Answer:
Slope: undefined
Equation: x=-3
Step-by-step explanation:
To find the line that passes through the points, you first want to find the slope. The formula for slope is 
. Once we have the slope, we can use any given point to plug in to find the y-intercept.
We can see that the slope is undefined. If we look at the point, we notice that they both have the same x-coordinate. This let's us know that the equation is x=-3.
Answer:
212 more student voted musical than drama .
Step-by-step explanation:
As given
In choosing this year 327 voted musical and 115 voted drama.
More students voted musical than drama = Total students voted for musical - Students voted for drama .
Putting values in the above
More students voted musical than drama = 327- 115
= 212
Therefore 212 more student voted musical than drama .
Answer:
d. 6
Step-by-step explanation:
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.
