Answer:
Step-by-step explanation:
It asks for the common set of A and B.
<u>There only one element common to both the given sets:</u>
- A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}
39)
Its always best to factorise where you can, in most questions it tends to be a necessary step and even if its not, it usually makes things easier;
In this case, you can factorise the denominator:

To get y-intercept/s, set x = 0 and solve:
y-intercept: (0, 1/12)To get x-intercept/s, set y = 0 and solve:
x-intercept: (1, 0)
To find the asymptotes, it is necessary for us to have factorised the denominator so its a good thing that I did so at the beginning;
To get the vertical asymptote/s, set the denominator equal to 0, then just rearrange to get x:
vertical asymptotes: x = 4 and x = -3
There are no horizontal asymptotes.
Set up a ratio:
6/11 = x/26
Cross multiply:
11x = 156
Divide both sides by 11:
X = 14.18 feet ( round answer as needed.)
Answer:
Part a)
, 
Part b) The graph of the reduced image in the attached figure
Step-by-step explanation:
Let
z-----> the scale factor
x----> the length side of the reduced image
y----> the length side of the original image
so

----> equation to find the length side of the reduce image
we have



Part a) Calculate the length of each side of the reduced image




Part b) Draw the new image and label it
I assume that AB is the length of the original rectangle and AC is the width of the original rectangle
Using a graphing tool
see the attached figure
Firtly we need to know how many percents is 1/5:
1/5 * 100% = 1 * 20% = 20%
So we have 50% of party cakes and 20% of fruit cakes. Now we can easily count that sponge cakes are 30%:
100% - 50% - 20% = 30%