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Alekssandra [29.7K]
2 years ago
12

Find the distance between the two points in simplest radical form.

Mathematics
1 answer:
sweet-ann [11.9K]2 years ago
8 0

Answer:

3\sqrt{13}

Step-by-step explanation:

Calculate the distance using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = \sqrt{(-3-(-9))^2+(-1-8)^2}

  = \sqrt{(-3+9)^2+(-9)^2}

  = \sqrt{6^2+81}

   = \sqrt{36+81}

   = \sqrt{117}

   = \sqrt{9(13)}

   = \sqrt{9} × \sqrt{13}

   = 3\sqrt{13}

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I need help on this question please
Fynjy0 [20]

Answer: NEITHER

Step-by-step explanation:

From the equation of lines given above, to know if relationships exist between the two lines, we must  first determine that  from their gradients or slopes.

From first equation

2x - y = 5,

      y = 2x - 5

Therefore, m₁ = 2

From the second equation

3x - y = 5

       y = 3x - 5

Therefore m₂ = 3

Recall, For the two lines to be parallel, m₁ = m₂ , and for the two line to be perpendicular, m₁m₂ = -1

since none fulfilled the conditions stated above, the answer then is

NEITHER

5 0
3 years ago
Prove that the Greatest Integer Function f: R -> R given by f(x) = [x], is neither one-once nor onto, where [x] denotes the g
Karo-lina-s [1.5K]
F: R → R is given by, f(x) = [x]
It is seen that f(1.2) = [1.2] = 1, f(1.9) = [1.9] = 1
So, f(1.2) = f(1.9), but 1.2 ≠ 1.9
f is not one-one

Now, consider 0.7 ε R
It is known that f(x) = [x] is always an integer. Thus, there does not exist any element x ε R such that f(x) = 0.7

So, f is not onto
Hence, the greatest integer function is neither one-one nor onto.

The answer was quite complicated but I hope it will help you.
8 0
3 years ago
The volume of a cone is 62.8 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the n
Salsk061 [2.6K]

Answer:

R = sqrt 3 * (V /( pi * h))

V = 62.8

pi = 3.14

h = 15

now we sub

R = sqrt 3 * (62.8 / (3.14 * 15)

R = sqrt 3 * (62.6 / 47.1)

R = sqrt 3 * 1.33

R = sqrt 3.99

R = 1.9 rounds to 2 inches <===

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What number am i missing please only tell me the one missing!!!
makvit [3.9K]

Answer:

16

Step-by-step explanation:

40 can be multiplied by 5, 8 times. 8 multiplied by 2 is 16.

4 0
2 years ago
Which triangles can have two sides of the same lenghth
grin007 [14]
The answer is Isosceles triangle
5 0
2 years ago
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