Notice that the given info consists of boundary lines for an area in the xy plane. We are interested ONLY in values of x and y that are 0 or greater (positive). Graph 5x + 3y
37 and 3x + 5y less than or equal to 35.
Find the points of intersection of all four straight lines (including the x- and y-axes). There will be 4 such points (incl. the origin).
Next, evaluate the objective function 2x + 14y at each of these 4 points. Which of the four results is the largest? the smallest? Label them as 'maximum' and 'minimum.'
Questions? Just comment on this discussion.
Answer: EB is bisected by DF
A is the midpoint DF
EB is a segment bisector
FA=1/2FC.
Step-by-step explanation:
It's kinda like using variables, but shapes in their place. Let's set the circle to x, the triangle to y, and the square to z. Now the equations say x+(y+z)=13, (y+z)=8, and x+y=7. First thing we can do it plug 8 into the first equation for y+z, getting x+8=13. Subtract 8 to both sides and x (or circle) equals 5. Plug 5 into the last equation, x+y=7 to solve for y, getting 5+y=7. Subtract 5 to both sides and y (or triangle) equals 2. Finally, plug two in for y in y+z=8, getting 2+z=8. Subtract 2 from both sides and z (or square) equals 6. Hope I've explained it clearly!!
Answer:
504 cm squared
Step-by-step explanation:
To find the surface area, find the area of the square base and add it to the area of each triangle face.
Find the area of the base by multiplying base length by base length.
Here the base is 12 x 12 = 144.
Find the area of each triangle face by multiplying 1/2 * b*h.
Here the area is 1/2 * 12 * 15 = 90. Since there are 4 faces, the total area is 4 * 90 = 360.
Together the surface area is 360 + 144 = 504.
Answer:
a line
Step-by-step explanation:
In geometry, we can define a line as a straight one- dimensional figure without thickness but extends infinitely in both directions.
If we are to put it into more understandable words, we can describe a line as the shortest distance between any two points.
A line has a specific definition in geometry. Every other option listed do not have specific definition in geometry.
