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3 years ago

Find the slope of the line that passes through each pair of points A(0,1), B(2,7)

2 answers:

5 0

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{2-0} = \frac{6}{2} =\boxed{3}$

The slope of the line that passes through points (0,1) and (2,7) is 3

Finger [1]3 years ago

3 0

The slope would be 3.
7-1=6
2-0= 2
6/2=3

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Diego has two guinea pigs pic and zia pia weighs 1 3/4 pounds zia weighs 32 ounces who weighs more?

loris [4]

Answer:

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3 years ago

A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

Pressing one button
Pressing a pair of buttons

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

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2 years ago

Find the missing value for the parallelogram

jeka57 [31]

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> y = 85

=> z = 35

180 - (35 + 85)

=> x = 60

Hope this helps!

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Eddi Din [679]

I got D.

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