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pentagon [3]
3 years ago
13

What is the product of 9/14 and 7/15A. 1/10 B. 3/10C. 16/29D. 8/105​

Mathematics
2 answers:
Sedaia [141]3 years ago
6 0

Answer:

63/210 or 3/10

B.

Step-by-step explanation:

14 · 15 = 210

9 · 7 = 63

____ [38]3 years ago
3 0

Answer:

B- 3/10

Step-by-step explanation:

9/14 x 7/15

multiply across so you would now get 63/210 and we can divide the top and bottom by 21  so it will simplify to 3/10

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I just need answers to the odd numbered questions.<br> I would appreciate the help<br><br> 35 points
Misha Larkins [42]

Answer:

Step-by-step explanation:

Combine real terms and combine complex terms

1) 3 + 2i + 2 - 5i = 3 +2 + 2i - 5i

                          = 5 + (2-5)i

                          = 5 + (-3)i

                          = 5 - 3i

3) 2 - (1 - 2i) + (4 -5i ) - (1 - 3i)  = 2 -1 + 2i + 4 - 5i - 1 + 3i

           {- is distributed to (1 - 2i) & - is distributed to (1- 3i)}

              = 2 - 1  + 4 + 1 + 2i - 5i + 3i

              = 6 +0i = 6

5) 4 - 3i + 4 + 3i = 4 +4 -3i + 3i

                          = 8

7) (3 - 2i)² + (3 +2i) = 3² - 2*3*2i + (2i)² + 3 + 2i     {(a - b)² = a² - 2ab +b²}

= 9 -12i + 4i² + 3 + 2i

= 9 - 12i + 4*(-1) + 3 + 2i       {i²  = -1}

= 9 +3 - 4 - 12i +2i

= 8 - 10i

9) (a +b)^{4} - (a - b)^{4} = 8ab(a^{2} +b^{2})\\\\\\Here, \ a = 1 \ and \ b = i\\\\\\(1+\sqrt{-1})^{4}-(1-\sqrt{-1})^{4}=(1+\sqrt{i^{2}})^{4}-(1-\sqrt{i^{2}})^{4}\\\\=(1+i)^{4}-(1-i)^{4}\\\\=8*1*i(1^{2}+i^{2})\\\\=8i*(1 -1)\\\\=8i*0\\\\=0

6 0
3 years ago
What is the solution of the equation when solved over the complex numbers? X2+24=0.
oksano4ka [1.4K]

Answer:



In the picture

8 0
3 years ago
Read 2 more answers
The __function is the most basic function in a family of functions.
Ivanshal [37]

Answer:

B. Parent

Step-by-step explanation:

A parent function is the simplest capacity of a group of functions that saves the meaning of the whole family.

Feel free to let me know if you need more help! :)

6 0
3 years ago
Complete the point-slope equation of the line through (1,3)(1,3)left parenthesis, 1, comma, 3, right parenthesis and (5,1)(5,1)l
Anarel [89]

Answer:

y - 3 = -1/2(x-1)

Step-by-step explanation:

Given the coordinates (1, 3) and (5,1). The point slope form is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the required point

Get the slope

m = 1-3/5-1

m = -2/4

m = -1/2

Using the point (1,3), substitute

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7 0
3 years ago
The perimeter of a rectangle is twice the
masya89 [10]

Answer:

The length is 14 m.

Step-by-step explanation:

length = L

width = W

perimeter = P

"The perimeter of a rectangle is twice the  sum of its length and its width."

P = 2(L + W)

"The  perimeter is 40 meters"

40 = 2(L + W)

"and its length is 2  meters more than twice its width."

L = 2W + 2

Replace L with 2W + 2 in equation 40 = 2(L + W):

40 = 2(2W + 2 + W)

40 = 2(3W + 2)

20 = 3W + 2

3W = 18

W = 6

The width is 6 meters.

L = 2W + 2 = 2(6 m) + 2 m = 12 m + 2 m = 14 m

Answer: The length is 14 m.

5 0
3 years ago
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