Answer:
The value of y that satisfies the system of equations is 20
Step-by-step explanation:
we have
we know that
The solution of the system of equations is the intersection point both graphs
using a graphing tool
the intersection point is (-3,20)
see the attached figure
therefore
The value of y that satisfies the system of equations is 20
Answer:
1) The slope of the function 
is 
and the slope of the function 
is 
.
2) The negative slope of the function shows that it is the line is increasing and the slope of the function shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function .
Step-by-step explanation:
For this exercise you need to know that the slope of any horizontal line is zero (
)
The slope of a line can be found with the following formula:
You can observe in the graph of the function given in the exercise, that this is an horizontal line. Then, you can conclude that its slope is:
The steps to find the slope of the function shown in the table attached, are the following:
- Choose two points, from the table:
and 
- You can say that:
- Substitute values into the formula :
- Finally, evaluating, you get:
Therefore:
1) The slope of the function is and the slope of the function is .
2) The negative slope of the function shows that it is the line is increasing and the slope of the function shows that the line will always have the same y-coordinate.
3) The slope of the function is is greater than the slope of the function .
24cm
26cm
5cm
4cm
25cm
28cm
24*5*25=125*24=3000
26*4*28= 2918
the oat cereal has a greater volume than the rice cereal
Answer:
The length of GH is half the length of KL.
Full question...
To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.
So once again the answer is the second one: The length of GH is half the length of KL.
Answer:
V = (1/3)πr²h
Step-by-step explanation:
The volume of a cone is 1/3 the volume of a cylinder with the same radius and height.
Cylinder Volume = πr²h
Cone Volume = (1/3)πr²h
where r is the radius (of the base), and h is the height perpendicular to the circular base.
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<em>Comment on area and volume in general</em>
You will note the presence of the factor πr² in these formulas. This is the area of the circular base of the object. That is, the volume is the product of the area of the base and the height. In general terms, ...
V = Bh . . . . . for an object with congruent parallel "bases"
V = (1/3)Bh . . . . . for a pointed object with base area B.
This is the case for any cylinder or prism, even if the parallel bases are not aligned with each other. (That is, it works for oblique prisms, too.)
Note that the cone, a pointed version of a cylinder, has 1/3 the volume. This is true also of any pointed objects in which the horizontal dimensions are proportional to the vertical dimensions*. (That is, this formula (1/3Bh), works for any right- or oblique pyramid-like object.)
__
* in this discussion, we have assumed the base is in a horizontal plane, and the height is measured vertically from that plane. Of course, any orientation is possible.
