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sertanlavr [38]
3 years ago
10

Substitution of y= 4x-3 3x-2y=16

Mathematics
2 answers:
bearhunter [10]3 years ago
4 0

Answer:

(-2,-11)

Step-by-step explanation:

3x-2(4x-3)=16

3x-8x+6=16

-5x=10

x=-2

Plug back in

y=4(-2)-3

y=-8-3

y=-11

Andrew [12]3 years ago
3 0

Answer:

(-2,-11)

Step-by-step explanation:

y= 4x-3

3x-2y=16 <— substitute y from above

——————————————————————————-

3x-2y = 16

3x-2(4x-3) = 16

3x-8x+6 = 16

-5x + 6 = 16

-5x ÷ 10

x = -2

——————————————————-

Substitute the x from above to any equation to get the y value

3x-2y=16

3(-2)-2y=16

-6 - 2y = 16

-2y = 22

y = -11

——————————————————-———————

(-2,-11)

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Andreyy89

Answer:

-2x³ - 2y² + z⁴

Step-by-step explanation:

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x³ - 2y² - 3x³ + z⁴

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A car travels at a constant velocity of 84 km/hr. How far would the car travel in 20 minutes?
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2 years ago
Find sin(2x), cos(2x) and tan (2x) from the given information. cot(x)=2/3, x in quadrant I
Usimov [2.4K]

Answer:

1.) 6√13/13

2.) 4√13/13

3.) 3

Step-by-step explanation:

given that cot(x) = 2/3

But cot(x) = 1/tan(x)

Substitutes 1/tan(x) for cot(x)

1/tan(x) = 2/3

Reciprocate both sides

Tan(x) = 3/2 = opposite/adjacent

Use pythagorean theorem to find the hypothenus.

Hypothenus = sqrt ( 3^2 + 2^2 )

Hypothenus = sqrt ( 9 + 4 )

Hypothenus = sqrt (13)

Hypothenus = √13

1.) Sin(x) = opposite/hypothenus = 3/√13

Rationalise

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Sin(2x) = 2 × 3√13/13

Sin(2x) = 6√13/13

2.) Cos( x ) = adjacent/hypothenus

Cos (x) = 2/√13

Rationalise

2/√13 × √13 /√13

2√13/13

Cos(2x) = 2 × 2√13/13

Cos(2x) = 4√13/13

3.) Tan (x) = 3/2

tan (2x) = 2 × 3/2

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4 0
3 years ago
If the lengths of two sides of a right triangle are $5$ and $12$ units, what is the least possible length, in units, of the thir
Goryan [66]

The length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17 according to the properties of a triangle.

According to the given question.

We have a right angled triangle with the two side lengths 5 unit and 12 unit.

From the properties of a triangle we know that " the sum of the length of the two sides of a triangle is greater than the length of the third side". Or " the difference between the two sides of a triangle is less than the length of the third side".

Let the third side of the triangle be x units.

So, by the properties of a triangle we can say that

12 - 5 < x

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And 12 + 5 > x

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Therefore, the length of the third side of the tringle must lie in between 7 and 7 i.e length of the third side will always be greater than 7 and smaller than 17.

Find out more information about properties of a triangle here:

brainly.com/question/27711437

#SPJ4

7 0
1 year ago
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