Answer:
2
Step-by-step explanation:
Factors for 14: 1, 2, 7, and 14. Factors for 16: 1, 2, 4, 8, and 16.
The greatest common factor being 2, as they both have it.
Answer:
Step-by-step explanation:
Answer:
37% of the backyard will not be covered by the water from the sprinkler.
Step-by-step explanation:
The sprinkler is at the centre (0,0). It squirts in a circular motion. The other end of the radius is at (12,16).
First we will calculate the radius of the circle.
Area of the circle = πr^2
= 3.1416*(20)^2
= 3.1416*400
= 1256.64
Area of yard = 40 ft * 50 ft
= 2000
Percent covered by the water = 100*(area of circle/area of yard)
= 100*(1256.64/2000)
= 100*(0.628)
= 62.8%
= 63%
Area not covered by the water = 100 - 63
= 37%
Answer:
From x = -2 to x = 0, the average rate of change for both functions is negative
&
The quadratic function, y = x2, has an x-intercept at the origin
Step-by-step explanation:
Answer:
Step-by-step explanation:
When learning about commutative and associative properties, we learn that ...
a + b = b + a . . . . . addition is commutative
ab = ba . . . . . . . . . multiplication is commutative
But we also know that ...
a - b ≠ b - a . . . . . . subtraction is not commutative
a/b ≠ b/a . . . . . . . . division is not commutative
__
We also learn that ...
a + (b+c) = (a+b) +c . . . . addition is associative
a(bc) = (ab)c . . . . . multiplication is associative
And of course, ...
a - (b -c) ≠ (a -b) -c . . . . subtraction is not associative
a/(b/c) ≠ (a/b)/c . . . . . . . division is not associative
_____
However, you can use associative and commutative properties in problems involving subtraction and division if you write the expression properly:
a - (b - c) = a +(-(b -c)) = a +((-b) +c) = (a +(-b)) +c . . . . keeping the sign with the value makes it an addition problem, so the associative property can apply
(a/b)/c = (a(1/b))(1/c) = a(1/b·1/c) = writing the division as multiplication by a reciprocal makes it so the associative property can apply
