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3 years ago

Find the absolute value of the complex number 5 - 4i.

2 answers:

8 0

I answered a similar question for someone else. The absolute value of a complex number is called the modulus. This represents the DISTANCE to the origin from the point on the imaginary + real plane.
the real horizontal distance is 5 and the imaginary vertical distance is in this case 4 (from -4i) the distance is 4. So to figure out this just use the Pythagorean theorem.
5^2 + (4)^2 = c^2
25 +16 = c^2
c^2 = 41c = 6.4 So option D.

balu736 [363]3 years ago

7 0

Answer:

The person above me is correct give him brainliest plz you can't give brainliest entail there are two answers.

Step-by-step explanation:

the answer is (D)

hope you give brainliest to the person above me :)

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Answer:

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Step-by-step explanation:

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3 years ago

Which is an equation in point-slope form for the line that passes through the points (−1,4) and (3,−4) ? y+4=2(x−3) y+4=−2(x−3)

beks73 [17]

Answer:

y-4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

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3 years ago

Consider the following formula used to estimate the height, h, of a seeding after w weeks since planting h=(1/5)w + (8/5)which o

Bogdan [553]

Answer:

w=5h-8

Step-by-step explanation:

Take the original formula h=(1/5)w+(8/5)

Subtract -8/5 on both sides to isolate the w, so h-8/5=(1/5)w

Now you have to get rid of the 1/5, so multiply 5(h-8/5), the 5 in the 8/5 cross each other out. You are left with 5h-8

7 0

3 years ago

A triangular playground has sides that are lengths 2x feet, x-1 feet and x feet. If the perimeter of this playground is 27 feet,

Keith_Richards [23]

Answer:

The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

Step-by-step explanation:

At first, let us find the perimeter of the playground

∵ Perimeter of a triangle is P = S1 + S2 + S3

∵ The sides of the triangular playground are (2x) ft, (x - 1) ft, and x ft

∴ S1 = 2x, S2 = x - 1, S3 = x

→ Substitute them in the rule of the perimeter above

∵ P = 2x + x - 1 + x

→ Add the like terms

∴ P = (2x + x + x) - 1

∴ P = 4x - 1

∵ The perimeter of this playground is 27 feet

∴ P = 27

→ Equate the two values of P

∴ 4x - 1 = 27

→ Add 1 to both sides

∴ 4x - 1 + 1 = 27 + 1

∴ 4x = 28

→ Divide both sides by 4

∵ $\frac{4x}{4}$ = $\frac{28}{4}$

∴ x = 7

→ Substitute the value of x in each side to find their lengths

∵ S1 = 2(7)

∴ S1 = 14 feet

∵ S2 = 7 - 1

∴ S2 = 6 feet

∵ S3 = 7 feet

∴ The lengths of the sides of the playground are 14 feet, 6 feet, 7 feet

7 0

3 years ago