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nevsk [136]
3 years ago
8

Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

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HELP!!!! I WILL MARK YOU BRAINLIST
Marina86 [1]

Answer:

k= 12 x= 5

Step-by-step explanation:

4 0
3 years ago
Reagan spends 26% of her weekly allowance on 2 banana splits. Banana splits cost $3.25 each. How much does Reagen recieve for he
Kruka [31]
So lets go step by step, first lets see how much Reagan spent, that is 2 banana splits, $3.25 each, that is:
total spent = 2*3.25 = 6.50
So Reagan spent $6.50 of her weekly allowance, and the problem says that $6.50 represents 26% of her weekly allowance, the question is to find out how much represents the 100% of her weekly allowance.
We can solve this using a rule of three, simple, with direct proportion:
 26% -----> $6.50
100% ----> x
x = (100)(6.50)/26 = 650/26
x = 25
therefore Reagan's weekly allowance is $25
3 0
3 years ago
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inches
DanielleElmas [232]

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = \frac{1}{3}\pi r^{2}h

As given,

V = 9\pi

⇒\frac{1}{3}\pi r^{2}h = 9\pi \\  \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

8 0
3 years ago
The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find
Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x


2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058


 height is 14 cm

5 0
3 years ago
What involves taking calculated risks
natali 33 [55]

Answer:

Calculated risks are risks that we can take even if we fail. Indeed, there are people willing to risk everything, and some even succeed, in doing so, but one has to see the overall picture in mind and only then make a decision

3 0
3 years ago
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