<span>This time we slice the cube corner first. The sequence begins with a triangle, and as the slice passes three corners of the cube, the triangle becomes cut off. The triangle becomes more cut off and eventually becomes a perfect hexagon. The sequence continues by becoming a triangle again as it passes the next three vertices, then shrinks to a point. This is seen most clearly in the second slicing sequence which shows a symmetric set of slices starting at the back-most vertex. The first set of slices start at one of the side vertices, and in this sequence, the triaganles and hexagons do not seem to be regular due to the fact that they are tilted with respect to our line of sight. These two sequences represent all the possibilities for the orthographic view.
</span><span>Here we slice the cube edge first. Slices are taken in two directions. The first is from the left vertical edge. In the orthographic view, this appears as a line since the slicing plane is parallel to our viewing direction. The second slicing sequence starts at the lower, back, left-hand edge. This one appears as a thin rectangle which thickens, achieving its widest point half-way through, then shrinks back to an edge. Every edge in the orthographic view is symmetric to one of these two edges, so we have seen every important slicing sequence.</span>
Answer: OPTION C.
Step-by-step explanation:
The systems of linear equations can have:
1. <u>No solution:</u> When the lines have the same slope but different y-intercept. This means that the lines are parallel and never intersect, therefore, the system of equations has no solution.
2. <u>One solution</u>: When the lines have different slopes and intersect at one point in the plane. The point of intersection will be the solution of the system
3. I<u>nfinitely many solutions</u>: When the lines have the same slope and the y-intercepts are equal. This means that the equations represents the same line and there are infinite number of solution.
Therefore, based on the explained above, the conclusion is: Systems of equations with different slopes and different y-intercepts <em><u>never</u></em> have more than one solution.
In this case, whenever you see a number directly in front of x, multiplying itself by/with x, it's a coefficient.
That applies to the numbers 7, 9, and 2 if I'm reading this correctly. Hope this helps!
Answer:
(x+2)(x-5)
Step-by-step explanation:
Given the expression X^2−3x−10, we are to factorize it;
On factorizing;
= x² - 5x + 2x - 10
= x(x-5) + 2(x - 5)
= (x+2)(x-5)
Hence the factored form of the expression is (x+2)(x-5)
