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marysya [2.9K]
3 years ago
7

URGENT What is the distance between the two points (-5, 6) and (8,-4)?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
8 0

Given parameters:

Coordinates of the two points = (-5, 6) and (8,-4)

Unknown:

Distance between the two points.

To find the distance between two points, use the expression below;

  Distance ²  = (x₂ - x₁)² + (y₂ - y₁)²

where;

(-5, 6) and (8,-4)

         x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6

Input the parameters and solve;

 Distance²  =  (8-(-5))²  +  (-4 - (6))²

                    = 169 + 100

                    = 269

Distance = \sqrt269}   = 16.4

The distance between the two points is 16.4

Kaylis [27]3 years ago
4 0

Answer:

x1 = -5   x2 = 8

y1 = 6   y2 = -4

Distance = Square Root ((x2 - x1) ^2 + (y2 -  y1)^2)=

Sqr root [(8 --5) ^ 2 + (-4 -6) ^ 2] =

Sqr root [13^2 + (-10)^2] =

Sqr root [169 + 100]

= Sqr root [269] = 16.4012194669

Source: http://www.1728.org/distance.htm

Step-by-step explanation:

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A football team plays in a large stadium. With a ticket price of ​$17​, the average attendance at recent games has been 50,000.
Verizon [17]

Answer:

a. N(x) = 50000 - 200x

b. R(x) = (50000-200x)(17+x)

Step-by-step explanation:

a. Given,

The the original price of each ticket = $ 17,

Also, the average attendance = 50,000

Let x be the number of times the original price of each ticket is increased by $ 1,

Also, for each​ $1 increase in the ticket​ price, attendance decreases by 200,

Thus, decrements in the attendance = 200x,

If N(x) represents the new average attendance,

Then,

N(x) = 50000 - 200x

Which is the required function,

b. Now,

Revenue = average attendance × price of each ticket

R(x) = N(x) × ( 17 + x )

⇒ R(x) = (50000-200x)(17+x)

Which is the required function.

3 0
3 years ago
What is the quotient of 2 3/4 and 5 1/2?
Juli2301 [7.4K]

Answer:

  1/2

Step-by-step explanation:

This can be done several ways. Perhaps the easiest is to use the decimal equivalents:

  (2 3/4)/(5 1/2) = 2.75/5.5 = 0.5

__

If you want to use the numbers given, the usual procedure is to convert them to improper fractions and do the division that way:

  2 3/4 = (4·2 +3)/4 = 11/4

  5 1/2 = (2·5 +1)/2 = 11/2

Now, the problem can be written as ...

  (2 3/4) / (5 1/2) = (11/4) / (11/2)

This sort of division problem can be solved two ways:

  <u>invert and multiply</u> (the denominator is inverted)

  = (11/4) × (2/11) = (11·2)/(11·4) = 2/4 = 1/2

  <u>use a common denominator</u> (for the two fractions)

  = (11/4) / (11/2) = (11/4) / (22/4) = 11/22 = 1/2

The quotient is 1/2.

_____

<em>Additional comments</em>

It is helpful in many cases to just use decimal equivalents for the calculation. To do that, you need to be familiar with the equivalents of commonly used fractions. I find it is usually sufficient to know the unit fractions in each case. Then you can multiply or add to find the others.

1/9 = 0.1...(1-digit repeat), 1/8 = 0.125, 1/7 = 0.142857...(6-digit repeat), 1/6 = 0.16...(1-digit repeat), 1/5 = 0.2, 1/4 = 0.25, 1/3 = 0.3...(1-digit repeat), 1/2 = 0.5

__

I learned the "invert and multiply" method for dividing fractions when I was in school. The Common Core math apparently also teaches the method of matching the denominators of a compound fraction. Then the result is the ratio of numerators. (A variation not taught is that you can match the numerators and use the inverse of the ratio of denominators. Both of these methods can be validated using the "invert and multiply" method. (11/4)/(11/2) = 2/4)

"Invert and multiply" is another way of saying that division is the same as multiplication by the reciprocal. This applies everywhere, not just in fraction problems.

8 0
3 years ago
Please help me I don't understand and this is due by the end of the day.
Nitella [24]

Answer:

well you used 6.4 pounds of flour to make bread which means you have 9.6 pounds left so you could make about 14 batches

Step-by-step explanation:

3 0
3 years ago
BRAINLIEST + POINTS! EASY PLEASE EXPLAIN!
dmitriy555 [2]

An upper extreme is the highest number on the number line give. So the Upper extreme is 11


6 0
3 years ago
Read 2 more answers
Translate and solve: 3x less than 2 times the sum of 2x and 1 is equal to the sum of 2 and 5. X=
Sauron [17]

Answer:

3 x = 2 = 2 x = 1 = 2 = 5 X =

Step-by-step explanation:

Use the given functions to set up and simplify

5X.

im pretty sure this is right, butt if its not im sorry <3

6 0
3 years ago
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