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jek_recluse [69]
3 years ago
14

Solve the system of equations algebraically. Show all of your steps

Mathematics
1 answer:
Katyanochek1 [597]3 years ago
4 0
I am going to explain this using the substitution method, considering it appears to be the best in this situation.

We know (from the bottom equation) that y can equal 3x+20. Using this knowledge, we substitute the y in the top equation for 3x+20. Now, we have an equation that looks like this:

3x+20=x^2+2x

Now we need to move x to one side and then do some radicals (square roots).
Subtract the 2x on the right (since it is smaller, negatives = NONONO), which will give you

x+20=x^2

Now, we take the square root of both sides to get

rad(x+20)=x

Now we have to simplify. 20 doesn't have a square root, but 4 goes into 20, and 4 has a square root of 2. This now becomes

2rad(x+5)

This doesn't simplify any further... we have a problem... no way to isolate x as far as my knowledge goes... Sorry, can't help you any further than that, but another person or your teacher might be able to. R.I.P...
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Given:x+2y=-6 solve for x what is fhe coefficient of y?​
alexandr402 [8]

Answer:

The coefficient of y is -2

Step-by-step explanation:

x + 2y=-6      

   - 2y   -2y      Subtract 3y from both sides

x = -2y - 6         This equation is solved for x

The coefficient of y is -2

5 0
3 years ago
11. What's the approximate area of a segment of a circle with a height 6 m and the length of the chord is 20 m? round to the nea
JulijaS [17]

Answer:

85.4

Step-by-step explanation:

first you have to find the radius before you find the area. so given the height, the radius is 11.3 meters. then, you need to find the area behind the arc, which is 85.4 meters/

7 0
3 years ago
Sams high school played 44 soccer games this year he attended 18 games how many ga
storchak [24]

Answer:

assuming that the question says "how many games did he not attend" it would be 26

5 0
3 years ago
If the equation of the line y = 2x - 6 is changed to y = -2x - 6, how is the graph changed?
-Dominant- [34]

Answer:

from sloping up to sloping down ⇒ answer D

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

* Now lets solve the problem

∵ The equation of the line is y = 2x - 6

∵ The equation is changed to y = -2x - 6

- If the both signs of x and the number are changed means the

 equation is multiplied by -1

∴ The line is reflected across the x-axis

- If the sign of x only is changed

∴ The line is reflected across the y-axis

- From the equation 2x changed to -2x, but -6 not changed

∴ The sign of x only changed

∴ The line is reflected across the y-axis

* The graph is reflected across the y-axis

∴ from sloping up to sloping down

4 0
3 years ago
Read 2 more answers
The polygons are similar. Find the missing side length. NO LINKS!!!!​
timurjin [86]

Answer:

CD = 27

Step-by-step explanation:

Given the triangles are similar then the ratios of corresponding sided are equal, that is

\frac{CD}{KD} = \frac{CB}{KL} , substitute values

\frac{CD}{9} = \frac{30}{10} = 3 ( multiply both sides by 9 )

CD = 27

7 0
3 years ago
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