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Afina-wow [57]
3 years ago
9

Find the value of b+7 when b=19​

Mathematics
2 answers:
Leona [35]3 years ago
7 0

use the substitution method

b+7

19+7

Answer: 26

Taya2010 [7]3 years ago
3 0

Answer:

26

Step-by-step explanation:

Just change every b in the equation with 19.

(19) + 7 = 26.

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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
A twelve-sided die has the numbers one through twelve on the faces of the die. When the die is rolled, what is the probability t
Goshia [24]
I believe the percentage of this is 50%. Half the numbers are even, and half are odd. Your fraction is
\frac{6}{12}
Simplified, that's a 50% probability.
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What is 2 gallons turned into cups
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Answer:

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Step-by-step explanation:

There are 16 cups in one gallon, therefore there are 32 cups in two.

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Answer:

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Step-by-step explanation:

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Well if you divided you would get 8 as your answer. Hope this helped! and i like turtles too the're sooo cute!
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