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IgorLugansk [536]
4 years ago
10

Solve this system of linear equation. Supérate the x- and y-values with a comma. 2x+4y=-48 4x-9y=57

Mathematics
1 answer:
SpyIntel [72]4 years ago
4 0

Answer:

(x,y) = (-6.12,-11.76)

Step-by-step explanation:

2x+4y=-48 => eq(i)

4x-9y=57  => eq(ii)

We need to solve these equations simultaneously to find the values of x and y.

Multiplying eq(i) with 2 and subtracting both equations

4x + 16y = -96

4x - 9y  = 57

-    +         -

__________

25 y = -153

y = -153/25

y = -6.12

Putting value of y in eq(i)

2x + 4(-6.12) = - 48

2x - 24.48 = -48

2x = -48 + 24.48

2x = -23.52

x= -23.52/2

x= -11.76

So, values of x and y are -6.12 and -11.76

(x,y) = (-6.12,-11.76)

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Determine the slope of each line, if any. Identify which of the lines is vertical or horizontal.
lys-0071 [83]

Answers:

  1. slope = 2
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  3. slope = 1
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None of the five lines are horizontal or vertical

===============================================

Explanation:

Something like f(x) = 2x-5 is the same as y = 2x-5. This is because y = f(x).

Compare y = 2x-5 with y = mx+b. We see that m = 2 is the slope in this case.

The other four questions are handled the same way.

A horizontal line occurs when the slope is 0. Since none of the slopes are zero, none of the lines are horizontal.

A vertical line equation is of the form x = k, where k is any real number. The y variable is not involved. It is not possible to write a vertical line equation in the form y = mx+b because the slope m is undefined. So none of the given five equations are vertical lines.

Side note: something like y = x+6 is the same as y = 1x+6

4 0
3 years ago
Find the cube roots of 125(cos 288° + i sin 288°)
kow [346]
Let r(cos O + i sin O)  be a cube root of 125(cos 288 + i sin 288)
then
r^3(cos O + i sin O)^3  =  125(cos 288 + i sin 28)

so r^3 = 125  and  cos 3O + i sin 3O  =  cos 288 + i sin 288

so r  = 5  and 3O = 288 + 360p and O = 96 +  120p

so one cube root is   5 (cos 96 + i sin 96)

Im a little rusty at this stuff Its been a long time.

Im not sure of the other 2 roots

sorry cant help you any more


3 0
3 years ago
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Answer:

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