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3 years ago

How do the particular characteristics of an ecosystem arise?

Mathematics

1 answer:

kumpel [21]3 years ago

4 0

Answer:

Step-by-step explanation:

Ecosystems form in response to the unique but predictable climate of each geographic area. And since elevation and topography affect climate, ecosystems are different at different elevations. The life in any given ecosystem is the direct result of elevation, topography, and temperature, and rainfall patterns.

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Please help me for this question

Nezavi [6.7K]

Answer:

Mid-point: $(0,-5)$

Equation: $y=\frac{7}{3}x-5$

Step-by-step explanation:

To find the mid-point of AB, simply add up their x and y coordinates and divide by 2 respectively to find their middle point.

$(\frac{{x__A}+{x__B}}{2},\frac{{y__A}+{y__B}}{2})$

$(\frac{{-7}+{7}}{2},\frac{{-2}+{(-8)}}{2})$

$(0,-5)$

To find the perpendicular slope that passes through the mid-point, we need to know the slope between AB first.

Slope of AB: $\frac{{y__2}-{y__1}}{{x__2}-{x__1}}$ = $\frac{{-8}-{-2)}}{{7}-{(-7)}}$ = $\frac{-6}{14}$ = $\frac{-3}{7}$

Multiplying slopes that are perpendicular with each other always results in -1.

$\frac{-3}{7}*m = -1$

$m=\frac{7}{3}$

By the point slope form:

$({y}-{y__1})=m({x}-{x__1})$

Plug in the coordinates of the mid-point:

$({y}-{(-5)})=\frac{7}{3} ({x}-{0})$

Equation: $y=\frac{7}{3}x-5$

6 0

2 years ago

What is the answer of the next equation?3(n-6)=27

pychu [463]

Answer:

n = 15

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 3*(n-6)-(27)=0

Pull out like factors : 3n - 45 = 3 • (n - 15)

Then: 3 • (n - 15) = 0

It's pretty easy from there, good luck!

7 0

4 years ago

I really need help!!!!

Brilliant_brown [7]

Check out the attached image for the answers.

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Statement 2 is blank, but it has the reasoning "Corresponding angles postulate"
Because BD || AE, we know that the corresponding angles are congruent.
One pair of corresponding angles is angle 1 and angle 4. This is because they are on the same side of the transversal AC and they are both above their parallel line counter-part. Similarly, angle 2 and angle 3 are another corresponding pair.
So you'll have "angle1=angle4, angle3=angle2" in the first blank slot

-----------------------

Reason 3 is blank. The statement is that triangle ACE is similar to triangle BCD. The reason why the are similar is the AA (angle angle) similarity postulate. This says that if you know two pairs of angles are congruent, then the triangles are similar. The two pairs of angles were mentioned back on the previous line (line 2)
So you'll put "Angle-Angle Similarity Postulate" in the second blank.

-----------------------

Look at the line just above the last line. Here we have
1 + (BA/CB) = 1 + (DE/CD)
If we subtract 1 from both sides, we end up with,
BA/CB = DE/CD
which is what will go in the last blank space

Side Note: The last statement will always be what you want to prove. So you can just look at the very top of the problem where it says "Prove:" under the "Given" part. Then just copy/paste the statement you want to prove, which in this case is BA/CB = DE/CD