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3 years ago

Find the length of segment CD with points C(2,2) and D (-1,8)

Mathematics

1 answer:

kumpel [21]3 years ago

6 0

Answer:

Step-by-step explanation:

Calculate the length using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = C(2, 2) and (x₂, y₂ ) = D(- 1, 8)

CD = $\sqrt{(-1-2)^2+(8-2)^2}$

= $\sqrt{(-3)^2+6^2}$

= $\sqrt{9+36}$ = $\sqrt{45}$ ≈ 6.7 → D

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Answer:

3 oz

Step-by-step explanation:

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3 years ago

Read 2 more answers

From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is

Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean $\overline x$ = 56

The formula for calculating the standard error can be expressed as:

$S.E = \dfrac{\sigma}{\sqrt{n}}$

$S.E = \dfrac{14}{\sqrt{49}}$

$S.E = \dfrac{14}{7}$

S.E = 2

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3 years ago

What 2 numbers multiply to be -14 and add to be -3

Svetach [21]

Xy = -14
x + y = -3

$xy = -14$
$\frac{xy}{x} = \frac{-14}{x}$
$y = \frac{-14}{x}$

$x + y = -3$
$x + \frac{-14}{x} = -3$
$\frac{x^{2}}{x} + \frac{-14}{x} = -3$
$\frac{x^{2} - 14}{x} = -3$
$x^{2} - 14 = -3x$
$x^{2} + 3x - 14 = 0$
$x = \frac{-(3) \± \sqrt{(3)^{2} - 4(1)(-14)}}{2(1)}$
$x = \frac{-3 \± \sqrt{9 + 56}}{2}$
$x = \frac{-3 \± \sqrt{65}}{2}$
$x = \frac{-3 \± 8.06}{2}$
$x = -1.5 \± 4.03$
$x = -1.5 + 4.03$ $or$ $x = -1.5 - 4.03$
$x = 2.53$ $or$ $x = -5.53$

  x + y = -3
2.53 + y = -3
- 2.53 - 2.53
  y = -5.53
  (x, y) = (2.53, -5.53)

x + y = -3
  -5.53 + y = -3
+ 5.53   + 5.53
  y = 2.53
  (x, y) = (-5.53, 2.53)

The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.

8 0

3 years ago