A line with a slope of 1/4 passes through the points (9, -8) and (5, d). what is the value for?

2 answers:

7 0

d + 8 = 1/4(x-9)
d + 8 = 1/4x - 9/4
- 8 - 8
------------------------------
d = 1/4x - 17

I just realized that this is not the answer you are looking for. It's an equation, not a value. Sorry about that.

lana66690 [7]4 years ago

7 0

Answer:
d = -9

Explanation:
The slope of the line can be calculated using the following formula:
slope = $\frac{y2-y1}{x2-x1}$

We are given:
slope = $\frac{1}{4}$
point (9,-8) representing (x1,y1)
point (5,d) representing (x2,y2)

Substitute with the givens in the above equation and solve for d as follows:
slope = $\frac{1}{4}$
$\frac{1}{4}$ = $\frac{d-(-8)}{5-9}$
$\frac{1}{4}$ = $\frac{d+8}{-4}$
4(d+8) = -4
d + 8 = -1
d = -1 - 8
d = -9

Hope this helps :)

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you have enough tickets to play 6 different games at a amusement park. if there are 14 games, how many ways can you choose six?

Musya8 [376]

Answer:

3003 ways

Step-by-step explanation:

You can basically choose 6 games from 14 games in total. This is essential a combination problem. We want the number of ways to choose 6 things from 14 things. The general formula for combinations is:

$nCr=\frac{n!}{r!(n-r)!}$

Which tells us the number of ways to choose "r" things from a total of "n" things.

The factorial notation is:

n! = n * (n-1) * (n-2) * ....

Example: 3! = 3 * 2 * 1

Now, we know from the problem,

n = 14

r = 6

So, substituting, we get:

$nCr=\frac{n!}{r!(n-r)!}\\14C6=\frac{14!}{6!(14-6)!}\\=\frac{14!}{8!*6!}\\=\frac{14*13*12*11*10*9*8!}{6!*8!}\\=\frac{14*13*12*11*10*9}{6*5*4*3*2*1}\\=3003$