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Mama L [17]
2 years ago
11

Which is a characteristic of the line that passes through the points (6, 10) and (12, 7)?

Mathematics
2 answers:
mihalych1998 [28]2 years ago
7 0

Answer:

Step-by-step explanation:

The general formula of the linear equation is:

y = mx + c 

where m is the slope and c is the y-intercept

1- getting the slope:

We are given the two points:

(6,10) representing (x1 , y1)

(12,7) representing (x2 , y2)

The slope of the line will be calculated as follows:

m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5

The equation of the line now becomes:

y = -0.5x + c

2- getting the value of the y-intercept:

To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:

y = -0.5x + c

10 = -0.5(6) + c

10 = -3 + c

c = 13

Based on the above, the equation of the line would be:

y = -0.5x + 13

Hope this helps :)

Anvisha [2.4K]2 years ago
7 0

Answer:

A

Step-by-step explanation:

take the frickin answer

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Answer:

0.216

Step-by-step explanation:

Given that a certain new type of business succeeds 60% of the time.

3 such businesses   are tested for success.

Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial

with p = 0.6 and n =3

Required probability

=The probability that all 3 businesses succeed is:

= P(X=3)\\= 0.6^3\\= 0.216

8 0
3 years ago
Esto es verdadero oh falso <br> como se resuelve<br> 3/4 + 1/2 + 1/3 + 2/9 + ...... = 9/4
Step2247 [10]

Answer

The missing value is 4/9

8 0
3 years ago
Let A=(1,2,3,4,5)which of the following sets are equal to A?
Rom4ik [11]

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

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5 0
3 years ago
A president, treasurer, and secretary, all di erent, are to be chosen from a club consisting of 12 people (whose names are I, J,
Ierofanga [76]

Answer:

There are 220 choices

Step-by-step explanation:

Given

People = 12

Selection =3 (President, Treasurer and Secretary)

Required

Determine number of selection (if no restriction)

This is calculated using the following combination formula:

^nC_r = \frac{n!}{(n - r)!r!}

Where

n = 12

r= 3

So, we have:

^nC_r = \frac{n!}{(n - r)!r!}

^{12}C_3 = \frac{12!}{(12 - 3)!3!}

^{12}C_3 = \frac{12!}{9!3!}

^{12}C_3 = \frac{12*11*10*9!}{9!3!}

^{12}C_3 = \frac{12*11*10}{3!}

^{12}C_3 = \frac{12*11*10}{3*2*1}

^{12}C_3 = \frac{12*11*10}{6}

^{12}C_3 = 2*11*10

^{12}C_3 = 220\ ways

<em>There are 220 choices</em>

8 0
2 years ago
Please help!!!!!!!!!
meriva

Answer:

n = 8

Step-by-step explanation:

(n−2) × 180  is the formula to find the interior angles of a polygon

(n−2) × 180 = 1080

Divide each side by 180

(n−2) × 180/180 = 1080/180

n-2 =6

Add 2 to each side

n-2+2 = 6+2

n = 8

5 0
2 years ago
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