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kow [346]
2 years ago
14

Find the slope of a line parallel to a line containing points (3,-5) and(1,7)

Mathematics
1 answer:
schepotkina [342]2 years ago
7 0

Answer:

Required slope = - 6

Step-by-step explanation:

Parallel lines have same slope.

(x₁ , y₁) = (3 , -5)      &  (x₂ , y₂) = (1, 7)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}

        = \frac{7 - [-5]}{1-3}\\\\=\frac{7+5}{1-3}\\\\=\frac{12}{-2}\\\\= -6

Slope of the a line parallel to a line  = -6

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6 0
2 years ago
Is 87656432 divisible by 4? Is there a shortcut?
Natasha2012 [34]
Hope this isn't too confusing

All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
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8 0
2 years ago
-11b+7=40<br> b=?<br><br> help, please
serious [3.7K]

Answer: -3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is thesum of the two polynomials ? (-x^2+9)+(-3x^2-11x+4)
True [87]
-x^2 + 9 - 3x^2 - 11x + 4
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3 0
2 years ago
A group of 86 people consist of men women and children. There are twice as many women then there are men. There are 6 more child
weqwewe [10]

Answer: 16 men

32 women

38 children

Step-by-step explanation:

Let x represent the number of men in the group.

Let y represent the number if women in the group.

Let z represent the number of children in the group.

A group of 86 people consist of men women and children. This means that

x + y + z = 86 - - - - - - - - - - - - 1

There are twice as many women than there are men. It means that

x = y/2

There are 6 more children than there are women. This means that

z = y + 6

Substituting x = y/2 and z = y + 6 into equation 1, it becomes

y/2 + y + y + 6 = 86

multiplying through by 2, it becomes

y + 2y + 2y + 12 = 172

5y = 172 - 12 = 160

y = 160/5 = 32

x = y/2 = 32/2

x = 16

z = y + 6 = 32 + 6

z = 38

8 0
3 years ago
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