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Deffense [45]
3 years ago
8

Write an equation of the line below.

Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0
Using y=mx+b, the slope is -2/3 and the y-intercept is -2
y=-(2/3)x -2
You might be interested in
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

a_n = a_1 + d(n-1)

Plug in a_1 = 4, \ d = 8, \ n = 10 and you should get the following:

a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\

The tenth term is <u>76</u>

---------

We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}

---------

In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in a_n = a_1 + d(n-1) which shifts everything one spot to the left.

7 0
2 years ago
What is the fraction as a decimal?
Bess [88]
You just divide 3/8= 0.375
5 0
4 years ago
Find the vertex and the axis of symmetry for the following functions.
bearhunter [10]

Answer:

b

Step-by-step explanation:

its correct

7 0
2 years ago
Read 2 more answers
John needs to cut three strips of wood, 25.5 cm, 15.3 cm, and 9.25 cm long. He has a strip that is 72 cm long. How long will the
NeX [460]

Add the three strips of cut wood together:

25.5 + 15.3 = 40.8

40.8 + 9.25 = 49 + 1.05 = 50.05

John will need to cut a total of 50.05cm of wood.

Subtract this total from the strip John has:

72 - 50.05 = 22 - .05 = \boxed{21.95}

The leftover piece will be 21.95cm long.

4 0
3 years ago
Read 2 more answers
Please help! please show work. will give brainleist!
stepan [7]
So here we have similar parallelograms. Which means, that 24/16 must equal to y/4.
24/16=y/4
3/2=y/4
4•3=2•y
12=2y
y=6
7 0
3 years ago
Read 2 more answers
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