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ArbitrLikvidat [17]
3 years ago
11

Prove using the notion of without loss of generality that 5x 5y is an odd integer when x and y are integers of opposite parity.

Mathematics
1 answer:
kap26 [50]3 years ago
6 0
The expression is
5x + 5y
We are to prove that it is an odd integer when x and y are integers of opposite parity
First, we can assume
x = 2a (even)
y = 2b + 1(odd)
subsituting
10(a + b) + 5
5 [(2(a + b) + 1]
The term
2(a + b) + 1 is odd and the result of an odd number multiplied by an odd number is odd
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What is -3x +3y = 15 <br> -2x - 6y = -14<br>​
Katarina [22]

Answer:

Im doing it right now one second

Step-by-step explanation:

6 0
2 years ago
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Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)
Marina86 [1]
<h2>Question :</h2>

<em>Write the equation of a line that is perpendicular to the given line and that passes through the given point. y=2/3x+9 m (–6, 5)</em>

<h2>Answer :</h2>

<em>y = -3/2x - 4 </em>

<h2>Explanation :</h2>

y = mx + c

*m = gradien

•>looking for gradients

y=2/3x+9

m1 = 2/3

m2 = -3/2

•>line equation (-6,5)

y - y1 = m(x - x1)

y - 5 = -3/2(x - (-6))

y - 5 = -3/2(x + 6)

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8 0
3 years ago
Help please!!
bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

<u>Step-by-step explanation:</u>

Percentage:  Like + Don't like = 100%

                     80%  + Don't like = 100%

                  <u>  -80%                    </u>    <u> -80% </u>

                                  Don't like = 20%

People: 20% of Patrons = Don't Like

             0.20  x Patrons = 35

          <u>÷ 0.20                  </u> <u> ÷ 0.20  </u>  

                           Patrons = 175

<u>Now, let's write the equation we used to get that answer</u>:

Let P represent the total number of patrons, then the equation is:

 (100% - 80%)P = 35

= (1.00 - 0.80)P = 35

=       0.20P     = 35

 =             P      = 175

<u>Part B:  </u>

80% of Patrons = Like

0.80  x    175      = Like

         140            = Like


6 0
3 years ago
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4vir4ik [10]
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Step 2: Flip the equation.
Step 3: Subtract 8 from both sides.
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