We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
Answer:
Quartic
Step-by-step explanation:
Given
Required
Name the polynomial
The question required that the polynomial be named based on its degree.
This implies that, we name the polynomial based on the highest power of x
Highest power of x = 4
When the highest power of x in a polynomial is 4, such polynomial is a quartic polynomial.
Hence, by degree; the polynomial is quartic
First you find the median, the middle term (if there are an even number of terms it is the average of the middle two terms.) Since you have 21 terms, odd, you just use the middle term, in this case 8. The first quartile works the same way, but just on the left half between the start and the median...so the first quartile is 6.
1728 cubic centimeters
12 with the exponent of 3 would basically be 12x12x12 but easier i put 12x12=144x12= which is 1728
cuz if its just 12x12 thats just the area of one side, if its 12x12x12 its the volume of the whole cube/rectangular prism
Answer:
(3, 1)
Step-by-step explanation:
Let the coordinates of B be (x, y)
Since, M is the midpoint of AB.
Therefore, by mid point formula:
