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siniylev [52]
2 years ago
14

Graph a line with a y-intercept of -3 and a slope of 1/2

Mathematics
1 answer:
OleMash [197]2 years ago
4 0

Answer:

A

Step-by-step explanation:

(0,-3), (2,-2), (4, -1), (6,0) are on the line and (6, 0) is A

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Convert the polar equation to rectangular form: <br><br> r = 2 / [1 + sin(theta)]
iren2701 [21]
R = 2 / (1 + sin <span>θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y

Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2

x^2 + 4y - 4 


</span>
8 0
2 years ago
The surface of each crystal has an area of
Umnica [9.8K]

Answer:

10,000,000,000 × 10^-1, 1/1,000,000,000^-1

Step-by-step explanation:

Im not sure what you are asking

7 0
3 years ago
Solve <br><br> 1/5(20−10x)−8x&gt;−6x−16
Harrizon [31]

Answer:

Step-by-step explanation:

4 - 2x - 8x > -6x - 16

4 - 10x > -6x - 16

4 - 4x > -16

-4x > -20

x < 5

7 0
2 years ago
Please help me with NUMBER 7 !! Thank you so much! 20 points!! :))
mart [117]

Answer:

x<-3 or x>-1

Step by step explanation:

Start with -5x>15. To get x by itself, we have to divide each side by -5. When we do that we get x<-3. (Don't forget to flip the sign when dealing with negative  · and ÷.) Now answer the second equation. x-5>-6 To get x by itself, add 5 to both sides to get x>-1. Now we have x<3 or x>-1.

8 0
3 years ago
The town of Madison has a population of 25000 The population is increasing by a factor of 1.12 each year.
Fudgin [204]

Answer:

P(t) = 25,000*1.12^t

Step-by-step explanation:

The populational growth is exponential with a factor of 1.12 each year. An exponential function has the following general equation:

y(x) = ab^x

Where 'a' is the initial population (25,000 people), 'b' is the growth factor (1.12 per year), 'x' is the time elapsed, in years, and 'y(x)' is the population after 'x' years.

Therefore, the function P(t) that models the population in Madison t years from now is:

P(t) = 25,000*1.12^t

8 0
3 years ago
Read 2 more answers
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