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VARVARA [1.3K]
3 years ago
5

50 POINTS + BRAINLIEST

Mathematics
2 answers:
mojhsa [17]3 years ago
8 0

Answer:x + 2y = 6

2y = -x + 6

 y = -1/2 x + 3 so slope = -1/2

parallel lines  has same slope = -1/2

perpendicular lines slope is opposite and reciprocal so slope = 2  

if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2....  parallel

-2x + y = -4

         y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2

2y = -x - 2

 y = -1/2 x - 1 ...m = -1/2 .....parallel

Vedmedyk [2.9K]3 years ago
3 0
X + 2y = 6
2y = -x + 6
  y = -1/2 x + 3 so slope = -1/2

parallel lines  has same slope = -1/2
perpendicular lines slope is opposite and reciprocal so slope = 2  
if slope not equal either -1/2 or 2 then neither.

y = -1/2 x - 5 ....m= - 1/2....  parallel

-2x + y = -4
          y = 2x - 4...m = 2 ....perpendicular

-x + 2y = 2
2y = x + 2
y = 1/2 x + 1 ...m = 1/2 ...neither

x + 2y = -2
2y = -x - 2
 y = -1/2 x - 1 ...m = -1/2 .....parallel

hope it helps
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Determine which ordered pairs are solutions to the equation 3x+7y=21
mafiozo [28]

Answer:

(0,3) and (7,0) are solutions.

Step-by-step explanation:

In a pair of coordinates, they are always listed as (x,y). Since this is the case, you plug in each coordinate to their respective places.

For (0,3)

3(0) + 7(3) = 21

0 + 21 = 21

For (7,0)

3(7) + 7(0) = 21

21 + 0 = 21

To double check that (1,2) isn't a solution:

3(1) + 7(2) = 21

3 + 14 = 21

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This doesn't work.

Marking as Brainliest is much appreciated.

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4 years ago
Prove the divisibility:<br><br>45^45·15^15 by 75^30
garri49 [273]

Answer:

3^{75}.

Step-by-step explanation:

We have been an division problem: \frac{45^{45}*15^{15}}{75^{30}}.

We will simplify our division problem using rules of exponents.

Using product rule of exponents (a*b)^n=a^n*b^n we can write:

45^{45}=(9*5)^{45}=9^{45}*5^{45}

15^{15}=(3*5)^{15}=3^{15}*5^{15}

75^{30}=(15*5)^{30}=15^{30}*5^{30}

Substituting these values in our division problem we will get,

\frac{9^{45}*5^{45}*3^{15}*5^{15}}{15^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{9^{45}*5^{(45+15)}*3^{15}}{15^{30}*5^{30}}

\frac{9^{45}*5^{60}*3^{15}}{15^{30}*5^{30}}

Using product rule of exponents (a*b)^n=a^n*b^n we will get,

\frac{(3*3)^{45}*5^{60}*3^{15}}{(3*5)^{30}*5^{30}}

\frac{3^{45}*3^{45}*5^{60}*3^{15}}{3^{30}*5^{30}*5^{30}}

Using power rule of exponents a^n*a^m=a^{n+m} we will get,

\frac{3^{(45+45+15)}*5^{60}}{3^{30}*5^{(30+30)}}

\frac{3^{105}*5^{60}}{3^{30}*5^{60}}

\frac{3^{105}}{3^{30}}

Using quotient rule of exponent \frac{a^m}{a^n}=a^{m-n} we will get,

\frac{3^{105}}{3^{30}}=3^{105-30}

3^{105-30}=3^{75}

Therefore, our resulting quotient will be 3^{75}.

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3 years ago
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The answer is the third one
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Write 3-5 sentences about the process of the Difference of squares Factoring Method
lisabon 2012 [21]
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OlgaM077 [116]

Answer:

4600

Step-by-step explanation:

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=3000 + 1600

=4600

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3 years ago
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