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Alika [10]
3 years ago
7

An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with

the model airplane be?
Question 2 options:

2 inches


16 inches


10.875 inches


21.75 inches
Mathematics
1 answer:
aivan3 [116]3 years ago
7 0
I think the correct answer is 10.875
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Find the slope from the given table<br>​
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(8-7)/(-3-0)= -1/3
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Can you please show work please
-BARSIC- [3]

Answer:

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Hope this helps :)

Have a great day!

3 0
2 years ago
Problem: A piece of farmland is a watering plot of land in a circular pattern. A sewer line needs to be installed from a new hou
Musya8 [376]

The entry and exit points of (2, 3), and (12, 6), and 200 ft. extension of the sprinkler system gives;

(1) The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

(2) The longest installable sprinkler system is approximately 172.4 feet

<h3>How can the points where the line crosses the farmland be found?</h3>

1. The slope of the sewer line is found as follows;

  • m = (6 - 3)/(12 - 2) = 3/10 = 0.3

The equation of the sewer line can be expressed in point and slope form as follows;

  • (y - 3) = 0.3×(x - 2)

y = 0.3•x - 0.6 + 3

y = 0.3•x + 2.4

The equation of the circumference of the sprinkler can be expressed as follows;

  • (x - 8)² + (y - 3)² = 2²

Therefore;

(x - 8)² + (0.3•x + 2.4 - 3)² = 2²

Solving gives;

x= 6.53, or x = 8.48

y = 0.3×6.53 + 2.4 = 4.36

y = 0.3×8.48 + 2.4 = 4.9

Therefore;

  • The sewer line crosses the farmland at (6.53, 4.36), and (8.48, 4.9)

2. When the farmland does not cross the sewer line, we have;

sewer line is tangent to circumference of farmland

Slope of radial line from center of the land is therefore;

m1 = -1/0.3

Equation of the radial line to the point the sewer line is tangent to the circumference is therefore;

y - 3 = (-1/0.3)×(x - 8)

Which gives;

y = (-1/0.3)×(x - 8) + 3

The x-coordinate is therefore;

0.3•x + 2.4 = (-1/0.3)×(x - 8) + 3

  • x ≈ 7.5

  • y = 0.3 × 7.5 + 2.4 ≈ 4.65

The longest sprinkler system is therefore;

d = √((7.5 - 8)² + (4.65 - 3)²) ≈ 1.724

Which gives;

  • The longest sprinkler system is 1.724 × 100 ft. ≈ 172.4 ft.

Learn more about the equation of a circle here:

brainly.com/question/10368742

#SPJ1

3 0
2 years ago
What is the slope of the line that passes through the points (-4, -2) and (-4, -22)? Write your answer in simplest form.
aliina [53]

Answer:

Your answer is: Undefined

Use the slope formula to find the slope  m .

Step-by-step explanation:

Hope this helped : )

3 0
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