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Ipatiy [6.2K]
3 years ago
8

]7. A zucchini plant in Darnell’s garden was 13 centimeters tall when it was first planted. Since then, it has grown approximate

ly 0.6 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 0.208 meter tall?
Mathematics
1 answer:
Pani-rosa [81]3 years ago
5 0

Let d be the number of days and h be the height

h = 13 + 0.6d


Answer: (a) h = 13 + 0.6d


Given height = 0.208m, find d:


0.208m = 20.8 cm


20.8 = 13 + 0.6d

0.6d = 20.8 - 13 = 7.8

d = 7.8 ÷ 0.6 = 13


Answer: (b) 13 days






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Four times the square of a certain number increased by 6 times the number equals 108. Find the number
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Is Is y=2x+7 proportional?
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no

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2 years ago
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Circles are described below by the coordinates of their centers, C, and one point on their circumference, A. Determine an equati
Art [367]

Using the given center and point at the circumference, the equation of the circles are:

  • a) (x - 5)^2 + (y - 2)^2 = 100
  • b) (x + 2)^2 + (y + 5)^2 = 169
  • c) (x - 5)^2 + (y + 1)^2 = 65

<h3>What is the equation of a circle?</h3>
  • The equation of a circle of radius r and center (x_0,y_0) is given by:

(x - x_0)^2 + (y - y_0)^2 = r^2

Item a:

  • Center C(5,2), hence x_0 = 5, y_0 = 2.

The point at the circumference is A(11,10), hence:

(x - 5)^2 + (y - 2)^2 = r^2

(11 - 5)^2 + (10 - 2)^2 = r^2

r^2 = 100

Hence:

(x - 5)^2 + (y - 2)^2 = 100

Item b:

  • Center C(-2,-5), hence x_0 = -2, y_0 = -5.

The point at the circumference is A(3,-17), hence:

(x + 2)^2 + (y + 5)^2 = r^2

(3 + 2)^2 + (-17 - 5)^2 = r^2

r^2 = 169

Hence:

(x + 2)^2 + (y + 5)^2 = 169

Item c:

  • Center C(5,-1), hence x_0 = 5, y_0 = -1.

The point at the circumference is A(-2,-5), hence:

(x - 5)^2 + (y + 1)^2 = r^2

(-2 - 5)^2 + (-5 + 1)^2 = r^2

r^2 = 65

Hence:

(x - 5)^2 + (y + 1)^2 = 65

You can learn more about equation of a circle at brainly.com/question/24307696

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