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ikadub [295]
2 years ago
9

2. If ¡2x+3 = i, where i = V-1, then which of the

Mathematics
1 answer:
Alexus [3.1K]2 years ago
6 0

I assume you mean the equation

i^{2x+3} = i

Since i = √(-1), we have i⁴ = 1 and so i⁵ = i. Then 2x + 3 must be some multiple of 5.

Now just check for which of the given choices that this holds:

x = 16   ⇒   2x + 3 = 35   (yes)

x = 11   ⇒   2x + 3 = 25   (yes)

x = 10   ⇒   2x + 3 = 23   (no)

x = 14   ⇒   2x + 3 = 31   (no)

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Find the equation of the line with Slope = 8 and passing through (3,28). Write your equation in the form
kvasek [131]

Answer:

y = 8x + 4

Step-by-step explanation:

y=mx+b

m=8

y = 8x + b

We just need to find b. B is where the line intersects the y- axis. On the y-axis by definition, the x-coordinate =0 but that is not helpful now...

Let's re write and try to solve for b. That means write as b = ...

y = 8x + b

b = y - (8x)

Substitute for x and y the numbers of the coordinates of the given point (3,28):

b = y - (8*x)

b = 28 - (8*3)

b = 28 - 24

b = 4

So the answer is y = 8x + 4

8 0
2 years ago
Which of the following is the correct ordered pair when (-3,1) is rotated 270 degrees clockwise?
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(-1,-3)

Step-by-step explanation:

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2 years ago
The product of two numbers is 25 find the smallest value of their sum
chubhunter [2.5K]
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5 0
2 years ago
Slove for x for the triangle
ioda

Answer:

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Step-by-step explanation:

8 0
3 years ago
julio has found that his new car gets 36 miles to the gallon on the highway and 31 miles per gallon in the city. he recently dro
SashulF [63]

Answer:

Miles he drove on highway = 180 miles

Miles he drove in the city = 217 miles

Step-by-step explanation:

Lets assume that gallon used on highway = x

Miles driven on highway = y

(I) 36 miles per gallon on the highway.

36x = y    equation 1

(II) 31 miles per gallon in the city.He recently drove 397 miles on 12 gallons of gasoline

31(12-x)= 397-y    equation 2

372-31x= 397-y

Combine the constants:

-31x= 397-372-y

y-31x = 25

Now substitute the value of equation 1 in equation 2

y-31x=25

36x-31x=25

5x=25

Now divide both sides by 5

5x/5=25/5

x=5

Now substitute the value x=5 in equation 1

36x=y

36(5)=y

180= y

Now subtract the miles driven on highway from recently drove miles to get the miles driven in the city.

397-y = 389 - 180

= 217

Therefore,

Miles he drove on highway = 180 miles

Miles he drove in the city = 217 miles ....

8 0
3 years ago
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