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ololo11 [35]
4 years ago
6

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided or use the upload option to submit your solution.
(-3, 5) and (-2, -6)
Mathematics
1 answer:
romanna [79]4 years ago
5 0

Answer:

11x+y = -28

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y2)/(x2-x1)

   = (-6-5)/ (-2--3)

   = -11(-2+3)

   = -11/1

The slope is -11

We can use point slope to make an equation

y-y1 = m (x-x1)

y-5 = -11(x--3)

y -5 = -11(x+3)

Distribute

y-5 = -11x-33

Add 5 to each side

y-5+5 = -11x-33+5

y = -11x-28

Add 11x to each side

11x+y = -11x+11x-28

11x+y = -28

This is the standard form of a line

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3 years ago
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A sample of computer tablet batteries has a mean battery life of 28 months and standard deviation of 4 months. What is the lifes
Ulleksa [173]

Using the Empirical Rule, it is found that the lifespans, in months, are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

<h3>What is the Empirical Rule?</h3>

It states that, for a normally distributed random variable:

  • Approximately 68% of the measures are within 1 standard deviation of the mean.
  • Approximately 95% of the measures are within 2 standard deviations of  the mean.
  • Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Hence, considering the mean of 28 months and the standard deviation of 4 months, the life spans are given by:

1. 24 and 32.

2. 20 and 36.

3. 16 and 40.

More can be learned about the Empirical Rule at brainly.com/question/24537145

5 0
2 years ago
A rectangular prism has a length of 5 meters, a width of 6 3/4 meters, and a height of 3 1/2 meters. What is the volume of the p
kirza4 [7]

Answer:

<h2>118.13 m³</h2>

Step-by-step explanation:

Given,

Length ( l ) = 5 meters

Width ( w ) = 6 \frac{3}{4} meters

Height ( h ) = 3  \frac{1}{2} meters

Now, Let's find the volume of rectangular prism :

volume \:  = l \:  \times  \: w \:  \times  \: h

plug the values

= 5 \times  \frac{27}{4}  \times  \frac{7}{2}

Calculate the product

= \frac{5 \times 27 \times 7}{4 \times 2}

=  \frac{945}{8}

= 118.13 \:  {m}^{2}

Hope this helps..

Best regards!!

7 0
3 years ago
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Step-by-step explanation:

the third of 7 consecutive numbers is 12.

so, this looks like

..., ..., 12, ..., ..., ..., ...

that means the numbers have to be

10, 11, 12, 13, 14, 15, 16

the sum is then

16+10 + 15+11 + 14+12 + 13 = 3×26 + 13 = 91

4 0
2 years ago
3. Find the perimeter of the diagram. Round to the nearest<br> hundredth.
SpyIntel [72]

Answer:

I think the perimeter of the diagram is 5 and if you round it like

If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right. (In the example above, the hundredths digit is a 4 , so you would get 51.0 .) To round a number to the nearest hundredth , look at the next place value to the right (the thousandths this time).

7 0
3 years ago
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