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AleksandrR [38]
3 years ago
13

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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A farmer plans to fence a rectangular corral. The diagonal distance from one corner of the corral to the opposite corner is five
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 <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

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}

9x^{2} +x^{2} =x^{2}+10x+25

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

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

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
3 years ago
Someone help me out ​
Alexeev081 [22]
It’s B because I got it right
7 0
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 <em>μ</em> and the standard deviation is <em>σ</em>,

68% of data lies within <em>μ </em>- <em>σ</em> and <em>μ </em>+ <em>σ</em>,

95% of data lies within <em>μ </em>- 2<em>σ</em> and <em>μ </em>+ 2<em>σ</em>,

99.7% of data lies within <em>μ </em>- 3<em>σ</em> and <em>μ </em>+ 3<em>σ.</em>

<em />

From the question, <em>μ</em> = 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 <em>μ </em>- 3<em>σ</em> and <em>μ </em>+ 3<em>σ.</em>

<em>μ </em>- 3<em>σ</em> = 0.0014

0.002 - 3<em>σ</em> = 0.0014

3<em>σ</em> = 0.0006

<em>σ</em> = 0.0002

Hence, the standard deviation is 0.0002 inch

We can check with the other end of the range:

<em>μ </em>+ 3<em>σ</em> = 0.0026

3<em>σ</em> = 0.0026 - 0.002

3<em>σ</em> = 0.0006

<em>σ</em> = 0.0002

7 0
3 years ago
Qual o resultado da expressão 2m elevado a 2-5m+3,para m=3?
ipn [44]
The answer is m=4 because -3+2+5
7 0
3 years ago
Find the value of each variable
yanalaym [24]

Answer:

Step-by-step explanation:

30

8 0
3 years ago
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