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lyudmila [28]
3 years ago
9

Calculate the distance between the points (-1, 3) and (4, -1).

Mathematics
2 answers:
BigorU [14]3 years ago
5 0

The distance between those two points is 41 and in decimal form to the nearest tenth, that's 6.4

Explanation:

Use the distance formula: √(x2 - x1)² + (y2 - y1)²

Then we plug in our x's and y's:

√(4 - (-1))² + ((-1) - 3)²

Then you simplify:

√(5)² + (-4)²   = √25 + 16

√41 (And if you need to, you can put this into decimal form.)

Tamiku [17]3 years ago
3 0

Answer:

6.4

Step-by-step explanation:

Use the distance formula and then fill in points for the variables.

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Step-by-step explanation:

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4 0
3 years ago
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Sphinxa [80]
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8 0
3 years ago
The function h (d) = 2d + 4.3 relates the height (h) of the water in a fountain in feet to the diameter (d) of the pipe carrying
mezya [45]

Answer:

h(1.5) = 7.3 ft

h(10.3) = 24.9 ft

Step-by-step explanation:

Given the function h(d) = 2d + 4.3,

where:

h = height of the water in a fountain (in feet)

d = diameter of the pipe carrying the water (in inches)

<h3>h(1.5)</h3>

Substitute the input value of d = 1.5, into the function:

h(1.5) = 2(1.5) + 4.3

h(1.5) = 3 + 4.3

h(1.5) = 7 feet

The height of the water in a fountain is 7 feet when the diameter of the pipe is 1.5 inches.

<h3>h(10.3)</h3>

Substitute the input value of d = 10.3, into the function:

h(10.3) = 2(10.3) + 4.3

h(10.3) = 20.6 + 4.3

h(10.3) = 24.9 feet

The height of the water in a fountain is 24.9 feet when the diameter of the pipe is 10.3 inches.

<h3>Context of the solutions to h(1.5) and h(10.3):</h3>

The solutions to both functions show the relationship between the diameter of the pipe to the height of the water in a fountain.  The height of the water in fountain increases relative to the diameter of the pipe.  In other words, as the diameter or the size of the pipe increases or widens, the height of the water in a fountain also increases.  

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2 years ago
What expression is equivalent to b+b+b+b
Brums [2.3K]

4b is equivalent to b+b+b+b

5 0
3 years ago
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A model is made of a car. The car is 9 feet long and the model is 6 inches long. What is the ratio of the length of the car to t
velikii [3]

Answer:

B

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To answer this, we need to see the to see to the fact that they are both in the same unit before we can take the ratio.

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Now we are told to get the ratio of length of car to length of model.

This means 108:6 = 18:1

5 0
3 years ago
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