First, it is important to understand that any equation that is x=some number is just a vertical line that hits the x-axis at the given number. For example, x=-2 would be a vertical line hitting the x-axis at -2. Therefore, the line we are trying to identify would also be vertical (and have the form x=some number) because we know the lines are parallel. Then, since we're given the point (-5,4), we know the line needs to hit the x-axis at -5, therefore the equation would be x=-5.
I hope this helps.
Answer:
proof below
Step-by-step explanation:
Remember that a number is even if it is expressed so n = 2k. It is odd if it is in the form 2k + 1 (k is just an integer)
Let's say we have to odd numbers, 2a + 1, and 2b + 1. We are after the sum of their squares, so we have (2a + 1)^2 + (2b + 1)^2. Now let's expand this;
(2a + 1)^2 + (2b + 1)^2 = 4a^2 + 4a + 4b + 4b^2 + 4b + 2
= 2(2a^2 + 2a + 2b^2 + 2b + 1)
Now the sum in the parenthesis, 2a^2 + 2a + 2b^2 + 2b + 1, is just another integer, which we can pose as k. Remember that 2 times any random integer, either odd or even, is always even. Therefore the sum of the squares of any two odd numbers is always even.
Given:
The graph.
To find:
The domain and range of the graph.
Solution:
The three points on the graph are (-3,3), (0,0) and (3,3).
We know that, domain is the set of input values or x-values. So,
Domain = {-3,0,3}
We know that, Range is the set of output values or y-values. So, elements for range are 3,0,3. But a set contains only distinct elements. So, consider 3 once in range.
Range = {0,3}
Therefore, the correct option is b.
is median a. 40 )(is min b. 34 )(c. 49 or 48 q3
Answer:
B. There is a slightly more even distribution in the numbers in Joan's Group than in Todd's Group. C. Only one number, 28, is the same between the two samples.
Step-by-step explanation:Your welcome loves :)
