Answer: Proportional is two varying quantities are said to be in a relation of proportionality, if they are multiplicatively connected to a constant, that is, when either their ratio or their product yields a constant. The value of this constant is called the coefficient of proportionality or proportionality constant.
Answer:
distance is 14.04
Step-by-step explanation:
the distance between 2 points is the Hypotenuse of the right angled triangle of the x and y coordinate differences.
we use Pythagoras
c² = a² + b²
c = the Hypotenuse (the side of the triangle opposite to the 90 degree angle).
the x difference
-8 - 6 = -14
the y difference
-2 - -1 = -1
c² = -14² + -1² = 196 + 1 = 197
c = sqrt(197) = 14.04
Factor the following:
5 x^2 + 20 x + 15
Factor 5 out of 5 x^2 + 20 x + 15:
5 (x^2 + 4 x + 3)
The factors of 3 that sum to 4 are 3 and 1. So, x^2 + 4 x + 3 = (x + 3) (x + 1):
Answer: 5 (x + 3) (x + 1)
Answer:
70 and 90 beats per minute
Answer: 8
Step-by-step explanation
Write as a decimal
7 11/18 is equal to 7.6111
Round the decimal to the nearest whole number:
If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.
If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.
Since 6 is in the tenths place we round up. 7 11/18 can be written as 8 (as whole number)
