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hram777 [196]
3 years ago
11

Prove that using: X ∩ (Y ∪ Z ) =(X∩Y) ∪ (Y ∩ Z )

Mathematics
1 answer:
sertanlavr [38]3 years ago
5 0

There should be a typo in the question: the correct formula would be

X\cap(Y\cup Z)=(X\cap Y)\cup (X\cap Z)

Let's compute X\cap (Y\cup Z) first. We have

(Y\cup Z)=\{1, 4, 5, 6, 7, 8, 9\}

If we intersect this set with X, we have

X\cap (Y\cup Z) = \{5, 8, 9\}

So, that would be the left hand side. For the right hand side, we have

X\cap Y = \{8\},\quad X\cap Z = \{5,9\}

And their union is again \{5,8,9\}

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2. Which statement is true?
salantis [7]

Answer:

C.) All squares are rectangles

Step-by-step explanation:

Rectangles

-4 sides

-the length of opposite sides are equal

-the opposite sides are parrallel to each other

-all angles in a rectangle are 90°

Squares have all the characteristics needed in a rectangle

8 0
3 years ago
Given the following formula, with A= 27 and t=3, solve for r.<br> А=P(1 + Tt)
zheka24 [161]

Answer:

Option C. r = (27 – P)/3P

Step-by-step explanation:

The following data were obtained from the question:

A = 27

t = 3

r =?

А = P(1 + rt)

With the above formula, we can obtain the value of r as follow

А = P(1 + rt)

27 = P(1 + 3r)

Divide both side by P

27/P = 1 + 3r

Subtract 1 from both side

27/P – 1 = 1 – 1 + 3r

27/P – 1 = 3r

(27 – P)/P = 3r

Divide both side by 3

r = (27 – P)/P ÷ 3

r = (27 – P)/P × 1/3

r = (27 – P)/3P

8 0
4 years ago
What is the area of a square
RoseWind [281]
The area of a square is found by multiplying length and width, (which just so happen to be the same number) and the unit of measurement and put the power of 2 at the end (^2).
For example, if a square's length is 4cm, then you can assume the width is going to be 4cm. Finding area, you multiply 4 and 4 to get 16, and the unit of measurement (cm) and square it (^2). Thus meaning this answer would be 16cm^2.

I hope this helps!
8 0
3 years ago
Which of the following is a graph of y = x2?
iogann1982 [59]

Answer:

graph 2

Step-by-step explanation:

if you plug 2 in for x then you get 4 and 2 equals 4 in the second graph

8 0
3 years ago
Read 2 more answers
MARKING BRAINLIEST<br><br> For what value of x makes the polygon below a rhombus?
mamaluj [8]

Answer:

x=7

Step-by-step explanation:

In order for this figure to be a rhombus, the interior sides have to  add up to 180, and the angle not given by an expression has to be 90.

90+8x+7+3x+6=180

Combine like terms

90+11x+13=180

103+11x=180

Subtract 103 from both sides

11x=77

Divide both sides by 11

x=7

4 0
3 years ago
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