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const2013 [10]
3 years ago
7

What is the standard form of (2-4i)(3+5i)/(3+i)?

Mathematics
2 answers:
Eva8 [605]3 years ago
8 0

Answer:

AKA Letter Choice E on Plato!!

german3 years ago
5 0
\dfrac{(2-4i)(3+5i)}{3+i}=\\
\dfrac{6+10i-12i+20}{3+i}=\\
\dfrac{26-2i}{3+i}=\\
\dfrac{(26-2i)(3-i)}{9+1}=\\
\dfrac{78-26i-6i-2}{10}=\\
\dfrac{76-32i}{10}=\\
\dfrac{38}{5}-\dfrac{16}{5}i
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There is 1500 ft of fencing available to make 6 identical pens. Find the maximum area for EACH pen (meaning maximum of one pen).
hjlf

Answer:

The maximum area is therefore is 93750 ft²

Step-by-step explanation:

The given parameter are;

The a]length of fencing available = 1500 ft.

The perimeter of the figure = 9·x + 4·y

Therefore, 9·x + 4·y = 1500 ft.

The area of the figure = 6 × (x × y) = 3·x × 2·y

From the equation for the perimeter, we have;

9·x + 4·y = 1500

y = 1500/4 - 9/4·x = 375 - 9/4·x

y = 375 - 9/4·x

Substituting the value of y in the equation for the area gives;

Area = 3·x × 2·y = 3·x × 2·(375 - 9/4·x) = 2250·x - 27/2·x²

Area = 2250·x - 27/2·x²

The maximum area is found by taking the derivative and equating to zero as follows;

d(2250·x - 27/2·x²)/dx = 0

2250 - 27·x = 0

x = 2250/27 = 250/3

x = 250/3

y = 375 - 9/4·x = 375 - 9/4×250/3 = 187.5

The maximum area is therefore, 3·x × 2·y = 3 × 250/3 × 2 × 187.5 = 93750 ft²

The maximum area is therefore = 93750 ft.²

4 0
3 years ago
A fruit punch mixture is made of Orange juice, Pineapple juice, and Cranberry juice in a 3:5:7 ratio. How much of each juice typ
Genrish500 [490]

Answer: a good amount

Step-by-step explanation:

because if you just get a table spoon for all flavour mixtures then wala they are all the same amount -__-------------i is not smart at all srry

4 0
3 years ago
Read 2 more answers
Answer quick please? simplify the expression
Varvara68 [4.7K]

Answer:

5/3

Step-by-step explanation:

i did math lol

6 0
3 years ago
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Geometry
satela [25.4K]

Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.

By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.

∠8 ≅ ∠11 [Alternate interior angles]

m(∠8) = m(∠11) = 118°

Therefore, Option (C) will be the answer.

7 0
3 years ago
What is the equation of a line with a slope of -3 and a y-intercept of 4
ratelena [41]

Answer:

y = -3x + 4

Step-by-step explanation:

slope-intercept form: y = mx + b

Note that: m = slope

y- intercept = b

m = slope = -3

y-intercept = b = 4

Plug in the corresponding number to the corresponding variables:

y = mx + b

y = -3x + 4 is your answer.

~

5 0
3 years ago
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