To determine the ratio, we need to know the formula of the area of an hexagon in terms of the length of its sides. We cannot directly conclude that the ratio would be 3, the same as that of the ratio of the lengths of the side, since it may be that the relationship of the area and length is not equal. The area of a hexagon is calculated by the expression:
A = (3√3/2) a^2
So, we let a1 be the length of the original hexagon and a2 be the length of the new hexagon.
A2/A1 = (3√3/2) a2^2 / (3√3/2) a1^2
A2/A1 = (a2 / a1)^2 = 3^2 = 9
Therefore, the ratio of the areas of the new and old hexagon would be 9.
Answer:
area of triangle = 135 mm²
Step-by-step explanation:
Area of a triangle = 1/2 × b × h
Area of a triangle = 1/2 × 27 × 10
Area of a triangle = 135 mm²
Answer:
The answer is: f(x) = -2x^2 - 4x + 30
Step-by-step explanation:
Given:
f(x)=-2(x-3)(x+5)
Solve (x-3)(x+5) first, then multiply by -2:
f(x) = -2[(x - 3)(x + 5)]
f(x) = -2[x^2 -3x + 5x - 15]
f(x) = -2[x^2 + 2x - 15]
f(x) = -2x^2 - 4x + 30
Hope this Helps!! Have an Awesome Day!! (-:
Answer:
4. Yes 5.No 6. No
Step-by-step explanation:
To be short,a linear equation has a coefficient of only 1 degree.
If the degree is over 1 it isn't a linear equation.
4 is the linear equation since it x value 7x has a degree of 1.
5 isn't becuase it's x value has a degree of 5
6 isn't becuase it degree is 4.
Answer:
Absolute value means how far are you from zero on the number line.
absolute value of | -18| for example is 18
this means that you are at -18 on the number line that is 18 points away from zero.
and absolute value of |18 | is 18
this means that you are at point 18 on the positive direction on the number line. That is 18 points away from zero.
Step-by-step explanation: