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Step2247 [10]
3 years ago
13

Calculate the length of the line segment. round your answer to the nearest tenth.

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

c) 8.6

Step-by-step explanation:

Take the coordinates of the two points.

(0,8) and (7,3)

Formula:

√(x₁ - x₂)² + (y₁ - y₂)²

Substitute:

√(0 - 7)² + (8 - 3)²

√(-7)² + (5)²

√(49) + (25)

√(74) ≈ 8.6

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lutik1710 [3]
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6 0
3 years ago
Questions are in the picture
gtnhenbr [62]

The closest point is (3.5, 1.9) and the distance is 1.96 units

<h3>How to determine the point and the distance?</h3>

The coordinate is given as:

(4, 0)

The equation of the function is

y = √x

The distance between two points is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

So, we have the following points

(x1, y1) = (4, 0) and (x2, y2) = (x, 0)

This gives

d = √(x - 4)^2 + (√x - 0)^2

Evaluate the difference

d = √(x - 4)^2 + (√x)^2

Evaluate the exponent

d = √x^2 - 8x + 16 + x

Evaluate the like terms

d = √x^2 - 7x + 16

Next, we differentiate using a graphing calculator

d' = (2x - 7)/[2√(x^2 - 7x + 16)]

Set to 0

(2x - 7)/[2√(x^2 - 7x + 16)] = 0

Cross multiply

2x - 7 = 0

Add 7 to both sides

2x = 7

Divide by 2

x = 3.5

So, we have:

Substitute x = 3.5 in y = √x

y = √3.5

Evaluate

y = 1.9

So, the point is (3.5, 1.9)

The distance is then calculated as:

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(3.5 - 4)^2 + (1.9 - 0)^2

Evaluate

d = 1.96

Hence, the closest point is (3.5, 1.9) and the distance is 1.96 units

Read more about distance at:

brainly.com/question/23848540

#SPJ1

3 0
2 years ago
Consider the functions f(x)=x−7 and g(x)=4x^3.
maxonik [38]

Answer:

I think A is correct

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3 years ago
The angles of a triangle are 2x, 3x, and 4x degrees. Find the value of x.
dimulka [17.4K]
<span>We have to find the value of x if the measures of the angles of a triangle are: 2 x, 3 x and 4 x. We know that the sum of the measures of the angles of a triangle is 180 degrees. A + B + C = 180. Here we have: A = 2 x, B = 3 x and C = 4 x; 2 x + 3 x + 4 x = 180; 9 x = 180; x = 180 : 9. Answer: x = 20 degrees.</span>
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3 years ago
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For the domain
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