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Paladinen [302]
2 years ago
14

Solve the following system of equations 3x+4y=16 and -4x-3y = -19

Mathematics
1 answer:
BigorU [14]2 years ago
4 0
3x + 4y = 16
-4x - 3y = -19

4( 3x + 4y = 16)
3( -4x - 3y = -19)
Distribute
12x + 16y = 64
-12x - 9y = -57
Now subtract both equations
7y = 7
/7 on both sides
y = 1

Substitute y = 1 in one of the equations.
3x + 4y = 16
3x + 4(1) = 16
-4 on both sides
3x = 12
/3 on both sides
x = 4

Answer:
x = 4
y = 1
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Step-by-step explanation:

   We must follow the Order of Operations, also known as PEMDAS. See attached. Multiplication comes before subtraction, but Stacy subtracted 2 from 12 when she should have multiplied 2 by 2. This means the answer to your question is;

         Stacy is incorrect because she should multiply 2 and 2 first and then subtract 4 from 12.

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2 years ago
About how many more website hits were there on Saturday than on Friday?
Ainat [17]

Answer:

1,000 hits

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Friday: 1,000 hits

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2 years ago
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Can somebody help me please
AnnyKZ [126]

It's an isosceles triangle so angles A and BCA are congruent.  

Angle BCA is the supplement of BCD, so 180-109 = 71.

Angle A is congruent to that, so A=71 degrees.

Let's see if we can get that in the format they want, kind of as a proof.

1.  ∠BCD=109° Reason: Given

2. AB ≅ BC      Reason: Given

3. ∠BCA = 71°  Reason: Linear pairs are supplementary

4. ΔABC is isosceles.   Reason: Definition of isosceles

5. ∠A ≅ ∠BCA   Reason: Isoceles triangle theorem

6. ∠A = 71°         Reason: Def congruent

Answer: 71 degrees

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2 years ago
B<br> D<br> which angles add up to 180
lions [1.4K]

Answer:

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Step-by-step explanation:

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2 years ago
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MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. \frac{dy}{dx} = 2x\sqrt{1-y^2}

separation of variables

\frac{dy}{\sqrt{1-y^2} } = 2xdx

integration both sides\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx

you should get :

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3 = sin(0+C)

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4 0
3 years ago
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