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2 years ago

Solve xy − 2 = k for x.

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

6 0

Isolate x
So xy - 2 = k
Then
xy = k + 2

x = (k+2)/y

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The formula for the area of a parallelogram is A = bh, where b is the base and h is the height. A parallelogram that is not draw

Bezzdna [24]

Answer:

Option 2) 2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

We know the Parallelogram Area is given by

$A=bh$ Eqn. (1)

where

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$h$ : is the height

We are also given that the base is

$b=2x^2+2x-6$

and the height is

$h=x-4$

So we can plug these two expressions in Eqn. (1), simplify and find our Area equation as follow:

$A=(2x^2+2x-6)(x-4)\\\\A=(2x^2)(x)+(2x)(x)-(6)(x)+(2x^2)(-4)+(2x)(-4)-(6)(-4)\\\\A=2x^3+2x^2-6x-8x^2-8x+24\\\\A=2x^3+2x^2-8x^2-6x-8x+24\\\\A=2x^3-6x^2-14x+24$

Which matches Option 2. from the available ones.

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3 years ago

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AfilCa [17]

Answer:

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Step-by-step explanation:

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3 years ago

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in 1950, the population of a city was about 800,000 people. over the next 50 years , the population increased to 1.3 million. fi

nordsb [41]

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3 years ago

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3 years ago

For the given quadratic equation convert into vertex form, find the vertex and find the value for x=6 Y=-2x^2+2x+2

Serga [27]

Answer:

Part 1) The vertex is the point (0.50,2.50)

part 2) $y=-58$

Step-by-step explanation:

we have

$y=-2x^{2} +2x+2$

Part 1) Convert into vertex form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$y-2=-2x^{2} +2x$

Factor the leading coefficient

$y-2=-2(x^{2} -x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$y-2-0.50=-2(x^{2} -x+0.25)$

$y-2.50=-2(x^{2} -x+0.25)$

$y-2.50=-2(x-0.50)^{2}$

$y=-2(x-0.50)^{2}+2.50$ -----> equation in vertex form

The vertex is the point (0.50,2.50)

Part 2) Find the value of y for x=6

substitute the value of x in the equation

$y=-2(6)^{2} +2(6)+2$

$y=-72 +12+2$

$y=-58$

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3 years ago