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andreyandreev [35.5K]
1 year ago
5

Can someone please help me with This question? I don’t understand it. Please and thank you I would really appreciate it!! :)

Mathematics
1 answer:
tamaranim1 [39]1 year ago
3 0

(A∩B)∪(A∩C) using roster method is as follows:

(A∩B)∪(A∩C)  = {a, e, f}

<h3 />

<h3>What are sets?</h3>

Sets are an organized collection of objects that can be represented in set-builder form or roster form.

Therefore,

The universal sets is as follows:

U = {a, b, c, d, e, f, g, h}

The subsets are as follows:

A = {c, e, f}

B = {a, e, f}

C = {a, b, d, g, h}

Therefore, let's find (A∩B)∪(A∩C) using roster method.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

Hence,

(A∩B) = {e, f}

(A∩C) = {a}

Finally,

(A∩B)∪(A∩C) = {a, e, f}

learn more on set here: brainly.com/question/26905324

#SPJ1

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Write an equation for the line that is parallel to y=-4x+2 and goes through (0,7)
Soloha48 [4]

Answer:

The answer is

<h2>y = - 4x + 7</h2>

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is y = - 4x + 2

Comparing with the general equation above

Slope / m = - 4

Since the lines are parallel their slope are also the same

Slope of parallel line = - 4

So the equation of the line using point (0,7) and slope - 4 is

y - 7 =  - 4(x - 0) \\ y - 7 =  - 4x

We have the final answer as

<h3>y = - 4x + 7</h3>

Hope this helps you

3 0
3 years ago
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What is an equivalent expression with fewer terms than 3x-4-(5x+7)
SOVA2 [1]
-2x-11 because you distribute the negative to everything in the parentheses and then combine like terms
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3 years ago
Am I correct??????????
Nady [450]

yesss your answer is good

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What is the area of a rectangle with sides length of 5/12 feet and 2/3 feet
AleksandrR [38]

Answer:

The answer is 10/36 or if you want to simplify, 5/18

Step-by-step explanation:

To solve the area of a rectangle, you need to multiply the sides with each other, so 5/12 x 2/3 is 10/36 (unsimplified) . You multiply the numerators and then the denominators and simplify.

8 0
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Given that P = (-5, 11) and Q = (-6, 4), find the component form and magnitude of vector QP.
dybincka [34]

We'll use the Pythagorean Theorem (otherwise known as the Distance Formula):

Going from Q to P, x increases by 1 and y increases by 7. Thus, the component form of QP is <1,7>, and the magnitude of this vector is √(1^2+7^2) = 5√2.

Note: this is equivalent to <1, 7>, square root of 50.

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3 years ago
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