Answer:
w=2r
r= w/2
r- w/2 = 0
w -2r= 0
Step-by-step explanation:
Let w be the number of weeks and r be the number of recipes learnt . So he will learn 2 recipes each week .Equating gives
w=2r
when w= 1
w= 2(1) = 2
For 1st week 2 recipes are learned
when w= 2
w= 2( 2) = 4
For 2nd week 4 recipes are learned.
or
when r= 2
r= w/2
r =2/2 = 1 one recipe is learned in half of the week
r- w/2 = 0
or
w -2r= 0
Answer:
2
Step-by-step explanation:
Firstly, we will need to calculate the slope of the line formed by joining the coordinates.
The slope of that line would be : m = (y2 - y1)/(x2 - x1)
= (5 - 1)/(4 - 2) = 4/2 = 2
The slope of the line joining the coordinates is 2. Since the other line is parallel to this, it simply means the slope of the second line is 2. This is because of two lines are parallel, they will have the same slope.
<h3>
Answer: Choice B</h3>
Reflection along y axis
Translation: 
which means we shift 3 units down
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Explanation:
Let's track point A to see how it could move to point A'.
If we were to reflect point A over the vertical y axis, then A(-4,4) would move to (4,4). The x coordinate flips in sign, but the y coordinate stays the same.
The diagram shows that A' is located at (4,1) instead of (4,4). So a y-axis reflection isn't enough to move A to A', but we can shift that reflected point three units down. That will move (4,4) to (4,1) which is exactly where we want to end up. Note how we subtract 3 from the y coordinate and x stays the same. So that explains the notation
Overall, this points to choice B as the final answer. If we apply these steps to points B and C, you should find that they'll land on B' and C' respectively. Apply this to all of the points on the triangle ABC, and it will move everything to triangle A'B'C'.
Answer: 1,200.65+ 985.43+ 1,200.23= 3,386.31
Step-by-step explanation:
The circumference of a circle has the formula:
C = 2 π r
Now when it is dilated by a factor of 4, this only means
that the radius is also multiplied by a factor of 4, therefore the new
circumference is:
C’ = 2 π (4 r)
C’ = 8 π r
So it also grows 4 times.
Answer:
<span>The circumference will be 4 times greater than the
original.</span>
