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andreyandreev [35.5K]
2 years ago
10

What is the equation of the line that passes through (-3, 4) and (3, -2)?

Mathematics
2 answers:
tamaranim1 [39]2 years ago
8 0

Answer:

y = -x +1

Step-by-step explanation:

p1 (-3,4)

p2 ( 3, -2)

line equation y = mx + b

The slope m equals

\frac{y2 - 21}{x2 - x1}

\frac{ - 2 - 4}{3 -  - 3}  =  \frac{ - 6}{6}  =  - 1

y = - x + b

from any point

-2 = -3 + b

b = 1

line equation = y = -x +1

icang [17]2 years ago
8 0
Just plugging the points into the equations, both fit y=-x+1

Hope this helps
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Omar, Hala and Lujain got paid a total of $240 for cleaning neighborhood cars. They split the money in the ratio of 5: 9: 10. Ho
Levart [38]

Answer:

Total amount Omar earn = $120

Step-by-step explanation:

Given:

Total amount Omar, Hala and Lujain got paid = $240

Ratio of money Omar, Hala and Lujain got paid = 5:9:10

Find:

Total amount Omar earn

Computation:

Total amount Omar earn = [Total amount Omar, Hala and Lujain got paid][Omar'ratio / Total ratio]

Total amount Omar earn = [240][5 / (5+9+10)]

Total amount Omar earn = [240][5 / (24)]

Total amount Omar earn = [24][5]

Total amount Omar earn = $120

5 0
2 years ago
X-4[x-2(x+6)]=5x+3<br><img src="https://tex.z-dn.net/?f=x%20-%204%20%20%20%5B%20%20x%20-%202%28x%20%2B%206%29%5D%20%20%3D%205x%2
pshichka [43]

The equivalence of the equation is 5x + 48 = 5x + 3.

Since 48 cannot be equal to 3, hence there are no solution.

<h3>What is the value of x?</h3>

Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3

We remove the parentheses

x-4[ x - 2( x + 6) ] = 5x + 3

x-4[ x - 2x - 12 ] = 5x + 3

x - 4x + 8x + 48 = 5x + 3

5x + 48 = 5x + 3

We can go further and collect like terms

5x - 5x + 48 = 3

48 ≠ 3

Since 48 cannot be equal to 3, hence there are no solution.

Learn more about equations here: brainly.com/question/14686792

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7 0
2 years ago
How many 'words' can be made from the name ESTABROK with no restrictions
Bumek [7]

The number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

<h3>How to determine the number of ways</h3>

Given the word:

ESTABROK

Then n = 8

p = 6

The formula for permutation without restrictions

P = n! ( n - p + 1)!

P = 8! ( 8 - 6 + 1) !

P = 8! (8 - 7)!

P = 8! (1)!

P = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 × 1

P = 40, 320 ways

Thus, the number of ways in which the name 'ESTABROK' can be made with no restrictions is 40, 320 ways.

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6 0
2 years ago
How √225 and √223 are different by their nature ??
denis23 [38]
Here, we know, √225 = 25 (perfect squared)
whereas √223 is not a perfect squared.

So, √225 would be "Rational" whereas √223 would be "Irrational" by the nature.

Hope this helps!
5 0
3 years ago
There are 22 soccer balls, and each bag holds 6 balls. how many bags does rico completely fill ? how many soccer are left?
muminat

Answer:

3 bags and 4 soccer balls leftover.

Step-by-step explanation:

Divide 22 by 6 and use only the number before the decimal. This means you need 3 bags.

Now multiply 3 by 6 to see how many soccer balls were put in bags. (18)

Now subtract 18 from 22 and you have the number of balls leftover. (4)

8 0
3 years ago
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