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Contact [7]
3 years ago
6

Write an equation if the line that passes through (0,-3) and (3,3) .

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

y = 2x - 3

Step-by-step explanation:

y = mx + b

m = (y2-y1)/(x2-x1)

m = (3-(-3))/(3-0)

m = 6/3

m = 2

y = mx + b

y = 2x + b

3 = 2(3) + b

3 = 6 + b

b = -3

therefore

y = 2x - 3

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3 years ago
Part 1: Use the information provided to write the standard form equation of each circle. Please show the work.
dusya [7]

Answer:

1. (x + 2)² + (y - 9)² = 64

2. (x + 6)² + (y - 9/2)² = 100

3. (x - 15)² + (y + 10)² = 1

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

1. Center: (-2, 9), Radius: 8

(x - (-2))² + (y - 9)² = 8²

(x + 2)² + (y - 9)² = 64

2. Center: (-6, 9/2), Radius: 10

(x - (-6))² + (y - (9/2))² = 10²

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3. Center: (15, -10), Radius: 1

(x - 15)² + (y - (-10))² = 1²

(x - 15)² + (y + 10)² = 1

4 0
3 years ago
Y is directly proportional to x.
Anna35 [415]

Answer: Our required equation would be

Step-by-step explanation:

Since we have given that

y=30, when x = 6.

As there is direct proportion between x and y.

so, it becomes,

So, the equation connecting y and x would be

When we put the value of k, we get that

Hence, our required equation would be y=5x

5 0
1 year ago
How will knowing plants needs help you choose a plant to help stop soil from washing away
algol13

Answer:

Plants are restrictive to flow of eroding agents, bind soil in their roots.

Step-by-step explanation:

Soil Erosion is the wearing away of the topmost fertile layer of soil. Topsoil gets eroded mainly due to wind, water agents.

Plants help to prevent soil from erosion in following ways :

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  • Plants roots also bind the soil tightly, & make soil stronger to be eroded by erosive agents - water, air. Eg : Shrubs , trees, grass & ground are important soil erosion preventive plants, because of their extensive root systems.

8 0
3 years ago
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