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Mama L [17]
2 years ago
11

In which quadrant are the following points in

Mathematics
1 answer:
Naily [24]2 years ago
8 0
Answer: the following points are in Quadrant 3
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Multiply out and simplify to obtain a minimum sum-of-products boolean expression:
max2010maxim [7]

Answer:

As per the question, we need to convert product of sum into sum of product,

Given:

(A' +B+C')(A'+C'+D)(B'+D'),

At first, we will solve to parenthesis,

= (A'+C'+BD) (B'+D')

As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,

(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)

Now,  

= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"

As we know that AA' =  0, it mean

=A'B'+A'D'+C'B'+C'D'+D*0+B0

=A'B'+A'D'+C'B'+C'D'               as B * 0 and D*0 = 0

Finally, minimum sum of product boolean expression is

A''B'+A'D'+C'B'+C'D'

=

5 0
3 years ago
Classify the quadrilateral.
jok3333 [9.3K]

Answer:

Trapezoid

Step-by-step explanation:

It has two opposite parallel lines and the other two are not parallel

5 0
3 years ago
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I need to simplify this expression : 6• (10•k)
Temka [501]

Answer:

6 x 10= 60

60/2=30

Answer is<u> 30</u> i think

Step-by-step explanation:

7 0
3 years ago
15 POINTS!!!!!!!! How is a linear function affected when a constant is multiplied by x?
Lapatulllka [165]

Answer:

The Y-intercept changes .

Step-by-step explanation:

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3 years ago
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A rectangular turtle aquarium is 6 ft long by 4 ft wide. The aquarium is enlarged by increasing
My name is Ann [436]

Answer:

8ft x 6ft

Step-by-step explanation:

For this problem, we want to create measurements of length and width that double our current area.  First we need to find the current area.

C_Length = 6 ft

C_Width = 4 ft

C_Area = C_Length * C_Width

C_Area = 6 ft * 4 ft = 24 ft^2

Now we want our new area to be double the old area.

N_Area = 2C_Area

N_Area = 2 * 24 ft^2

N_Area = 48 ft^2

Now we simply need to find the increase in width and length, distributed equally, that will create the new area.

N_Area = (C_Length + x) * (C_Width + x)

Where x is the amount that each variable is increased by to create the new area.

Now we simply solve for x.

N_Area = (C_Length + x) * (C_Width + x)

48 = (6 + x) * (4 + x)

48 = 24 + 10x + x^2

0 = -24 + 10x + x^2

Now we can either apply the quadratic formula or attempt to factor using the constant break down method.

(x + 12) (x - 2) = 0

x = -12; x = 2

Note that we will choose x = 2 since the other option would require us to have negative material, which is impossible.

Now we can check to validate our answer by plugging in the value of x.

48 ?= (6 + 2) * (4 + 2)

48 ?= (8) * (6)

48 == 48

Thus, we have found the dimensions of the new aquarium, 8ft x 6ft.

Cheers.

6 0
3 years ago
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