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3 years ago

The slope of the line that contains the points (2, 14) and (3, 20) is 6. What is the y-intercept?

Mathematics

1 answer:

boyakko [2]3 years ago

8 0

Answer:

B. 2 [0, 2]

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

20 = 6[3] + b

2 = b

$y = 6x + 2$

__________________________________________________________

14 = 6[2] + b

2 = b

$y = 6x + 2$

** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

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What is the horizontal asymptote of the function given?

Virty [35]

Answer:

y=2

Step-by-step explanation: horizon shows where the dotted line crosses the y axis

7 0

3 years ago

10) Show that in a group of 10 people (where any two people are either friends or enemies), there are either three mutual friend

ddd [48]

Answer with explanation:

Number of People in the group =10 People

The combination between two people is that, they can be either friends or enemies.

Total number of Possible Relation

=18 +16+14+12+10+8+6+4+2

= 90 Relations in all.

Out of 90 relations , 45 will be friends and 45 will be enemies.

⇒Now, we have to prove that, between 10 people, there are either three mutual friends or four mutual enemies, and there are either three mutual enemies or four mutual friends.

→→If there are three mutual friends, total number of people in the group =3 ×2=6 people in the group

And, four mutual enemies in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual friends or four mutual enemies

=6 +4

=10

Hence proved.

→→→→Second part is ,in this group there can be either three mutual enemies or four mutual friends.

⇒If there are three mutual enemies, total number of people in the group =3 ×2=6 people in the group

And, four mutual friends in a group means there are 2 people in each group.

So, total number of people if we combine the two groups in which there are either three mutual enemies or four mutual enemies

=6 +4

=10

Hence proved.

3 0

3 years ago

Pls help me with this math

Alexeev081 [22]

Answer:

62 is your answer

Step-by-step explanation:

6 × (36 ÷ 12)² + 8, you can also write 36 ÷ 12 as a fraction, which would look like this: 36/12

Step 1: 6 × 36/12² + 8 = 6 × 3² + 8

Step 2: Multiply 6 and 9

(6)(9)+8 = 54+8

Step 3: Then you add 54 and 9 and you get 62

Answer: 62

8 0

2 years ago

A number tripled and 6 is 24

boyakko [2]

Answer:

The number is 6

Step-by-step explanation:

Given:

A number tripled and 6 is 24

To Find:

The Number = ?

Solution:

Let the number be x

The question states that the number is tripled. so lets multiply the number by 3, We get

Then

3x + 6 = 24

On solving the equation we get

3x = 24 -6

3x = 18

$x = \frac{18}{3}$

x = 6

7 0

3 years ago

Find the equation for the line passing through the point (−1,1) ( − 1 , 1 ) and parallel to the line whose equation is y=2x+12.

tekilochka [14]

So, parallel lines have the same slope, therefore a parallel line to 2x+12, will have the same slope as that one, so which is it? $\bf y=\stackrel{slope}{2}x\stackrel{y-intercept}{+12}$

so, we're really looking for the equation of a line whose slope is 2, and runs through -1,1.

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ -1}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-1=2[x-(-1)]
\\\\\\
y-1=2(x+1)\implies y-1=2x+2\implies y=2x+3$

7 0

3 years ago