Multiply both sides of the second equation by 4. That will give you -4x in the second equation which when added to 4x of the first equation will eliminate x.
Second equation:
-x + 3y = 6
Multiply the second equation by 4 on both sides:
-4x + 12y = 26
Answer:
Surface area of cone is 
Step-by-step explanation:
Given:
radius of a cone (r) = 8 feet
slant height of cone (l) = 12 feet
We need to find the surface area of cone.
Total surface area of cone = Area of circle
Area of curved surface
Now we know that,
Area of circle = 
Area of curved surface = 
Hence Total surface area of cone = 
Surface area of cone is
.
Answer:
2520
Step-by-step explanation:
18×24=432
432÷2=216
216×35=7560
7560÷3=2520
Answer:B
Rolling an even number is not 100% going to happen but it is not impossible.
Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the
-coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the
-coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve
, which gives
(the 'V' stands for 'or'). We can take the average of the two roots to get the
-coordinate of the minimum point of the graph (which, in this case, is
).
Having the
-coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the
-coordinate of the extremum.