Answer:
about 21.3
Step-by-step explanation:
I found the hypotenuse value by doing the Pythagorean theorem.
a^2+b^2=c^2.
"a" and "b" are the values of the legs, and "c" is the value of the hypotenuse. So, "a" is 14 and "b" is 16.
14^2+16^2=c^2
196+256=452.
Now, I found the square root of 452. The square root of 452 is 21.26029163. This value rounded to the nearest tenth is 21.3.
In conclusion, the length of the hypotenuse rounded to the nearest tenth is 21.3 inches.
Given the expression:
-x^2+18x-99
to solve by completing squares we proceed as follows:
-x^2+18x-99=0
this can be written as:
-x^2+18x=99
x^2-18x=-99.......i
but
c=(-b/2)²
Hence:
c=(-(-18)/2)²=81
adding 81 in both sides of i we get:
x^2-18x+81=-99+81
factorizing the quadratic we obtain:
(x-9)(x-9)=-18
thus
(x-9)²+18=0
the above takes the vertex form of :
y=(x-k)²+h
where (k,x) is the vertex:
the vertex of our expression is:
(9,18)
hence the maximum point is at (9,18)
NOTE: The vertex gives the maximum point because, from the expression we see that the coefficient of the term that has the highest degree is a negative, and since our polynomial is a quadratic expression then our graph will face down, and this will make the vertex the maximum point.
Answer:
hmmmm.... sorry but i really dont know this yet
Step-by-step explanation:
Answer:
26.307 miles per gallon
Step-by-step explanation:
Divide the miles traveled by the number of gallons used.
In this case, divide 342 by 13 to get the answer of 26.307 miles per gallon.
