<h3>
Answer: 1/2 (choice C)</h3>
Explanation:
The gradient is the same as the slope
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (6-1)/(6 - (-4))
m = (6-1)/(6+4)
m = 5/10
m = 1/2
In decimal form, this becomes 0.5
A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.
A positive slope goes uphill as we move to the right (due to the positive rise value).
Answer:
808.5 cubic meters
Step-by-step explanation:
Because this is a triangular prism, the base is the triangular shaped ends. To find the volume of this figure, you need to find the area of the triangular base, and then multiply be the length of the prism. You know that the two legs of the triangle (not the hypotenuse) have lengths of 14 and 10.5 meters. Using the formula for the area of a triangle, or . Multiplying this by 11, or the length of the prism, you get 808.5 as the final volume. Hope this helps!
Answer: Reflection about x-axis
Step-by-step explanation:
Given
Initially, vertices are
After reflection they become
It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.
For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).
So, here reflection is being done about the x-axis.
The required expression is :
hence, correct choice is D