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Lisa [10]
3 years ago
13

Rewrite the expression 4+ the square root of 16-(4)(5) decided by 2 as a complex number in standard form a+bi

Mathematics
1 answer:
bija089 [108]3 years ago
8 0

Answer: 4 + \sqrt{4i}

Step-by-step explanation:

4+ \sqrt{16-(4)(5)} = 4 + \sqrt{16-20} =4 + \sqrt{-4} = 4 + \sqrt{4i}

if it matters then simply further...

4 + \sqrt{4i} = 4 + 4i^{1/2}

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What is the radical form of each of the given expressions? 4 1/7 AND 4 7/2 AND 7 1/4 AND 7 1/2 I WILL UPVOTE
PilotLPTM [1.2K]
Assuming these are 4^(1/7), 4^(7/2), 7^(1/4) and 7^(1/2), the conversion process is pretty quick. the denominator, or bottom, of your fraction exponent becomes the "index" of your radical -- in ∛, "3" is your index, just for reference. the numerator, aka the top of the fraction exponent, becomes a power inside the radical.

4^(1/7) would become ⁷√4  .... the bottom of the fraction becomes the small number included in the radical and the 4 goes beneath the radical
in cases such as this one, where 1 is on top of the fraction radical, that number does technically go with the 4 beneath the radical--however, 4¹ = 4 itself, so there is no need to write the implied exponent.

4^(7/2) would become √(4⁷)  ... the 7th power goes with the number under your radical and the "2" becomes a square root

7^(1/4) would become ⁴√7  ... like the first answer, the bottom of the fraction exponent becomes the index of the radical and 7 goes beneath the radical. again, the 1 exponent goes with the 7 beneath the radical, but 7¹ = 7

7^(1/2) would become, simply, √7
4 0
4 years ago
Find the final price or each product after sales tax is applied. Round to the nearest cent. Potted Plant: $17.29 Sales Tax: 3%​
Margaret [11]

Answer:

17.81 would be your answer.

Step-by-step explanation:

You would do 17.29 x 1.03 to get the price after sales tax is added which would be 17.81

4 0
3 years ago
Can someone please answer these for me?!
Advocard [28]

Answer:

base : 9

three points : (1,0), (9,1), (81,2)

domain : x>0

range : all real number

asymptote : x=0

7 0
3 years ago
Solve for x:<br> -x &lt; -29
horrorfan [7]

Answer:

x can be any number lower than -29, for example 30, which will turn into -30 because of the negative symbol before x.

7 0
3 years ago
Slope= -2, y-intercept=5
vlabodo [156]

Answer:

y = -2x+5

Step-by-step explanation:

The formula for slope is y=mx+b.

(m = slope and b = y-intercept)

Plug in the numbers and you get your equation.

6 0
3 years ago
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