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gogolik [260]
1 year ago
5

Write the equation of the line passing through the point (a, b) and having a slope m.​

Mathematics
1 answer:
allochka39001 [22]1 year ago
3 0

The equation of the line is b = am + c

<h3>What are linear equations?</h3>

Linear equations are equations that have a constant slope, average rate of change or gradients

<h3>How to determine the line equation?</h3>

The point is given as

(x, y) = (a, b)

The slope is given as

Slope = m

A linear equation is represented as

y = mx + c

Where me represents the slope

Substitute (x, y) = (a, b)

b = am + c

Hence, the equation of the line is b = am + c

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

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A. 1) Given
SCORPION-xisa [38]

<u>Reasons</u>

  1. Given
  2. A midpoint splits a segment into two congruent parts
  3. A triangle with a right angle is a right triangle
  4. HL

8 0
2 years ago
Suppose that an insect population’s density, in thousands per acre, during year n, can be modeled by the recursive formula: a1 =
vlabodo [156]

Answer:

The population alternates between increasing and decreasing

Step-by-step explanation:

<u><em>The options of the question are</em></u>

A) The population density decreases each year.

B) The population density increases each year.

C) The population density remains constant.

D) The population alternates between increasing and decreasing

we have

a_n=2.9(a_n_-_1)-0.2(a_n_-_1)^2

a_1=8

Find the value of a_2

For n=2

a_2=2.9(a_1)-0.2(a_1)^2

a_2=2.9(8)-0.2(8)^2=10.4

Find the value of a_3

For n=3

a_3=2.9(a_2)-0.2(a_2)^2

a_3=2.9(10.4)-0.2(10.4)^2=8.528

For n=4

a_4=2.9(a_3)-0.2(a_3)^2

a_4=2.9(8.528)-0.2(8.528)^2=10.1858

For n=5

a_5=2.9(a_4)-0.2(a_4)^2

a_5=2.9(10.1858)-0.2(10.1858)^2=8.7887

therefore

The population alternates between increasing and decreasing

7 0
3 years ago
Read 2 more answers
What is the answer to <br> 72 divide 0.75
Alex Ar [27]

Answer:

96

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A web server hosting company advertises 99.999 percent guaranteed network uptime. (a) how many independent network servers would
miv72 [106K]
The solution for this problem would be:
Given that there is 99.999%.

Let denote n as the network servers and p as the reliability of each server.
So the probability that the network uptime = 1 - (1 - p)^n

Therefore, (1-p) ^n = 0.00001


a. x= log(1-.99999)÷log(1-.97)= 3.2833 is the answer


1-(1-.97)^3= 0.99999 + 0.0001 = 1


b. x = log(1-.99999)÷log(1-.88) = 5.43 is the answer


1-(1-.88)^3= 0.99 + 0.0001 = approx 1
4 0
2 years ago
How many minutes are there in 2 3/5 hours
mars1129 [50]

156 minutes.

To find this, remember that an hour has sixty minutes. With this information, it is also given that there are two hours, thus meaning that we have to multiply sixty by two. This will give you 120. Next, you need to figure out the 3/5's portion of an hour. To find 1/5 of an hour, simply divide sixty by five. With that, you get the answer of 12. But because it says 3/5, you need to multiply 12 by 3, giving you 36. Finally, you add 36 to 120 to get the final answer of 156.

Hope this helps!

5 0
2 years ago
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