Dont see any answer choices... but Volume= L*W*H
A cube, the sides are equal. So 13^3 or 13*13*13 = the volume of the cube. Then work your way to the rectangular prism.
Answer:
1. 2,3; -2, 3
2. Both points share common values, but their absolute values for the x-value vary.
3. 2,3; 2, -3
4. Both points share common values, but their absolute values for the y-value vary.
Step-by-step explanation:
For 1, the answer is thus:
-On the graph, the original point is 2, 3.
-A reflection over the y-axis changes the x-value, so it would be -2,3.
Similar for the next chart:
-The initial point is 2,3.
-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.
The explanation is:
Both points have similar values except with differences in the absolute value.
Hope this helps you.
Answer:
<h3>
Length = 12 ft</h3>
Width = 
Step-by-step explanation:
Given,
Area of rectangle = 
Width = X
Length = 2x + 5
Now,






Either




Or,



Negative value can't be taken.
So, width = 
Again,
Finding the value of length,
Length = 



Length = 12 ft
Answer:
So to maximize profit 24 downhill and 20 cross country shouldbe produced
Step-by-step explanation:
Let X be the number of downhill skis and Y the number of cross country skis.
Time required for manufacturing and finishing each ski are: manufacturing time per ski, downhill 2.5 hours, cross country 1.5 hours
Finishing time per ski: downhill 0.5 hours, cross country 1.5 hours.
Total manufacturing time taken = (2.5) x+ (1.5+) y = 2.5x+1.5y≤90
total finishing time taken = 0.5x+1.5 y≤42
Profit function
Z = 50x+50y
Objective is to maximize Z
Solving the two equations we get intersecting point is
(x,y) = (24,20)
In the feasible region corner points are (0.28) (36,0)
Profit for these points are
i) 2200 for (24,20)
ii) 1400 for (0,28)
iii) 1800 for (36,0)
So to maximize profit 24 downhill and 20 cross country shouldbe produced.
Answer:
The third option: "A coordinate plane with a line passing through (0, negative 4) and (2, 0)."
Step-by-step explanation:
Use the equation defined by the function: y = 2x - 4 to check the (x, y) values they give you. If they both render true mathematical statements, those are indeed points on the plane that belong to the given line.
For the third case; the pairs (0,-4) and (2,0), both satisfy the equation of the line that is given.
For (0,-4): y = 2x - 4 becomes:
which is a TRUE statement
For (2,0): y = 2x - 4 becomes:
which is also a TRUE statement.
This option is the only one that verifies both given points as truly being part of the given line.