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3 years ago

Express the following expression in the form of a + bi: (39 + 34i) + (76 + 89i) - (47 +26i).

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Answer:

68+97i

Step-by-step explanation:

(39 + 34i) + (76 + 89i) - (47 +26i).

Distribute the minus sign

(39 + 34i) + (76 + 89i) + (-47 -26i)

Combine like terms

(39+76-47)+(34i+89i-26i)

68+97i

andre [41]3 years ago

3 0

Answer:

68+97i

Step-by-step explanation:

work shown and pictured

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If the original square had a side length of

irina [24]

Answer:

Part a) The new rectangle labeled in the attached figure N 2

Part b) The diagram of the new rectangle with their areas in the attached figure N 3, and the trinomial is $x^{2} +11x+28$

Part c) The area of the second rectangle is 54 in^2

Part d) see the explanation

Step-by-step explanation:

The complete question in the attached figure N 1

Part a) If the original square is shown below with side lengths marked with x, label the second diagram to represent the new rectangle constructed by increasing the sides as described above

we know that

The dimensions of the new rectangle will be

$Length=(x+4)\ in$

$width=(x+7)\ in$

The diagram of the new rectangle in the attached figure N 2

Part b) Label each portion of the second diagram with their areas in terms of x (when applicable) State the product of (x+4) and (x+7) as a trinomial

The diagram of the new rectangle with their areas in the attached figure N 3

we have that

To find out the area of each portion, multiply its length by its width

$A1=(x)(x)=x^{2}\ in^2$

$A2=(4)(x)=4x\ in^2$

$A3=(x)(7)=7x\ in^2$

$A4=(4)(7)=28\ in^2$

The total area of the second rectangle is the sum of the four areas

$A=A1+A2+A3+A4$

State the product of (x+4) and (x+7) as a trinomial

$(x+4)(x+7)=x^{2}+7x+4x+28=x^{2} +11x+28$

Part c) If the original square had a side length of x = 2 inches, then what is the area of the second rectangle?

we know that

The area of the second rectangle is equal to

$A=A1+A2+A3+A4$

For x=2 in

substitute the value of x in the area of each portion

$A1=(2)(2)=4\ in^2$

$A2=(4)(2)=8\ in^2$

$A3=(2)(7)=14\ in^2$

$A4=(4)(7)=28\ in^2$

$A=4+8+14+28$

$A=54\ in^2$

Part d) Verify that the trinomial you found in Part b) has the same value as Part c) for x=2 in

We have that

The trinomial is

$A(x)=x^{2} +11x+28$

For x=2 in

substitute and solve for A(x)

$A(2)=2^{2} +11(2)+28$

$A(2)=4 +22+28$

$A(2)=54\ in^2$ ----> verified

therefore

The trinomial represent the total area of the second rectangle

7 0

3 years ago

This Question is about Animals. I am no vegan, but why is it ok to eat certain animals such as fish and rabbit but not ok to eat

Zigmanuir [339]

Answer:

From what I looked up on Google vegans don't eat fish, maybe some do but vegetarians do still eat fish. The reason why is because their are many types of health benefits that come with eating fish. "Seafood is a healthy source of protein, is full of heart healthy fats and contains iron and a host of vitamins like B-12" (Honeyager).

I also feel like they ignore the fact that there food was a real animal cause some of society does not want to look at the thing there eating as a once alive animal cause I feel like they know how badly some animals are taken care of through there life time then kill through half of it. And yes I know that other livestock are taken well care of and given a good life before there death. And most feel it's not okay to eat dogs is because most people actually live around them and know how sweet and kind they are and how they are pets for most. I also feel if it were cows (or some farm animal) instead, like people kept them as pets(just an example) then they would see the personality of a cow and I guess they would feel more pity for them and not kill them. I hope you understand it's hard to explain my thinking pattern. IDK but this whole question and answer is just based on peoples emotions whether they are saddened by it, say they don't care, or others who want to make a difference it's all built around peoples emotions and everyone's different and they have different emotions

The first paragraph I researched and the second is not fact at all, it just the true on how I feel. (It probably made no sense to you) Sorry for the 2 page essay!

3 0

3 years ago

16x16+14-99x8= First to get it right gets my hulu account NO CHEATING WITH A CACULATOR

vova2212 [387]

Answer:

16x16+14−99x8

=16x16+14+−99x8

Answer- =16x16−99x8+14

sooo its -522

Step-by-step explanation:

hope this helps! :)

5 0