The scale factor of the dilation is 2.
Option D is correct.
Step-by-step explanation:
To find the scale factor of dilation, we find ratio of similar sides.
We are given the point (3,5) is moved to (6,10) under dilation.
Scale Factor = 6/3 = 2
or
Scale Factor = 10/5 = 2
The scale factor of the dilation is 2.
Option D is correct.
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Answer:
6/12
Step-by-step explanation:
This fraction has even numbers (6 is its numerator, and 12 is its denominator)
Answer:
Interest Manny earns after 2 years is $52
Step-by-step explanation:
Amount deposited = $650
Simple annual interest rate = 4%
To find: Interest after 2 years
We know that the formula to calculate the interest amount is
Simple interest (S.I.) = 
where,
P is the initial amount deposited
r is the rate of simple interest in percentage
t is the time in years for which interest is to be calculated
Substituting the known values in the formula, we get
S.I = 
= 52
Hence the interest Manny earns after 2 years is $52
1. m
2. One set of ordered pairs
3. b
To show why this is, I’m going to explain how to write the equation for a linear function with two random sets of ordered pairs - (1,0) and (5, 8).
First, find the slope. The formula for slope is m = (y2 - y1)/(x2-x1) where m is the slope and (x1, y1) and (x2, y2) are two sets of points.
This is why #1 is m. M is the letter used when finding slope.
To find m, I plug in the two sets of ordered pairs.
m = (8-0)/(5-1)
m = 8/4
m = 2
An equation for a line (linear function) is written in something called slope-intercept form. It looks like y = mx + b. m is the slope and b is the y-intercept (number y equals when x = 0). If m = 3 and b = 1, the equation would be y = 3x + 1.
Here, you have just solved for m and know it equals 2. Plug that value in for m.
y = 2x + b
To solve for b, plug one ordered pair in for x and y. I will use (1,0)
0 = 2(1) + b
0 = 2 + b
-2 = b
Now that you know b = -2, plug that in for b.
y = 2x - 2. Now you have the equation fo the line.