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3 years ago

Use the Distance Formula to find the distance between (5, - 4) and (0, 8).

Mathematics

1 answer:

gogolik [260]3 years ago

8 0

Answer:

13 units

Step-by-step explanation:

Let d be the distance between given points.

$\therefore \: d = \sqrt{ {(5 - 0)}^{2} + ( - 4 - 8)^{2} } \\ \hspace{16 pt}= \sqrt{ {(5)}^{2} + ( - 12)^{2} } \\ \hspace{16 pt}= \sqrt{ 25 + 144 } \\ \hspace{16 pt}= \sqrt{ 169 } \\ \therefore \: d =13 \: units \\$

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Mai made 6 cups pf vegetable soup and divided the soup equally among 8 containers. how much soup went in each container

Alex787 [66]

the answer is 0.75

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3 0

2 years ago

Read 2 more answers

Need help with this problem:

Nitella [24]

Answer:

Henson: 3x + y = 163

Garcia: 2x + 3y = 174

adult ticket price: $45

child ticket price: $28

Step-by-step explanation:

Henson Family:

3 adults + 1 child; total $163

3x + y = 163

Garcia Family:

2 adults + 3 children; total $174

2x + 3y = 174

Now we solve the system of equations.

Solve the first equation (Henson Family) for y.

y = 163 - 3x

Substitute 163 - 3x for y in the second equation (Garcia Family).

2x + 3y = 174

2x + 3(163 - 3x) = 174

2x + 489 - 9x = 174

-7x + 489 = 174

-7x = -315

x = 45

Now substitute 45 for x in the first original equation and solve for y.

3x + y = 163

3(45) + y = 163

135 + y = 163

y = 28

adult ticket price: $45

child ticket price: $28

8 0

3 years ago

What is the equation of the best-fitting regression line? Find this in two ways. First, using the regression analysis part of th

Lemur [1.5K]

Step-by-step explanation:

Regression analysis is used to infer about the relationship between two or more variables.

The line of best fit is a straight line representing the regression equation on a scatter plot. The may pass through either some point or all points or none of the points.

Method 1:

Using regression analysis the line of best fit is: $y=\alpha +\beta x+e$