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vladimir2022 [97]
2 years ago
12

Find the equation for the circle with center (-2,4) and passing through (-1,- 4).

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

Answer:

(x+2)^2 + (y-4)^2 = 65

Step-by-step explanation:

r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65

center = (-2, 4) so you add 2 to x and subtract 4 from y

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Samantha is studying the population growth of an endangered birth. The growth can be modeled by the equation B(t) 100 + 3/5t^5 ,
solong [7]

The value of the population of the growth of an endangered birth after 5 years is 1975

<h3>How to determine the population after 5 years?</h3>

The population function is given as:

B(t) = 100 + 3/5t^5

At 5 years, the value of t is 5

So, we have

t = 5

Next, we substitute 5 for t in the equation B(t) = 100 + 3/5t^5

This gives

B(5) = 100 + 3/5 * 5^5

Evaluate the exponent

B(5) = 100 + 3/5 * 3125

Evaluate the product

B(5) = 100 + 1875

Evaluate the sum

B(5) = 1975

Hence, the value of the population of the growth of an endangered birth after 5 years is 1975

Read more about exponential functions at:

brainly.com/question/2456547

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4 0
1 year ago
Complete the equation of the line through (2, -2) and (4,1)
Ann [662]

Answer:

y = 3/2x - 5

Step-by-step explanation:

To find the equation of the line

Step 1: find slope

( 2 , -2) ( 4 , 1)

x_1 = 2

y_1 = -2

x_2 = 4

y_2 = 1

Insert the values into

m = (y_2 - y_1) / (x_2 - x_1)

m = ( 1 - (-2) / (4 - 2)

= ( 1 + 2) / ( 4 -2 )

= 3 / 2

m = 3/2

Step 2: substitute m into the equation

y = mx + c

y = 3/2x + c

Step 3: substitute any of the two points into the equation

Let's pick (4 , 1)

x = 4

y = 1

y = 3/2x + c

1 = 3/2(4) + c

1 = 3*4/2 + c

1 = 12/2 + c

1 = 6 + c

1 - 6 = c

c = 1 - 6

c = -5

Step 4 : substitute c into the equation

y = 3/2x + c

y = 3/2x - 5

The equation of the line is

y = 3/2x - 5

3 0
3 years ago
Fire disturbance of terrestrial biomes is one of the primary factors in non-native plant species growth. A 2014 study by Pec and
Amiraneli [1.4K]

Answer:

Step-by-step explanation:

answer is attached below

7 0
3 years ago
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Which expression is equivalent to 4h ÷ 5?
Tom [10]

Answer: 4h/5

Step-by-step explanation:

4 0
2 years ago
Simplify 12 + 3(2x - 3) + 4.<br> A.6x - 3<br> B.6x + 7<br> C.6x + 13
nika2105 [10]

Step-by-step explanation:

12+6x-9+4

6x+7

option B

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3 years ago
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