Answer: Distance = √145
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
<u>Given information</u>
(x₁, y₁) = (4, -9)
(x₂, y₂) = (5, 3)
<u>Given formula</u>

<u>Substitute values into the formula</u>

<u>Simplify values in the parentheses</u>

<u>Simplify exponents</u>

<u>Simplify by addition</u>

Hope this helps!! :)
Please let me know if you have any questions
2 1/2 * 3
5/2 * 3/1
= 15/2
15/2 - 11 3/8
15/2 - 91/8
91/8 - 60/8
= 31/8 = 7 7/8
answer=7 7/8
The solutions to the given absolute value equation are:
x = −74 and x = 80
<h3>
How to solve the given equation for x?</h3>
Here we want to solve the absolute value equation:
(1/7)*|x - 3| - 2 = 9
To solve this, we first need to isolate the absolute value part, so we get:
(1/7)*|x - 3| - 2 = 9
(1/7)*|x - 3| = 9 + 2
(1/7)*|x - 3| = 11
|x - 3| = 11*7
|x - 3| = 77
Now we can decompose the absolute value equation into two simpler ones, which are:
x - 3 = 77
x - 3 = -77
Solving those two equations we get:
x = 77 + 3 = 80
x = -77 + 3 = -74
Thus the solutions are:
x = -74 and x = 80, we conclude that the correct option is the last one.
If you want to learn more about absolute value equations:
brainly.com/question/5012769
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Given information
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It is a cube
Length = 6.2 ft
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Find one surface
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6.2 x 6.2 = 38.44 ft²
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Find all 6 surfaces
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38.44 x 6 = 230.64 ft²
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Answer: 230.64 ft²
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The right answer is Option A.
Step-by-step explanation:
Given equation is;
y = 0.354x+4.669
Where x represents the number of miles traveled.
For measuring the cost for two stations that are 10 miles apart;
x=10
Putting in given equation

Rounding off to nearest hundredth;
y=$8.21
The cost for two stations that are 10 miles apart will be $8.21
The right answer is Option A.
Keywords: linear equation, addition
Learn more about linear equations at:
#LearnwithBrainly