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3 years ago

Use the graph to find the constant of proportionality (unit rate)

Mathematics

1 answer:

Andre45 [30]3 years ago

6 0

Answer:

9) 10

10) 5

Step-by-step explanation:

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Which expression is equivalent to 15x – 2(3x + 6)? ASAP!!! Thanks!!!

Nikolay [14]

<span>A. 3(3x + 4) should be the correct answer.</span>

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4 years ago

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Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42

Licemer1 [7]

Answer:

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

Step-by-step explanation:

Given

$x^3y^6 + 27z^{42$

Required

Factor

Express both terms as a cube

$x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3$

Let

$a =(xy^2)$

$b = (3z^{14})$

So:

$x^3y^6 + 27z^{42} = a^3 + b^3$

Using sum of cubes:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

So:

$x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)$

Substitute in, values of a and b

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)$

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

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3 years ago

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Kari is flying a kite. She releases 50 feet of string. What is the approximate difference in the height of the kite when the str

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4 years ago

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I NEED HELP, I'VE BEEN STUCK ON THIS...Find the volume of this triangular prism. Enter only the numerical part of your answer in

deff fn [24]

Answer:

[see below]

Step-by-step explanation:

Volume of a triangular prism is: $V=\frac{1}{2}bhl$

We are given the base of 5, the length of 12, and the height of 8. All measurements are in meters.

$V=\frac{1}{2}(5*12*8)\\\\V=\frac{1}{2}(480)\\\\V=240$

The volume of the prism should be 240 square meters.

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3 years ago

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Which statement represents the simplified form of the given equation and correctly describes the solution?

exis [7]

Hence the correct answer is:

D. 6=6; infinite real solutions

Further explanation:

In order to find the simplified form of the equation we have to isolate the variable on one side of the equation.

Given equation is:

$9x+6=3(3x+2)$

Taking 3 common on left hand side

$9x+6=9x+6\\9x-9x+6=6\\6=6$

The equation has infinite real solutions.

Hence the correct answer is:

D. 6=6; infinite real solutions

Keywords: Solution of equation, infinite solutions

Learn more about linear equations at:

#LearnwithBrainly

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3 years ago