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2 years ago

Write an equation that represents the line. Use exact numbers.

Mathematics

1 answer:

lions [1.4K]2 years ago

7 0

Answer:

y = -4/3x - 1

Step-by-step explanation:

Points on the graph: (0, -1) and (3, -5)

Slope:

m=(y2-y1)/(x2-x1)

m=( -5+1)/(3-0)

m=(-4)/3

m= -4/3

Slope-intercept:

y - y1 = m(x - x1)

y + 1 = -4/3(x - 0)

y + 1 = -4/3x

y = -4/3x - 1

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The explicit formula for an arithmetic sequence is an = 20 + (n − 1)(2). What is the 200th term?

Andrews [41]

Answer:

$a_{200}=418$

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by :

$a_n=20+(n-1)2$ ...(1)

We need to find the 200th term of the sequence.

Put n = 200 in equation (1)

$a_{200}=20+(200-1)2\\\\=20+199\times 2\\\\=418$

So, the 200th term of the sequence is 418.

7 0

2 years ago

If you multiply a number by 3 an then subtract 5,you will get 40.what is the number?

Murljashka [212]

Answer:

The answer is 15

Step-by-step explanation:

15*3=45-5=40

3 0

2 years ago

Which two values of x are roots of the polynomial below? x2 + 3x - 5

lesya692 [45]

Answer:

Step-by-step explanation:

The roots are the values of x for which x² + 3x - 5 = 0.

Quadratic formula:

x = [-3±√(3²-4(1)(-5))]/(2·1) = [-3±√29]/2

3 0

2 years ago

What angles go with the angle pairs? Just a simple checklist please :).

Anni [7]

Answer:

Here is the answer

Step-by-step explanation:

∠1 and ∠6 are adjacent because they share the same vertex and the same common side.

∠2 and ∠5 are vertical angles since they have pairs on opposite sides of the angle.

∠3 and ∠6 have none of the above.

∠5 and ∠3 are a linear pair because the angles are opposite of each other.

8 0

2 years ago

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

yan [13]

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

4 0

3 years ago