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riadik2000 [5.3K]
3 years ago
5

Please help, you don't have to show your work. Like at all.

Mathematics
1 answer:
elixir [45]3 years ago
3 0

The slope of the line is -2.

Solution:

Given points are (-3, -7) and (2, -17).

Here x_1=-3, y_1=-7, x_2=2, y_2=-17

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-17-(-7)}{2-(-3)}

$m=\frac{-17+7}{2+3}

$m=\frac{-10}{5}

m = -2

The slope of the line that passes through the pair of points is -2.

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Three consecutive integers can be represented by the variable n, n+1 and n+2. If the sum of three consecutive integers is 57, wh
pashok25 [27]
You have some unknown integer n, and you know that adding this and the next two integers, n+1 and n+2, gives a total of 57.

This means

n+(n+1)+(n+2)=57

The task is to find all three unknown integers. Notice that if you know the value of n, then you pretty much know the value of the other three integers.

To find n, solve the equation above:

n+(n+1)+(n+2)=3n+3=57\implies 3n=54\implies n=\dfrac{54}3=18

So if 18 is the first integer, then others must be 19 and 20.
7 0
3 years ago
Read 2 more answers
If H= 2f over m+1, solve the equation for f
Viefleur [7K]
H = 2f / (m+1)
[multiply by (m+1)]
h(m+1) = 2f
[divide by 2]
f = (h (m + 1)) / 2

3b / (b+2) = 12 / (b+2)
[multiply by (b+2)]
3b = 12
[divide by 3]
b = 4

3 / (6x + 1) / 2 = 8 / (x + 4) / 3
[multiply both denominators to mike one denominator]
3 / 8(6x+1) = 8 / 3(x+4)
[expand brackets]
3 / (48x + 8) = 8 / (3x + 12)
[multiply by (48x + 8)]
3 = 8(48x + 8) / (3x+12)
[multiply by (3x+12)]
3(3x +12) = 4(48x + 8)
[simplify]
9x + 36 = 192x + 32
173x = 4
x = 4 / 173
8 0
3 years ago
Marks test scores for this semester were 83,80,91,74,66,95,87,72,95,97 what is the mode of his test scores
Vlada [557]

Answer:

95

Step-by-step explanation:

Mode is what is the most frequent number that occurred; 95 occurred the most from the data.

3 0
3 years ago
If c(x)=5/x-2 and d(x)=x+3, what is the domain of (cd)(x)?
pickupchik [31]

Answer:

The domain is all Real x except x = 2 .

Step-by-step explanation:

(cd)(x) = ( 5 / x-2) * x+3

=  5(x+3)/(x-2)

The domain is all Real x except x = 2 .

(because when x = 2 (cd)(x) is undefined).

3 0
4 years ago
Which inequality represents the values of that ensure triangle exists? a triangle with these side lengths: AC = 18 units, BC = 6
erastovalidia [21]

AC = 18

BC = 6x

AB = 2x + 4


Write and solve:

18 + 6x + 2x + 4

18 + 8x + 4 = 180


You can solve further:

18 + 8x = 176

8x = 158

x = 19 & 3/4


Not 100% sure what the question is asking, but hopefully this helps.

5 0
3 years ago
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