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babymother [125]
2 years ago
5

Find the distance between (-4,-3) and (-8,7)​

Mathematics
1 answer:
wariber [46]2 years ago
8 0

Answer:

√116  (or 10.77)

Step-by-step explanation:

(refer to attached )

in this case the points given are (-4,-3) and (-8,7)

hence x1 = -4, y1 = -3, x2 = -8, y2 = 7

D = √[ (x2-x1)² + (y2-y1)²  ]

= √[ (  -8 - (-4) )² + (  7 - (-3)  )²  ]

= √[ (  -8 +4 )² + (  7 + 3  )²  ]

= √[ (  -4 )² + (  10  )²  ]

= √[ (  16 ) + (  100  )  ]

= √116

= 10.77

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Leno4ka [110]

Answer:

x=2+\frac{1}{2}\sqrt[]{21}

or

x=2-\frac{1}{2}\sqrt{{21}

Step-by-step explanation:

4x^2-16x-26=-21

Add 21 on both sides.

4x^2-16x-26+21=-21+21

4x^2-16x-5=0

a=4

b=-16

c=-5

x=\frac{-b\frac{+}{}\sqrt[]{b^2-4ac}  }{2a}

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x=\frac{16\frac{+}{}\sqrt[]{256+80}  }{8}

x=\frac{16\frac{+}{}\sqrt[]{336}  }{8}

x=\frac{16\frac{+}{}\sqrt[]{2^2*2^2*21}  }{8}

x=\frac{16\frac{+}{}2*2\sqrt[]{21}  }{8}

x=\frac{16\frac{+}{}4\sqrt[]{21}  }{8}

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x=\frac{16}{8}+\frac{4\sqrt[]{21}}{8}

x=2+\frac{1}{2}\sqrt[]{21}

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x=\frac{16}{8}-\frac{4\sqrt[]{21}}{8}\\x=2-\frac{1}{2}\sqrt{{21}

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shusha [124]
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  2. The relationship between the variables is direct variation.
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  4. The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

In this exercise, you're required to plot a graph for the data (velocity and time) recorded for an object that is falling from rest.

Based on the graph for the data (see attachment), we can logically deduce the following points:

  • The kind of curve obtained is linear.
  • The relationship between the variables is direct variation.
  • After 4.5 seconds, I expect the velocity to be equal to 140 ft/s.
  • The amount of time required for the object to attain a speed of 100 ft/s is 3.2 seconds.

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Plot a graph for the following data recorded for an object falling from rest

a. What kind of a curve did you obtain?

b. What is the relationship between the variables?

c. What do you expect the velocity to be after 4.5 s?

d. How much time is required for the object to attain a speed of 100 ft/s?

7 0
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|x+8|=x+8 what is x?
Darya [45]

Answer:

x ≥ 0

Step-by-step explanation:

The absolute value of x+8 equals itself, thus x must be a real number (0 or any positive number).

7 0
2 years ago
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