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olga_2 [115]
3 years ago
15

What is the slope of the line going through the points (-3,-7.5) and (-2,-5)

Mathematics
1 answer:
lakkis [162]3 years ago
7 0

Answer:

<em>2.5</em>

Step-by-step explanation:

y2 - y1 = top

x2 - x1 = bottom

<em>y2 = -5</em>

<em>y1 = -7.5</em>

<em />

<em>x2 = -2</em>

<em>x1 = -3</em>

<em />

<em />

-5-(-7.5) = 2.5

-2-(-3) = 1

2.5 over 1 = 2.5

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Find the sum of the first 47 terms of the following series, to the nearest integer.
topjm [15]

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

18-13=5,\:\quad \:23-18=5

As the difference between all the adjacent terms is the same.

so

d=5

a_1=13

Arithmetic sequence sum formula

n\left(a_1+\frac{d\left(n-1\right)}{2}\right)

Put the values

d=5

a_1=13

n=47

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+\frac{5\left(47-1\right)}{2}\right)

=47\left(13+115\right)

=47\cdot \:128

=6016

Thus, the sum of the first 47 terms of the given series = 6016

8 0
3 years ago
Use rectangular model to record the partial quotients 852/6.
storchak [24]
\frac { 852 }{ 6 } \\ \\ =\frac { 840+12 }{ 6 } \\ \\ =\frac { 840 }{ 6 } +\frac { 12 }{ 6 } \\ \\ =140+2\\ \\ =142
7 0
3 years ago
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
MariettaO [177]

Answer:

15)alternate exterior, 16) corresponding angles 17) alternate exterior 18) same side interior

19) alternate interior

5 0
3 years ago
Determine the value of f (4) if f (x) = 3x -- 1
sleet_krkn [62]

Answer: 11

Step-by-step explanation: plug in 4 for x

3(4) - 1 = 12 - 1 = 11

4 0
3 years ago
Which fraction is equal to 5/6? 8/22, 25/30, 5/15?
nadya68 [22]
If the fraction cannot be simplified any more, you can multiply both the numerator and denominator by an number.

5/6 (multiply the top and bottom by 2) is the same as 10/12
8/22 (can be simplified by dividing top and bottom by 2) is 4/11
25/30 (simplified by dividing by 5) is 5/6
5/15 (simplified by dividing by 5) is 1/3

Hope this helps!
3 0
3 years ago
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