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Sveta_85 [38]
3 years ago
5

Find the slope between the following points:

Mathematics
1 answer:
bazaltina [42]3 years ago
7 0

Answer:

1. y = -0.6x + 5.4.

2. The entered points belong to a vertical line. There is no slope.

Equation: x = 6

3.  y = 0.16667x + 5.5.

4. The entered points belong to a vertical line. There is no slope.

Equation: x = -8.

Step-by-step explanation:

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Find the 4th term if the sequend in which a1 = 2 and a n+1 = -4a n + 2
pshichka [43]
a_n_+_1=-4a_n_+_2

dividing both sides by -4, we get:

a_n_+_2=- \frac{a_n_+_1}{4}

this means, each term is its previous term divided by -4.

now we can construct the sequence as follows:

a_1=2

a_2=- \frac{a_1}{4}= - \frac{2}{4}= -\frac{1}{2}

a_3=- \frac{a_2}{4} =- \frac{ \frac{1}{2} }{4}=- \frac{1}{8}

a_4=- \frac{a_3}{4}=- \frac{ \frac{1}{8} }{4}=- \frac{1}{32}



Answer: the last term is -1/32
3 0
2 years ago
Use the Order of Operations to simplify: 3(8 - 4*5)
aleksklad [387]

Answer:

<h2>-36</h2>

Step-by-step explanation:

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3 0
2 years ago
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41/17 rounded to the nearest hendreth
Andrews [41]

Answer:

2.47

Step-by-step explanation:

convert it to a decimal = 2.47058823....

then round that to a nearest hundredth = 2.47

3 0
3 years ago
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Find X and y<br><br> 12, 16
zavuch27 [327]

Answer:

  • x = 6√2
  • y = 6√6

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

__

<h3>x</h3>

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

__

<h3>y</h3>

  hypotenuse/long side = y/12 = (12+6)/y

  y² = 216 . . . . . multiply by 12y

  y = 6√6 . . . . . take the square root

8 0
2 years ago
Find the equation of the line using the exact numbers
Anit [1.1K]

Answer:

y = -0.25x - 6

Step-by-step explanation:

You can either just read off the slope m = -0.25 and the intersection with the vertical n = -6 or you form a system of equations from points you choose on the graph. For example:

(0,-6);(4,-7)

The general equation for a line:

y = m*x + n

The two points on the graph form a system of two equations:

1. -6 = m*0 + n

2. -7 = m*4 + n

You can read off n right away fro equation 1:

n = -6

Plugging n into equation 2:

-7 = m*4 - 6 => -1 = m*4 => m = -1/4

3 0
3 years ago
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