Answer and Step-by-step explanation:
(a) Given that x and y is even, we want to prove that xy is also even.
For x and y to be even, x and y have to be a multiple of 2. Let x = 2k and y = 2p where k and p are real numbers. xy = 2k x 2p = 4kp = 2(2kp). The product is a multiple of 2, this means the number is also even. Hence xy is even when x and y are even.
(b) in reality, if an odd number multiplies and odd number, the result is also an odd number. Therefore, the question is wrong. I assume they wanted to ask for the proof that the product is also odd. If that's the case, then this is the proof:
Given that x and y are odd, we want to prove that xy is odd. For x and y to be odd, they have to be multiples of 2 with 1 added to it. Therefore, suppose x = 2k + 1 and y = 2p + 1 then xy = (2k + 1)(2p + 1) = 4kp + 2k + 2p + 1 = 2(kp + k + p) + 1. Let kp + k + p = q, then we have 2q + 1 which is also odd.
(c) Given that x is odd we want to prove that 3x is also odd. Firstly, we've proven above that xy is odd if x and y are odd. 3 is an odd number and we are told that x is odd. Therefore it follows from the second proof that 3x is also odd.
Answer:
Its D thats the answer
Step-by-step explanation:
The answer to this is
x= 18, -2
<h3>Supplementary Angles:</h3>
Angles which adds up to 180°.
<h3>Given:</h3>
A = 2x + 8
B = 2x + 8
<h3>To Find:</h3>
The measurement of B.
<h3>Solution:</h3>
A + B = 180°
or, 2x + 8 + 2x + 8 = 180°
or, 4x + 16 = 180°
or, 4x = 180 - 16 = 164°
or, x = 164/4 = 41°
<h2>Answer:</h2>
B = 2x + 8 = 2(41) + 8 = 82 + 8 = 90°
<u>B</u><u> </u><u>=</u><u> </u><u>9</u><u>0</u><u>°</u>
Answer:
Step-by-step explanation:
(10 - 8)/(-21 + 9)= 12/-12= -1
y - 8 = -1(x + 9)
y - 8 = -x - 9
y = -x - 1
