Answer: The scale factor is 1.3 .
Step-by-step explanation:
Given: The first hexagon is dilated to form the second hexagon.
The side length of first hexagon=5 units.
The side-length of second hexagon= 6.25 units
When a shape having measure x is dilated by using a scalar factor of k, then the side measure (y) of the image is given by:-

Substitute, y=6.5 and x=5 to find the value of k we get

Hence, the scale factor is 1.3
Answer:
a = - 
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (105, 27 ) , thus
y = a(x - 105)² + 27
To find a substitute (109, 14 ) into the equation
14 = a(109 - 105)² + 27 ( subtract 27 from both sides )
- 13 = 16a ( divide both sides by 16 )
a = - 
Answer:
6 + (-15)
Step-by-step explanation:
6 - 15 would also be written as 6 + (-15). If you distribute the '+' into the '-15', you would get the negative 15.
1 * -15 = -15
So, 6 + (-15) would be the equivalent addition expression.
Hope this helps.
Answer:
24 in^2
Step-by-step explanation:
(1/2)bh
(1/2)(6)(8)
24