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Aleks [24]
4 years ago
12

How do I solve (3+i)(3-i)

Mathematics
2 answers:
diamong [38]4 years ago
7 0
(3+i)(3-i)=3(3-i)+i(3-i)=9-3i+3i-i^2=9-(-1)=\\\\=9+1=10
nalin [4]4 years ago
3 0
(3+I)(3-1)
-i^2+9=0
-I^2=-9
I^2=9
i= + or - 3
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Kelly, Matt, and Bo are sharing 2 pizzas equally. How much pizza does each person get?
kvasek [131]

Answer:

Hi! The answer is 1.5

Step-by-step explanation:

Kelly + Matt + Bo = 3

3, People / 2, Pizzas

3/2 = 1.5

1.5, Pizzas

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4 0
3 years ago
One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final e
miss Akunina [59]

Answer:

Increase

Step-by-step explanation:

Since your not including the bad mark, it'd increase.

3 0
3 years ago
∆ABC transforms to produce ∆A'B'C'. Which transformation did NOT take place?
never [62]

Answer: The answer is (D) Reflection across the line y = -x.


Step-by-step explanation:  In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.

(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.

(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.

(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.

(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.

Thus, the correct option is (D).


6 0
3 years ago
Read 2 more answers
Find the product of (3^6)(3)(3^5) Express your answer using exponents
VikaD [51]

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

a^x + a^y = a ^{x+y}

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

6 0
3 years ago
Read 2 more answers
Garrett works for a company that builds parking lots the graph shows the area of a parking lot based on the length of one side.
dedylja [7]

Answer: Option D.

Step-by-step explanation:

this is a quadratic equation of the form:

y = ax^2 + bx + c

First, things you must see.

The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.

Second, we can see that the vertex is located in x ≈ 70

The vertex of a quadratic equation is: x = -b/2a

so we have:

70 = -b/2a

let's try our options and see if we can discard other:

B:

-b/2a = 69.9/2 = 34.95

we can discard this option.

C:

-b/2a = 78/2 = 39 we can discard this option.

D:

-b/2a = 69.9/2*0.5 = 69.9

This is the only one that fits, so this is the correct option.

8 0
3 years ago
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