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3 years ago

If A = (-2, -4) and B = (-8, 4), what is the length of AB?

Mathematics

2 answers:

svetoff [14.1K]3 years ago

5 0

Answer: OPTION D

Step-by-step explanation:

To solve this exercise you must use the formula for calculate the distance between two points, which is shown below:

$d_{(A,B)}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Now, you must substitute the points given in the problem into the formula:

A(-2,-4)

B(-8,4)

$d_{(A,B)}=\sqrt{(-8-(-2))^2+(4-(-4))^2}$

Then, the result is:

$d_{(A,B)}=10units$

mars1129 [50]3 years ago

4 0

Answer:

Choice D is correct answer.

Step-by-step explanation:

We have given two points.

A = (-2, -4) and B = (-8, 4)

We have to find length of AB.

We use distance formula to find distance between two points.

d = √(x₂-x₁)²+(y₂-y₁)²

Let A = (x₁,y₁) = (-2, -4) and B = (x₂,y₂) = (-8, 4)

Putting above values in formula, we have

d = √(-8-(-2))²+(4-(-4))²

d = √(-8+2)²+(4+4)²

d = √(-6)²+(8)²

d = √36+64

d = √100

d = 10 units

Hence , The length of AB is 10 units.

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garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be x yards.

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We know that the square of the diagonal is sum of the squares of the length and width.

So,

$(3x)^{2} +x^{2} =(x+5)^{2}$

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$9x^{2}-10x-25=0$

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Since, side can't be negative.

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4 0

3 years ago

Someone help me out

Alexeev081 [22]

It’s B because I got it right

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3 years ago

The diameter of the dot produced by a printer is normally distributed with a mean diameter of 0.002 inch. Suppose that the speci

Leni [432]

Answer:

0.0002 inch

Step-by-step explanation:

The empirical rule of the normal distribution, the 68-95-99.7 rule, means

if the mean is μ and the standard deviation is σ,

68% of data lies within μ - σ and μ + σ,

95% of data lies within μ - 2σ and μ + 2σ,

99.7% of data lies within μ - 3σ and μ + 3σ.

From the question, μ = 0.002.

The required range is 0.0014 to 0.0026.

With a probability of 0.9963, then 0.9963 × 100% = 99.63% should lie within the range. This approximately corresponds to μ - 3σ and μ + 3σ.

μ - 3σ = 0.0014

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σ = 0.0002

Hence, the standard deviation is 0.0002 inch

We can check with the other end of the range:

μ + 3σ = 0.0026

3σ = 0.0026 - 0.002

3σ = 0.0006

σ = 0.0002

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