A city manager made a scatter plot of the number or retail store in a certain city over the years. the scatter plot had a trend

Fiesta28 [93]

Answer:

155

Step-by-step explanation:

The problem sounds complicated, but it's not. Let's analyse.

The city manager have come up with an equartion y=11x +12, with Y is the total number of the stores and X stands for how long it has been since 2003.

We can't explain how the manager came up with this equation, so iwe don't need to think of if the equation is real or not. Let's just base on what we have.

Because the equation aboce is a trendy line, it means that it would likely to be true with any X ( number of years since 1990).

In Tracy's case, the year is 2003, so it has been 2003 - 1990 = 13 years since 1990. This is the X in the equation. Now we only need to find Y in the equation, which is the number of retail stores there were in 2003, exactly what the problem asks.

y= 11x + 12

=> In Tracy's case: y= 11*13 + 12= 155

So the number of retail stores there were in 2003 was 155

5 0

3 years ago

Help sweet people of the web

leva [86]

Answer: no

Step-by-step explanation:

4 0

3 years ago

What is the sum of all positive integers less than 300 which are divisible by 3

drek231 [11]

Answer:

14,850

Step-by-step explanation:

You need the sum of

3 + 6 + 9 + 12 + ... + 294 + 297

Factor out a 3 from the sum

3 + 6 + 9 + 12 + ... + 294 + 297 = 3(1 + 2 + 3 + 4 + ... + 98 + 99)

You need to add all integers from 1 to 99 and multiply by 3.

The sum of all consecutive integers from 1 to n is:

[n(n + 1)]/2

The sum of all consecutive integers from 1 to 99 is

[99(99 + 1)]/2

The sum you need is 3 * [99(99 + 1)]/2

3 + 6 + 9 + 12 + ... + 294 + 297 =

= 3 * [99(99 + 1)]/2

= 3 * [99(100)]/2

= 3 * 9900/2

= 14,850

4 0

3 years ago

What is the volume of the sphere that has a diameter of 3? use 3.14 for pie

aev [14]

Hey ! there

Answer:

113.04 unit cube

Step-by-step explanation:

In this question we are provided with a sphere having radius 3 units and value of π is 3.14 . And we're asked to find the volume of sphere .