Passes through (-6,5) and parallel to 2x-3y=12

Answers

Answer 1
Answer: Steps:
1. Do the point slope form
Y-Y1=m(x-x1)
Y-5=2(x + 6)
Y-5=2x +12
2. Now you add 5 to the number 12
3. Your answer is
Y=2x +17

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Tell which measure of central tendency best describes the data. Time spent on Internet (min/day): 75 38 43 120 65 48 52 A. Mean B. Median C. Mode

Answers

Answer:

B. Median

Step-by-step explanation:

We have been given data about time spent on Internet (min/day). We are asked to determine the best measure of central tendency for the given data.

Data: 75, 38, 43, 120, 65, 48, 52,

We can see that our given data has a very large value outlier (120), so it will increase the mean.

There is no mode for the given data set as no value repeats.

We know that median is best measure for data set with large valued outliers because median is not affected by outliers.

Therefore, option B is the correct choice.

The measure of central tendency that best describes the data is B. Median.

Which measure of central tendency best describes the data on time spent on the Internet?

Mean:

= (75 + 38 + 43 + 120 + 65 + 48 + 52) / 7

= 69.86

Median:

We arrange data in ascending order: 38, 43, 48, 52, 65, 75, 120. Since there are seven values, the median is the middle value: 52

Mode: There is no value that appears more than once in the data set.

Therefore, the measure of central tendency that best describes the data is B. Median.

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What is the difference between: |x+3| = 10 & |x| + 3 = 10

Answers

Answer:

Step-by-step explanation:

|x+3| = 10  means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)

|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)

However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.

I hope this helps give you an idea of what you're looking at, though :)

I would love the help!(Geometry S2).

Answers

Answer:

  • 2

Step-by-step explanation:

  • a² + a² = c²
  • 2a² = c², this is the step you are at
  • a√2 = c

This proves the hypotenuse is √2 times the side.

Find the measure of the third side of the triangle given the measures of two sides.6ft and 19ft

I don't know how to get the third side.

Answers

Knowing the length of 2 sides is not enough to nail down the length of the
third side.  There are an infinite number of possibilities that it could be.

Here's what you have now:  You have two sticks.  One of them is 6-ft long,
and the other one is 19-ft long, and they're joined together at one end
with a hinge.  You can open them wide, or you can close them down to
a narrow slit.  Whatever you do with them, you can always join their
other ends with another stick.  It may be short, or it may have to be
long.  Knowing the lengths of the first two sticks doesn't tell you the
length of the stick you need in order to make a triangle.

(So don't feel too bad that you don't know how to get the third side.
There isn't a way.)

Final answer:

Without information about the angle between the two sides of the triangle, the third side's length can only be estimated to be between 13 and 25 feet.

Explanation:

In mathematics, you can often use the Pythagorean theorem to find the length of the third side of a triangle. This theorem, which applies to right triangles, states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In your case, however, without any information concerning the angle between these two sides, we cannot determine a unique value for the length of the third side. The third side will have a value that lies between 13 ft and 25 ft, depending on the angle between the two sides.

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Reggie and Courtney are picking up trash along the highway. Together they have collected 15 bags of trash.Courtney has collected 3 more bags then Reggie. How many bags have they each collected?

Answers

Bags collected by reggie and Courtney are 6, 9 respectively.

SOLUTION:

Given, Reggie and Courtney are picking up trash along the highway.  

Together they have collected 15 bags of trash.

Courtney has collected 3 more bags then Reggie.  

We have to find how many bags have they each collected?

Let the number bags collected by reggie be n, then number of bags collected by Courtney will be 15 – n.

Now, according to the given information,

Number of bags with Courtney = 3 + number of bags with reggie

15 – n = 3 + n

n + n = 15 – 3

2n = 12

n = 6

so, reggie collected 6 bags, then, Courtney collected 15 – 6 = 9 bags.

Hence, bags collected by reggie and Courtney are 6, 9 respectively

What's the value of log2 (1/8) ?

Answers

log_aa^p=p\n------\n\nlog_2 ( (1)/(8) ) =log_28^(-1)=log_2(2^3)^(-1)=log_22^(-3)=-3\n\nAns.\ -3

The correct answer for the value log_(2)(1)/(8)   is equal to -3.

What is Logarithm?

In mathematics, Logarithms are defined a  way of expressing exponents. A logarithm is defined as the power to which a number must be raised to get some other values.

The expression for logarithm of a number is written as ㏒ₓb = y.

Properties of Logarithm:

log_(x) (x^n) = n

The value of log_(2)(1)/(8) can be calculated by recognizing that (1)/(8) is equal to 2 raised to the power of -3.

log_(2)(1)/(8)   = log_(2)(2^(-3))

From the property of logarithm:

log_(2)(2^(-3))

= -3

The value of  log_(2)(1)/(8) is -3.

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