Answer:

Step-by-step explanation:
From the table given in the question,
x y Difference Ratio
1 12 - -
2 36 36-12 = 24 
3 108 108-36 = 72 
4 324 324-108 = 216 
5 972 972-324 = 648 
There is a common ratio of 3 in each successive term.
Therefore, data given in the table will represent an exponential function.

For a point 

------(1)
For another point of the table
,

--------(2)
Equation (2) divided by equation (1)


From equation (1),


Therefore, exponential function will be,

Answer:
See example below.
Step-by-step explanation:
The image of a triangle will be 5/6 the size. It will be slightly smaller than the original. For example, if the side measurement of the triangle on one side is 12 then the image of the triangle after a dilation will be 12*5/6 = 60/6 = 10.
The new side length is 10 slightly smaller than 12.
Answer:
<em><u>2</u></em><em><u>1</u></em><em><u>y</u></em><em><u>d</u></em><em><u>^</u></em><em><u>2</u></em>
Step-by-step explanation:
join the centre to all the vertex,
since this figure is of regular pentagon, it's will form 5 equal triangle of equal area!
now area of one such triangle is
1/2 ×base ×height
=1/2 ×3.5x2.4 (yd^2)
=4.2 yd^2
now the pentagon is sum of 5 such equal triangle,so it's are will be
5×4.2 (yd^2)
=21 yd^2
✌️:)
Answer:
10 feet
Step-by-step explanation:
Use the volume formula, V = lwh, to solve for w
Plug in the values we know:
V = lwh
250 = (5)(w)(5)
250 = 25w
10 = w
So, the width is 10 feet
Answer:
no 2. cube a' will be smaller because it was multiplied by a fraction
no 3. c