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Digiron [165]
3 years ago
10

The differencee of 3 times a number and 18 is 39

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

3x-18 = 39

3x = 57

x = 19

(3*(19))-18 = 39

57-18 = 39  

3x-x+2=4

Step-by-step explanation:

hope it help

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Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

=========================================================

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

------------------

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
A person bikes 2 1/2 miles at a constant rate in 1/8 of an hour. What distance, in miles,does the person bike in an hour?
Bad White [126]

Answer:

The person bikes 20 miles in an hour.

5 0
2 years ago
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muminat
I am rocking with C. Jasmine left class for head.

if im wrong let me know
8 0
2 years ago
How do you do a and b on this problem
gogolik [260]

for a all you have to do is * you will find the answer. for b what ever yo answer was for a u will put that for the hours n what u had * u put for min for seconds
8 0
3 years ago
Find the graph and all the characteristics (centre,vertex,covertice,length of
katen-ka-za [31]

8x²+3y²=24

8x²+3y²-24=0

Let x be 1 ,

Therefore

8+3y²-24=0

3y²-16=0

3y²=16

y²=16/3

y=4/1.7

y=40/17

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8 0
3 years ago
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