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noname [10]
1 year ago
6

What is the solution to the following system of equations?

Mathematics
2 answers:
jeyben [28]1 year ago
7 0

Answer:

x = 6 , y= -2

Step-by-step explanation:

=1 ( 2x + 3y =6)

2( x+y=4)

2x+3y =6 (1)

2x+2y = 8 (2)

by eq 1 and 2 using elimination method

y = -2

putting y in eq 2

2x + 2(-2)=8

2x -4 =8

2x =8+4

2x=12

x= 6

liraira [26]1 year ago
6 0

Answer:

x = 6 ,  y = -2

Step-by-step explanation:

2 x + 3 y = 6  (Equation 1)

x + y = 4        (Equation 2)

<u>Solving by substitution</u> :

(Equation 2) ⇒ y = 4 - x

<u>Substitute y by 4 - x in (equation 1)</u> :

2 x + 3 (4 - x) = 6

Then

2 x + 12 - 3x = 6

Then

12 - x = 6

Then

12 - 6 = x

Then

x = 6

<u>We obtain</u> :

y = 4 - x and x = 6

Then

y = 4 - 6

  = -2

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(Refer to the attached image)​
DENIUS [597]
<h3>Answer:  9 meters</h3>

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

Work Shown:

  • side a = 8
  • side b = 5
  • angle C = 88 degrees

Applying the law of cosines

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 8^2 + 5^2 - 2*8*5*cos(88)

c^2 = 64 + 25 - 80*cos(88)

c^2 = 86.2080403

c = sqrt(86.2080403)

c = 9.2848285

c = 9

Technically he needs 10 meters of rope because of the extra 0.28 portion, but I'll stick with 9 meters since your teacher said to round to the nearest whole number.

5 0
1 year ago
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
vichka [17]

Answer:

see below

Step-by-step explanation:

Part A:  (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x =  log72(1)

x = 0

Part A:  (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x =  log70(1)

x = 0

7 0
3 years ago
4(1 + 9x)<br> i need assistance!
natta225 [31]
36x+4 is your answer
5 0
3 years ago
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Margarita [4]
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3 years ago
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OK here's the deal, I need to graph F(x)=x^2 and F(x)=2^x as functions. I've run completely out of options, I've graphed them as
butalik [34]

Answer:

see attached graph

Step-by-step explanation:

You graphs look fine.  The only thing I can think of without seeing the question itself, its that perhaps the teacher wants them on the same graph?

7 0
2 years ago
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