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3 years ago

What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

Mathematics

1 answer:

UkoKoshka [18]3 years ago

8 0

Y = kx ⇒ k = y/x = 2/(-3) = -2/3

Answer: k = -2/3

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Start with x2 + 4x = 12 and complete the square, what is the equivalent equation? A) (x + 2)2 = 16 B) (x + 2)2 = 14 C) (x + 4)2

alexira [117]

Answer: The answer is A

Step-by-step explanation: Add the coefficient of x to the both sides.

X²+4x=12

X²+4x+4=12+4

X²+4x+4=16

X²+2x+2x+4=16

X(x+2)+2(x+2)=16

(X+2)(x+2)=16

(X+2)²=16

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4 years ago

Correct answer gets brainliest.

wolverine [178]

The answer is C based on SAS

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3 years ago

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Simplify 6m2n3 – 3m3n2 + 8m2n3 + 12m3n2

NISA [10]

Hello! Hope I can assist you.

Let us simplify some terms first!

$6m\cdot \:2n\cdot \:3 \ \textgreater \ 36mn$
$3m\cdot \:3n\cdot \:2 \ \textgreater \ 2\cdot \:3^2mn$
$8m\cdot \:2n\cdot \:3 \ \textgreater \ 48mn$
$12m\cdot \:3n\cdot \:2 \ \textgreater \ 72mn$

$36mn-2\cdot \:3^2mn+48mn+72mn$

From here, group like terms
$36mn-2\cdot \:3^2mn+48mn+72mn$

$\mathrm{Add\:similar\:elements:}\:36mn+48mn+72mn=156mn$
$156mn-2\cdot \:3^2mn$

$2\cdot \:3^2mn \ \textgreater \ 2\cdot \:9mn \ \textgreater \ 18mn$

$156mn-18mn$

$\mathrm{Add\:similar\:elements:}\:156mn-18mn=138mn$

Hope this helps!

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3 years ago

Write an equation of the line in slope-intercept form (2,1) and (0,-3)

Snowcat [4.5K]

Answer:

y = 2x - 3

Step-by-step explanation:

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3 years ago

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A spa owner gives a survey to all of her customers asking them to rate the quality of the service they received. She then keeps

JulsSmile [24]

I think you forgot to give the options along with the question. I am answering the question based on my research and knowledge. "Some customers who rate their service as high quality return for additional services" is the conclusion that can be drawn from this study. I hope that the answer has actually come to your desired help.

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3 years ago

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