B) {x|x ∈ U and 2x is prime}
x is greater than 1.
the only even prime number is 2
2 times anything is even.
the minimum x value is 2. 2x is 4, therefore higher than the only even number
every value 2x will have a multiple of 2 so it will not be prime.
That’s really nice man. I’m sure she’ll love it
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
Answer:
Therefore, on the graph;
The height = 7.5 units
And base = 5.0 units
Attached is an image for further information;
Step-by-step explanation:
Given that;
1 unit on the grid represent 2m of the garden;
Ratio = 1/2 unit/m
For the height;
height h = 15m
On the graph;
h = 15m × 1/2 unit/m
h = 7.5 units
For the base;
Base b = 10m
On the graph;
b = 10m × 1/2 unit/m
b = 5 units
Therefore, on the graph;
The height = 7.5 units
And base = 5.0 units
This is very sloppy but u hope it helps
