The attached diagram represents the Venn diagram of the sets
<h3>How to draw the Venn diagram?</h3>
The sets are given as:
- The universal set, U = The set of integers.
- A = The set of even integers.
- B = The set of odd integers.
- C = The set of multiples of 3.
- D= The set of prime numbers
From the above representation, we have the following highlights:
- Set A and set B will not intersect, because no number can be even and odd
- Set C and set D will intersect set A because they have common elements 6 and 2, respectively
- Set C and set D will intersect set B because they have common elements 3 and 3, respectively
Using the above highlights, we can now draw the Venn diagram
See attachment for the Venn diagram
Read more about Venn diagram at:
brainly.com/question/4910584
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Answer:
8y^2 + 3xy + 2y^2 - 4xy
8y^2 + 2y^2 + 3xy - 4xy
10y^4 - 1xy
Step-by-step explanation:
8y^2 + 3xy + 2y^2 - 4xy
8y^2 + 2y^2 + 3xy - 4xy
10y^4 - 1xy
Answer:
20
Step-by-step explanation:
The first step is to find out the similarity reason of the sides of the triangle, so we just divide the big side by the small side (12/4=3).
Now, for the similarity reason of the areas, we just square that number (3^2=9).
Then we just divide the area of the big triangle by 9, which is 180/9= 20.
Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
