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3 years ago

Do the equations x + y = -2 and 3x + 3y = −6 define the same line? Explain.

Mathematics

1 answer:

tino4ka555 [31]3 years ago

6 0

Answer:

Yes, they do.

Step-by-step explanation:

They both pass through the same points of -2 on the x and y axis.

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N is an integer such that 3n + 4 < 19 and

Alekssandra [29.7K]

Answer:

Step-by-step explanation:

3n+4<19

3n<19-4

3n<15

n<5

$\frac{10n}{n+16 } >1\\either~ both~ the~ denominator ~ and ~ numerator ~are ~positive ~ or ~both ~are ~ negative.\\let~ 10 n>0 \\n+16 >0\\n>-16\\again ~10 n>n+16\\9n>16\\n>\frac{16}{9} ~...(1)\\and ~\\10n$

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(-∞,-16)U(16/9,5)

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3 years ago

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3/5 and4/7 put these over a common denominator

pishuonlain [190]

The common denominater for the question is 35. Multiply 7 x 5 because in this case, they have no number before that which is common.

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4 years ago

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It is important to re-evaluate financial goals periodically. In which of the following situations would it be necessary to chang

S_A_V [24]

I'd say it b or c. your best chance though is c.

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3 years ago

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Midpoint of (-8,-6) and (-4,10)

Natalija [7]

Answer:

(-6, 1.5)

Step-by-step explanation:

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4 years ago

Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and

san4es73 [151]

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = $x$ minutes

Let the time for which Zoe jumps the rope = $y$ minutes

As per question statement:

$x+y=21 ..... (1)$

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in $x$ minutes = 66

Number of times Zoe jumps in $y$ minutes = 56

As per question statement:

$66x+56y=1266 ...... (2)$

Multiplying equation (1) with 66 and subtracting equation (2) from it:

$10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}$

By equation (1):

$x=21-12=\bold{9\ min}$

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

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3 years ago