Answer:
From the given figure:
Labelled the triangle as A, B and C.
Coordinates of triangle are:
A(-3, -2) , B(-7, -3) and C(-4, -5)
The rule of dilation with scale factor k = 3 and centered at (-7, -6) is:
or
Now, find the dilated image of the given figure:
You can see the graph of the dilated figure as shown below.
1/4 x 560 = 140
the remaining 560 - 140 = 420
2/3 x 420 = 280
420 - 280 = 140 money left
Answer:The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 12,500 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 12,500
New Number: 1.2500
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 2 5 0 0
Decimal Count: 1 2 3 4
There are 4 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.25 (Please notice any zeroes on the end have been removed)
b = 4
Now the whole thing:
1.25 x 104
Step 4
Check your work:
104 = 10,000 x 1.25 = 12,500
Step-by-step explanation: