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shutvik [7]
3 years ago
9

Using the Addition Method, solve for y in the following system of linear equations: 4x – 2y = 6 2x + y = 7

Mathematics
1 answer:
Lady_Fox [76]3 years ago
4 0

Answer:

y = 2

Step-by-step explanation:

Addition Method:

4x - 2y = 6

2x + y = 7

-2(2x + y) = -2(7)

4x - 2y = 6

-4x - 2y = -14

-4y = -8

y = 2

Substitution Method:

4x - 2y = 6

2x + y = 7

-2y = 6 - 4x

2y = 4x - 6

y = 2x - 3

2x + (2x - 3) = 7

4x - 3 = 7

4x = 10

x = 2.5

2(2.5) + y = 7

5 + y = 7

y = 2

Brainliest, please :)

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suter [353]
 <span>I am assuming that this is a parametric curve. 

We see that the curve intersects the x-axis when: 
t - t^2 = 0 ==> t = 0 and t = 1. 

Then, since x = 1 + e^t is an increasing function, the curve is being traced exactly once on the interval (0, 1). 

Using the fact that the area under the curve given by the parametric equations x = f(t) and y = g(t) on (a, b) is: 
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and that f(t) = 1 + e^t ==> f'(t) = e^t, the area under the curve is: 
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5 0
4 years ago
You placed each of these cards in a brown paper bag and randomly select one and then record your results. After each selection,
otez555 [7]

Answer:

The experimenta probability of picking a 4 is \frac{4}{50}

Step-by-step explanation:

To determine the experimental probability, we just need to divide the number of observations of the specific event by the total number of trials. In this case, we are interested in the event "picking a 4 card". This event happened 4 times. We have a total number of trials of 50. So , the experimental probability is

\frac{4}{50}

5 0
3 years ago
2. The side of a square exceeds the side of
Anastaziya [24]

Answer:

x=30cm

y=30+5=>35cm

Step-by-step explanation:

From the question we are told that

Sides difference \triangle x= 5cm

Area difference  \triangle a=326sq.cm

Let first square be A

Let second square be B

Generally the area of a square is mathematically given by

Area of a squareA=x*x=x^2

Area of a squareB=(x+5)^2=x^2+25+10x

Area \A - Area\ B =325

Therefore from the equations above

x^2+25x+10-x^2=325

10x=325-25

x=300/10

x=30cm

Therefore

Side of the first square

x=30cm

Side of the second square.

y=>30+5=35cm

Check answer

35^2-30^2=325

4 0
3 years ago
Along with the flowers, Maggie bought 4 packages of balloons and 2 packages of plant food. The packages of balloons cost $3.59 e
Dmitrij [34]

Answer:


Step-by-step explanation:

4 packs of balloons, 2 packages of plant food, flowers cost, sales tax equal to Total Amount Paid.

Now to find the cost of  2 packs of plant food,

Total Amount Paid-sales tax-4 packs of balloons-flowers cost=2 packs of plant food

Now,

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5 0
3 years ago
Determine if line AB is tangent to the circle. If so, then explain why.
zheka24 [161]

Answer:

Option A.

Step-by-step explanation:

we know that

If AB is tangent to the circle

then

The triangle show in the figure must be a right triangle

Remember that

If a triangle is a right triangle, then the triangle must satisfy the Pythagorean Theorem

<u><em>Verify</em></u>

Applying the Pythagorean Theorem

17^2=10.2^2+6.8^2

289=104.04+46.24

289=150.28 -----> is not true

so

Is not a right triangle

therefore

line AB is not tangent to the circle

3 0
3 years ago
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